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Mathematics Questions and Answers March 04, 2020

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Provide an appropriate response. The government of a town needs to determine if the citys residents will support the construction of a new town hall. The government decides to conduct a survey of a sample of the citys residents. Which one of the following procedures would be most appropriate for obtaining a sample of the towns residents A) Survey
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Construct a frequency distribution for the data using five classes. Describe the shape of the distribution. The data set Pick Three Lottery Outcomes for 10 Consecutive Weeks 3 676061784 1575915399 2230884024 A) bell shaped B) uniform C) skewed to the left D) skewed to the right
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A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months. Use the given data to answer parts (a) and (b). 325 433 402 347 416 478 380 333 445 409 531 550 410 406 336 (a) Determine the standard deviation and interquartile range of the data.
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Q35. If the value of the determinant 15 1 1 w2 value of k. 1 k(w w) where w Then find t 1w
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How much does a sleeping bag cost Lets say you want a sleeping bag that should keep you warm in temperatures from 20F to 45F. A random sample of prices () for sleeping bags in this temperature range is given below. Assume that the population of x values has an approximately normal distribution. 75 95 60 100 75 90 30 23 100 110 105 95 105 60 110
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Scientists testing a new type of random number generator produced this set of data 49 51 34 51 49 18 51 50 31 52. Find the mean and standard deviation of this data x 43.60 and s 11.74. u 43.60 and 11.74. x 51 and s 43.60. x 43.60 and s 49.5
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Use the Venn diagram to identify the population and the sample. The ages of home owners in a certain county The ages of home owners in the county who work at home Choose the correct description of the population. OA. The number of home owners in the county B. The ages of home owners in the county C. The ages of home owners in the county who work
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Question 2 of 6 2. How many critical values will the hypothesis test HO p0.40 vs. H1 p 0.40 have Answer Previous Answer. 1
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Consider a normal population with u 50 and 6. A sample size of at least which size needs to be obtained in order to achieve a standard error of 2 or less O n 16 n9 n 3 On3 n 4
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Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80 of the time. Identify the null hypothesis, alternative hypothesis, test statistic, Pvalue, conclusion about the null
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The following data represent the hightemperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c). Temperature Days 5059 5 6069 321 7079 1459 8089 9099 100109 1512 446 8 (b) Use the frequency histogram of the data to verify that the distribution is bell shaped.
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Bse the lengths of human pregnancies are normally distributed with u266 days and o Complete parts (a) and (b) below. The figure to the right represents the normal curve with 266 days and a 16 days. The area to the right of X285 is 75. Provide two interpretations of this area. wide one interpretation of the area using the given values. ct the
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D. Consider the three distributions below. 10 12 14 16 18 20 3 6 9 12 15 17 Distribution L Distribution M 12 16 20 24 28 32 Distribution N Order the distributions from least to greatest in terms of the proportion of data less than the mean. (A) M, L, N (B) N, L, M (C) M, N, L (D) N, M, L (E) L, N, M
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Explain what is misleading about the graphic. The volume of our sales has doubled A) The length of a side has doubled, but the area has been multiplied by 4. B) The graphic is not misleading. C) The length of a side has doubled, but the area has been unchanged. D) The length of a side has doubled, but the area has been multiplied by 8.
