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Mathematics Questions and Answers March 12, 2023

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Develop an experimental research scenario where you could use either a one-sample or two-sample t-test or a one-way analysis of variance to analyze the data and reach a conclusion about the research question posed in the example. Do your work in a word processing document and paste answers into the exam text boxes as plain text, responding to each

3.30 Suppose the value of r^2 is 100% for the relationship between two variables 1)what is indicated about the strength of the relationship 2)what are the two possible values for the correlation coefficient for the two variables?

If = 0.5, find the P (X = 0). If = 3.9, find the P (X = 8)

CASE 14-1 Exercises in Sample Design 3. In each of the following situations, make recommendations as to the type of sample to be used, the method of selecting the sample, and the sample size. 1. 2. The manager of the appliance department of a local full-line department store chain is planning a major one-day nonprice promotion of food processors,

What is a population? A population is a ---Select---setsummarysample of ---Select---parametersstatisticsmeasurements , either existing or conceptual. Give three examples. (Select all that apply.) A) count of all antelope in Wyoming B) proportion of students who graduate C) weights of all students in your school D) mean trout lengths based on

Please help me, I am very confused with the question below. So, now that we have been discussing the question for a few days, you can see that if you use the " probability < 5% " criterion the answer is "unusual", whereas if you use the " more that two standard deviations " criterion the answer is "not unusual". Who wants to tells us why this is

POISSON RANDOM VARIABLE PROBLEM: The number of people arriving at a fast food drive-thru in any given 2 minute interval obeys a Poisson process with mean 1. Suppose that the waiters can only process 3 orders in any given 4 minute interval (also, assume the waiters can process an order instantaneously, but are limited in how many they can process

Suppose that 51% of the population of U.S. voters favors a particular presidential candidate. If a random sample of 55 voters is chosen, approximate the probability that fewer than 26 favor this candidate. Use the normal approximation to the binomial with a correction for continuity . Round your answer to at least three decimal places. Do not

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1)Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was .78. At the .01 significance level, is the correlation in the population greater than zero? (Round your answer to 3 decimal places.) The test statistic is .

What does an experiment and sample space mean in relationship to probability?

Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money invested in bonds must be at least twice as much as that in stocks. But the money invested in bonds must not be greater than $18,000. If the bonds earn 6%, and the stocks earn 8%, how much money should he invest in each to maximize profit?

True or False? There are in total6 waysto arrange 2 out of 3 books (A, B, and C) on a shelf if the order of each arrangementdoes matter.

Assignment: Lecture08 Simple Linear Regression 1. Industry automobile sales should be related to consumer sentiment. The following table provides a regression analysis in which sales of automobiles and light trucks (in millions of vehicles) are estimated as a function of a consumer sentiment index. Regression Statistics 0.80113 0.64181 0.81325 120

Two teaching methods, A and B , are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if method A is used, and a 85% chance of success if method B is used. However, method B is substantially more time consuming and is therefore used only 20% of the time (method A is used the other 80% of the time). The

NUM 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 SALARY $44,000 $51,000 $44,000 $43,000 $47,000 $42,000 $49,000 $50,000 $48,000 $46,000 $52,000 $45,000 $53,000 $52,000 $44,000

The Relationship of Learning Orientation to Organizational Performance Heidi M. McLaughlin, (E-mail:hmclaughlin@mail.barry.edu), Barry University Gregory C. McLaughlin, (E-mail:gmclaug@aol.com), Capella University Robert C. Preziosi, (E-mail: Preziosi@nova.edu), Nova Southeastern University Abstract This study incorporates the constructs of

The probability that a visitor to an animal shelter will adopt a dog is 0.10. Out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted?

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Team Dallas Cowboys New England Patriots Washington Redskins New York Giants Houston Texans New York Jets Philadelphia Eagles Chicago Bears 49ers Green Bay Packers Baltimore Ravens Indianapolis Colts Denver Broncos Pittsburgh Steelers Miami Dolphins Carolina Panthers Seattle Seahawks Tamp Bay Buccaneers Tennessee Titans Kansas City Chiefs

10 - STAT 3360 - SPRING 2016 DUE BY APRIL 19 [SECTIONS 002, 003] || BY APRIL 20 [SECTION 001] SECTION [CIRCLE ONE! =>] FIRST NAME 001 002 LAST NAME 003 READ SECTIONS 15.1 AND 15.2. TABLE 5 IS REQUIRED. PROBLEM 1 [SECTION 15.1] EDUCATION EXPERTS BELIEVE THAT THE GRADE DISTRIBUTION AMONG STUDENTS WHO TAKE MATH OR STAT UNDERGRADUATE COURSES SHOULD BE

1 All of the following are measures of process of health care in a clinic except: Proportion of patients in whom blood pressure is measured Proportion of patients who have complications of a disease Proportion of patients advised to stop smoking Proportion of patients whose height and weight are measured Proportion of patients whose bill is

MATH 137 Project 4 Name:__________________________ Financial data for the rates of return of two stocks A and B for 4 years is as per table. year A B Probability 1 0.4 0.8 0.25 2 0.7 1.2 0.25 3 -0.5 -0.6 0.25 4 0.6 1.0 0.25 A portfolio of the two stocks puts equal amount of money in A and B. 1. Find the covariance of A and B. _____________ 2. Find

a pair of honest dice is rolled and the number on each dice is noted. what is the probability of rolling a total that is neither 6 nor 8?