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For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that are a. significantly high (or at least 2 standard deviations above the mean). b. significantly low (or at least 2 standard deviations below the mean). c. not significant (or less than 2 standard deviations away
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12. Suppose a simple random sample of size 36 is selected from a population of size 1,044 with mean 8 and standard deviation 1. If the sampling distribution of x is constructed, what is the expected value of x In other words, what is the value of Answer
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Save Il a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by P(x)p(1p)1, where p is the probability of success on any one trial. Subjects are randomly selected for a health
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Select the terms that best complete the statement. A nationwide chain of cooking schools gives all students a test at the end of training. The mean score is 89.7 with a standard deviation of 20.3. If 60 students are sampled, the mean of the sampling distribution is standard deviation of the sampling distribution is and the
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Monica, a chef at a 5star restaurant makes eight different desserts. She wants to see if the customers prefer any specific dessert to another. She keeps a record of desserts ordered over the course of several weeks, and the results are located under Dessert Preference data file. Complete the following table. Dessert Frequency Observed Value
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point(s) possible The graph to the right shows the number of cities with certain average annual snowfall amounts (in inches). Identify the level of measurement of the data listed on the horizontal and vertical axes in the figure. Identify the level of measurement of the data listed on the horizontal axis in the figure. Choose the correct answer
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Recently, a random sample of 1318 year olds was asked, How much do you currently have in savings The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings. Click the icon to view the frequency distribution for the amount of savings. The sample mean amount of savings is 229 (Round to
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Complete parts (a) through (h) for the data below. X 40 50 60 70 80 y 63 58 53 46 33 30 90 to 30 90 x 30 0 100 X 30 X 30 90 (f) Compute the sum of the squared residuals for the line found in part (b). 44.000 (Round to three decimal places as needed.) (g) Compute the sum of the squared residuals for the leastsquares regression line found in part
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In statistics, a population is defined as O all people living in a country O people living in one city only O a selection of a limited number of elements O all subjects or objects whose characteristics are being stud
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Students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Assume that a simple random samp has been selected. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at
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How many individual scores are in the following distribution 4 432 3 f 2 10 N5 N 6 N 10 N 4 1 2 X 3 4
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What is the coefficient of determination for Data Set B Full Data Set D Data Set C The coefficient of determination for Data Set B is (Type an integer or decimal rounded to the nearest tenth as needed.) Data Set A Data Set B X y X y X 3.6 8.9 3.1. 89 8.3 15.0 9.4 15.0 0.5 4.8 1.2 4.8 1.4 6.0 1.0 6.0 2 83 8 46 8 C 2.8 8.1 3.0 8.3 8103 y 8.9 15.0
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A student survey asked the following two questions, What gender do you identify with and In general, are you satisfied or dissatisfied with the way things are going in your personal life at this time Here is a twoway table of the results GENDER Dissatisfied Satisfied Total Female 96 236 332 Male 64 147 211 Other 6 1 7 Total 166 384 550 Given the
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If the linear correlation between two variables is negative, what can be said about the slope of the regression line Choose the correct answer below. OA. Positive OB. More information is needed Negative
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The histogram on the right represents the connection time in seconds to an internet provider. Determine which measure of central tendency better describes the center of the distribution. Frequency ONA O C What measure of central tendency best describes the center of the distribution median O mode mean 36 37 38 39 40 41 42 43 44 Time (seconds)
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The average mat exam score for the statistics course is 75. A proressor wants to see in the average nimat exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 15 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the
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Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the Pva of r. Determine whether there is sufficient evidence to support a claim of
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5. Find the critical z values. Assume that the normal distribution applies. a. Twotailed test a 0.03 b. Twotailed test a 0.02 c. Righttailed test a 0.03 d. Lefttailed test a 0.02 e. 0.10 H, is p 0.17 f. a 0.01 H, is p 0.18 g. a0.04 H, is p 0.19 h. 0.005 H, is p 0.20 6. Use the given information to find the Pvalue. a. The test statistic in
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Identify if the following statement is a proper interpretation of a 95 confidence intervall 95 of the population values will fall within this interval. O Correct O Incorrect
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Match the given conclusion to the most appropriate pvalue. The result is significant at the 5 level but not at a 1 level. 0.0001 0.0361 0.0735 0.6082
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The data to the right represent the number of chocolate chips per cookie in a random sample of a name brand and a store brand. Complete parts (a) to (c) below. Name Brand 24 29 32 28 22 25 Full data set Store Brand 16 18 31 33 24 26 26 28 35 27 21 28 22 23 31 20 23 20 S D 10 20 30 40 23 S S 10 E 20 30 40 10 20 30 40 (b) Does there appear to be a
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2 2 o If X and Y are independent random variables with variances o9 and a 6, find the variance of the random variable Z6X2Y3. 2
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Here is a data set 67 96 8 69 23 25 69 46 21 44 65 29 60 20 67 42 79 74 51 67 79 38 34 39 28 27 77 76 If you were to construct a frequency table for this data set, you would need to compute the class width. (a) What is the maximum of this data set max (b) What is the minimum of this data set min (c) What is the range of this data set range 10 1
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Question 8 of 17 8. Find the variance of the small population data set 0, 1, 0, 1, 0, 1, 0, 0, 1, 0. Answer
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In independent sample tests, what is the best way to ensure equivalence between samples A Convenience B) Random assignment
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12 13 14 15 16 17 18 6 7 8 9 10 11 data Based on the boxplot above, identify the 5 number summary a
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Compute the leastsquares regression line for predicting selling price from size. Size Selling (Square Feet) Price (1000s) 2521 400 2555 426 2735 428 2846 435 3028 469 3049 475 3198 488 3198 455
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Samples of n36 scores are selected from a population. If the distribution of sample means has an expected value of HM30 and a standard error of y4, what is the mean and the standard deviation for the population 30 and 24 30 and 8 40 and o4 150 and 18
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correspond (A) 10 20 0 T 10 20 30 40 50 (B) (C) (D) 60 39 0 10 20 30 40 50 60 0 10 20 40 30 10 20 20 30 10 4 40 50 60 56 50 60 8 30 0 40 8 50 50 60
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ibution with mean 6.8 and standard deviation 1.6 is a good description of the lowa Test vocabulary scores of seventhgrade students in Gary, Indiana. This is a continuous probability model for the score of a randomly chosen student. Call the score of a randomly chosen student X. What is Prob (X 10) a) very small. b) 0.02 c) 2.5 d) 95. Question 6
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Using Pivot Tables, find the mean and standard deviation of sales by region in the data provided. Click the icon to view the data. 4 North 21 5 North 19 6 West 24 7 South 18 8 West 23 9 South 23 Complete the table below. 10 North 19 Type integers or decimals rounded to two decimal places as needed.) 11 East 17 Average of Amount StdDev of Amount 12
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The area of the shaded region is Part 2 of 4 0.83
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A certain drug is used to treat asthma. In a clinical trial of the drug. 20 of 292 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10 of treated subjects experienced headaches. Use the normal distribution as an approximation to
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A variable is normally distributed with mean 14 and standard deviation 2. a. Determine the quartiles of the variable. b. Obtain and interpret the 80th percentile. c. Find the value that 65 of all possible values of the variable exceed. d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and
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me data below represent commute times (in minutes) and scores on a wellbeing survey. Complete parts (a) through (d) elow. ommute Time (minutes), x WellBeing Index Score, y 5 15 69.1 30 35 50 72 105 68.1 66.8 66.6 65.7 65.0 62.4 terpret the yintercept. Select the correct choice below and, if necessary, fill in the answer box to complete your
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Based on a poll, among adults who regret getting tattoos, 21 say that they were too young when they got their tattoos. Assume that seven adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. a. Find the probability that none of the selected adults say that they were too
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per ally Accepted AC es for Inventory is weightedaverage Inventory pricing. The Boswell Corporation began its fiscal year with an inventory of 156 units valued at 10.55 per unit. During the year it made the purchases listed in the following table Date At the end of the year, 239 units remained in inventory. Determine the weightedaverage cost of
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mpanying data represent the homework scores for material on Polynomial and Rational Functions for a random sample of students in a college algebra course. Complete parts (a) through (h). Click the icon to view the data. Skewed right Skewed left Uniform Bellshaped Sa X (e) Determine the sample standard deviation and interquartile range. College
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3. Counts of the numbers of spam messages received by a companys executives during one week are summarized below. Values Under Q Qi Median Q3 Values Over Q3 7,9,10 15.5 20 21.5 28, 30, 31 How many outliers are there (A) 0 (B) 1 (C) 2 (D) 4 (E) 6
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Consider testing the hypotheses Ho p 0.4 versus Ha p 0.4. Match the statistic to its pvalue. (a) p pvalue 0.72 (b) p V pvalue 0.293 (c) p pvalue 0.138 (d) p pvalue 0.019
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10. Using the matchedpairs data below, calculated where d Y X X 6,91 9.22 9.38 9.26 9.40 8.51 7.64 6.88 Y, 10.82 4.60 12.19 6.96 9.07 7.25 10.17 9.57 Round your answer to the nearest thousandths. Answer
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andard deviation 20. ) Draw a normal curve with the parameters labeled. ) Shade the region that represents the proportion of plans that charge less than 48. ) Suppose the area under the normal curve to the left of X 48 is 0.1587. Provide an terpretation of this result. A. OB. C. 48. 48 O D. 68 88 108 28 48 68 28 68 108 48 68
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A teacher gave a popquiz in class. The quiz had a maximum score of 10 points. The lowest score in the class was a 4. Draw a frequency ogive (a cumulative frequency polygon) for the set of quiz scores presented in the following FDT. Score Frequency 4 1 5 1 6 0 7 4 8 5 9 5 10 1 16 14 12 10 8 6 4 A
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JE. No, because the graph has multiple peaks. F. No, because the graph is always greater than or equal to zero. G. Yes, because the graph satisfies all of the criteria for a normal curve H. No, because the highest point of the graph occurs at the mean
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6. A researcher randomly samples 150 adults and finds the sample proportion of individuals with the characteristic of interest to be 0.25. Conduct a hypothesis test HO p 0.30 vs. H1 p 0.30 using the pvalue approach at the c 0.05 level of significance. Do you have sufficient data to reject the null hypothesis O Yes ONO Continue Reset answer
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2. Construct a 98 confidence interval to test HO P1 P2 0 versus H1 PP2 0 using the confidence interval approach at the a 0.02 level of significance given the following summary statistics of two independent random samples p 0.40, P2 0.35, n, 200, and n 240. What is the left endpoint of the confidence interval Round your answer to the nearest
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Save experiment involves a population of fruit flies consisting of 2 males named Andre and Bob and 2 females named Courtney and Diane. Assume that two fruit flies are randomly selected with replacement. 1 (Type integers or fractions.) CLA 4 b. Find the mean of the sampling distribution. 0.5 (Round to two decimal places as needed.) c. Is the mean
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Complete parts (a) through (h) for the data below. X 40 50 60 70 80 D y 63 58 53 46 33 A Ay 90 30 0 100 B.. 00 Ay 100 100 D. Ay 90 Q Q 0 30 (d) By hand, determine the leastsquares regression line. x (Round to three decimal places as needed.) 0 30 90 30 90 30 90
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1. Circle your answer using one of the three options presented below and draw a sketch of a Pareto plot for these data. Chart of PARTY PARTY
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Question 8 of 16 8. Will the critical value of the hypothesis H0 p 0.35 vs. or negative OPositive ONegative H1 p 0.35 be positive
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The monthly salaries (in thousands of dollars) of a sample of 5 sales representatives are as follows. 8, 13, 9, 7, 8 Send data to calculator Find the standard deviation of this sample of monthly salaries. Round your answer to two decimal places.
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A certain fourcylinder combination lock has 40 numbers on it. To open it, you turn to a number on the first cylinder, ther to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a fournumber lock combination has been effected. Repetitions are allowed, and any of the 40 numbers can be used at
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Q29. Differentiation of y 9 log3 x 9x xy is equal to x 0 dy (a) x logx 9x (b) dx dy dx dy (c) a ax (d) dy dx 1 9x y) 1x2xy logx (2yx1 x y) 1 1x2x2y log x x2y19x 1x2xy logx 9x (2yx2y1 x y) x
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A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3 of people actually have this predisposition. The genetic test is 98 accurate if a person actually has the
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statements is incorrect A 1 135 B 6 4 3 36 1 1 7 2 37 3 46 95 2 1 38 27 7 10 39 1259 6 400 17 41 6 (4116 means 416) (A) The distributions have the same mean. (B) The distributions have the same interquartile range. (C) The distributions have the same range. (D) The distributions have the same standard deviation.
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12. A simple random sample of size 100 was selected from a large population and a 95 confidence interval for the population proportion was constructed. Determine whether the confidence interval is valid if the sample proportion is 0.11. Yes O No Continue Reset answer
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A normal distribution has a mean of 40 with 0 10. If a vertical line is drawn through the distribution at X 34, which proportion of the scores are on the left side of the line 0.7257 0.2743 0.0668 0.1976
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Question 2 of 6 2. Using the scatter plot below, what is the value of the response variable y when the predictor variable is 4 12 10 8 Y 6 4 2 0 2 72 to Answer 4 6 8
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ne table below gives the number of elementary school children in 16 school stricts in a particular region. a) Construct a cumulative frequency distribution. b) Construct a cumulative relative frequency distribution. c) Draw a frequency polygon. d) Draw a relative frequency ogive. Number of Elementary School (a) Complete the cumulative frequency
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sample an Americanmade automobile. Of the 200 drivers surveyed, 110 responded that they c an Americanmade automobile. Determine if a majority of those with a valid drivers lice an Americanmade automobile at the x 0.05 level of significance. est statistic aces as needed.) Reject Do not reject onclude that Ho. There places as needed.) he test.
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Cher studying public opinion of proposed Social Security changes obtains a si ample of 50 adult Americans and asks them whether or not they support the To say that the distribution of the sample proportion of adults who respond y ately normal, how many more adult Americans does the researcher need to s ing cases of all adult Americans support the
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3. A simple random sample of size 150 was selected from a large population and a 95 confidence interval for the population proportion was constructed. Determine whether the confidence interval is valid if the sample proportion is 0.08. O Yes No Continue Reset answer
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results are listed below. Let F Fort Pierce, P Port St. Lucie, V Vero Beach, S Sebastian, and O Okeechobee. FPP F V V F F VF P V V 0 V S F 0 P V V 0 0 S F FPSVPS V S The data in the table above an Select an answer Complete the frequency distrit TimeSeries Class Frequency Quantitative and Discrete Qualitative Fort Pierce Quantitative and
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The following graph shows the median earnings for females from 2005 to 2009 in constant 2009 dollars. Complete parts (a) and (b) below. Click the icon to view the graph of female earnings. (a) How is the bar graph misleading What does the graph seem to convey OA. The horizontal axis starts at 2005 instead of 2000. This means all of the data from
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Assume that we want to construct a confidence interval. Do one of the following, as appropriate (a) find the critical value ta2. (b) find the critical value Za2. or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90, is not known, and the histogram of 58 player salaries (in thousands of
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A certain stimulus administered to each of the 12 patients resulted in the following increase of blood pressure. 5, 2, 8, 1, 3, 0, 2, 1, 5, 0, 4 and 8 Can it be concluded that the stimulus will, in general, be accompanied by an increase in blood pressure Given for 11 d.f., 10.05 2.2 Solution Here the increments in blood pressure is denoted by d.
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A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify the following as plausible or not for the average amount of sleep college students get on weeknights. 8 hours O Plausible O Not plausible
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Question 1 of 5 What is the slope of the line passing through the points (2,3) and (4,7) Answer
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mount of time adults spend watching television is closely monitored by firms becau to determine advertising pricing for commercials. Complete parts (a) through (d). you think the variable weekly time spent watching television would be lly distributed If not, what shape would you expect the variable to have The variable weekly time spent watching
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Draw a normal curve with 55 and 18. Label the mean and the inflection points. Choose the correct graph of the normal curve below. O A. 55 73 91 E C. B. Q 37 55 73 A 19 37 55 a a
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Determine the two values of z such that the middle 28 of the data lie between the two zvalues. Round the solutions to two decimal places, as zvalues are traditionally rounded. The middle 28 of the data lie between z and z
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For a normal distribution with 43 and 4, find the following values. (a) the semiinterquartile range
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Question 6 of 14 How many units does the point (2, 6) vertically deviate above the line y 2x2 Answer Continue Reset answer
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A researcher administers a treatment to a sample of participants selected from a population with 90. If a hypothesis test is used to evaluate the effect of the treatment, which combination of factors is most likely to result in rejecting the null hypothesis O a sample mean near 80 with a .05 a sample mean near 80 with a .01 a sample mean much
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Question 2 of 16 2. A random sample of 36 individuals is obtained from a large population with a known standard deviation of 4.9. If the sample mean is observed to be 23.22, test HO 25 versus the alternative H1 25 using the classical approach at the a 0.02 level of significance. What is the value of the test statistic Round your answer to the
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Calculate the 35th percentile of the data shown. X 2.9 15.4 17.1 19.4 24.2 27.3 28.6 30
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Use the data below to complete the following calculations. xy () X 12 40 33 43 80 62 12 y 62 57 40 70 69 775 3 70 58 11
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What is a potential challenge of a matched samples study design A Potential test fatigue of subjects B Equivalence is controlled Less people are required for the study
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2. The college bookstore tells prospective students that the average cost of its textbooks is 52 with a standard deviation of 4.50. A group of smart statistics students thinks that the average cost is higher. In order to test the bookstores claim against their alternative, the students will select a random sample of size 100. Assume that the mean
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The following are the lengths of stay (in days) for a random sample of 15 patients discharged from a particular hospital 13, 9, 5, 11, 6, 3, 12, 9, 9, 9, 5, 5, 5, 12, 12 Send data to calculator Draw the frequency polygon for these data using an initial class boundary of 2.5, an ending class boundary of 14.5 and 4 classes of equal width. Note that
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Gurpreet is very easy to get along with and is generally well liked. Gurpreet considers it very important to get along with everyone and would rather give other people their own way instead of openly disagreeing with them. According to the 5 Conflict Resolution Styles (Thomas Kilman, 1974), Gurpreet relies on this style of conflict resolution
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Over the past 10 years, five mutual funds all had the same mean rate of return. The standard deviations for each of the five mutual funds are shown below. Capital Investment 8.8 Vanity 11.1 Global Advisor 10.2 International Equities 9.3 Nomad 6.4 Which mutual fund was least consistent in rate of return (This is a reading assessment question. Be
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K IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the xscore that corresponds to a zscore of 2.33. OA. 142.35 OB. 125.95 OC. 139.55 OD. 134.95
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How many years are required for an investment to double in value if it is appreciating at the rate of 14 compounded continuously At 14 compounded continuously, the investment doubles in (Round to one decimal place as needed.) years.
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Figure 96 Price of Carnations 14 12 22 10 8 6 4 1 2 1 Domestic Supply Tariff World Price Domestic Demand 100 200 300 400 500 600 Quantity of Camations (in dozens) Refer to Figure 96. Without trade, the equilibrium price of carnations is a. 8 and the equilibrium quantity is 300. b. 4 and the equilibrium quantity is 500. c. 6 and the equilibrium
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Complete parts (a) through (h) for the data below. O A. X 21 0 1 2 D y 4 1 2 3 4 (a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. Choose correct scatter diagram below. B. C. Ay (b) Find the equation of the line containing the points (1,1) and (1,3). D. 5
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