Find the z-scores for which 90% of the distributions area lies between -z and z.

Journal Project Part A: Please use the given information to answer the following questions. (Show your work) 1. According to the team marketing report quoted by Dallas Morning News, the average ticket price was up 4.7 percent for last year; show how they obtained a 4.7 % increase. 2. Further, is the 4.7 % increase accurate? If not, what should be

The average battery life of the iPhone 4S is reported to be 6.0 hours by Apple. Assume that the population standard deviation for the better life for this cell phone is 30 minutes. A random sample of 50 iPhones had an average better life of 5.7 hours. Determine the margin of error (in hours) for the 90% confidence interval for this sample.

Two fair dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice land on different numbers?

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Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. Each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a Likert-type scale, 1 = strongly disagree and 5 = strongly agree) . The sum of the 10 ratings was each respondents self-esteem score. Their results were: t = 2.01, d =

In a playoff series, the probability that Team A wins over Team B is 3/5, and the probability that Team C wins over Team D is 4/7. If the probabilities are independent, the probability that Team A wins and Team C loses is A. 9/35 B. 12/35 C. 7/35 D. 1/3

An average of 40 cars per hour arrive to be painted at a single-server GM painting facility. 95% of the cars require 1 minute to paint. 5% must be painted twice and require 2.5 minutes to paint. Assume that interarrival times are exponential. On average, how long does a car wait before being painted?

27. The April 10th issue of the Journal of the American Medical Association reports a study on the effects of anti-depressants. The study involved 340 subjects who were being treated for major depression. The subjects were randomly assigned to receive one of three treatments: St. Johns wort (an herb), Zoloft (Pfizers cousin of Lillys Prozac) or

27. The April 10th issue of the Journal of the American Medical Association reports a study on the effects of anti-depressants. The study involved 340 subjects who were being treated for major depression. The subjects were randomly assigned to receive one of three treatments: St. Johns wort (an herb), Zoloft (Pfizers cousin of Lillys Prozac) or

1)The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 11 8 8 10 11 9 9 14 8 5 Find a 95% confidence interval for the population standard deviation. Please show all work.

For an independent-samples t test, there are 8 participants in Group 1 and 11 participants in Group 2. What is the total degrees of freedom?

Essay 1. John and Mario of Mi Casa Front Porch Restaurant wanted to identify if there was a difference in sales between their newest locations, North Scottsdale and Glendale since they spend most of their time at the original location. Based upon a 6 year review of sales, the mean for North Scottsdale $729K with a standard deviation of $25K and

The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 2 lb. and 2 oz., or 964 grams. Assume the standard deviation of the weights is 22 grams and a sample of 45 loaves is to be randomly selected. (a) This sample of 45 has a mean value of x, which belongs to a sampling

Discussion: Statistical Significance and Meaningfulness Once you start to understand how exciting the world of statistics can be, it is tempting to fall into the trap of chasing statistical significance. That is, you may be tempted always to look for relationships that are statistically significant and believe they are valuable solely because of

The average age for college students is 24.6 years, with a standard deviation of 2.8 years. Assume a normal distribution. What is the probability of selecting a sample of 200 students with an average age that is less than 24?

Listed below are contributions (in dollars) made to two presidential candidates in a recent election. Find the coefficient of variance for each data set. Is there a difference in variation between the two data sets? Candidate_A Candidate_B 1019 1279 1697 967 860 191 1614 1113 1226 1102 500 101 1750 143 750 902 1500 184 1711 868 1413 832 1764 949

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The National Sleep Foundation used a survey to determine whether hours of sleep per night are independent of age ( Newsweek , January 19, 2004). A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours and 8 hours or more. Later in the survey,

Given three sets, A, B and C, draw a Venn diagram, and shade the portion corresponding to: (A B ' ) C

Italian 12 13 15 17 18 20 17 24 Seafood Steakhouse 16 24 18 19 17 23 26 25 23 21 15 22 19 27 18 31 Excel Project 6 This Excel Project contains 7 questions. Work out the answers to the questions and then click on "Excel Project 6" to submit your answers. Directions for performing analysis of variance in Excel are in the Excel Demo for this week.

Hierarchical linear modeling is used in situations where the variables to be correlated are nested within different organizational levels. independent variables can be ordered in a logical relation to each other. two or more dependent variables are related to each other. All of the above.

At the 6:00 p.m. time slot TV channels 2, 5, 11, and 46 all offer an evening news program. Data shows that 40% of the viewers watch channel 2, 25% watch channel 5, 20% watch channel 11 and 15% watch channel 46. If a sample of size 300 was taken, what would be the EXPECTED number of viewer who watch channel 11? Question 1 options: 60 45 120 75 A

A nuclear power company is deciding whether to build a nuclear plant at Chico Canyon or at Pleasantville. The cost of building the power plant is $14 million at Chico and $20 million at Pleasantville. If the company builds at Chico, however, and an earthquake occurs at Chico during the next 5 years, construction will be terminated and the company

100. What is meant by the term 90% confident when constructing a confidence interval for a mean? a. If we took repeated samples, approximately 90% of the samples would produce the same confidence interval. b. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the sample mean. c.

We saw that there was nearly a2.7:1 male to female ratio in our sample. WMU reported that theirFall2014student population had 49% male populationCan we say that this proportion has changed since lastsemester?

Describe 1 potential business application of the F-test (F = s 1 2 s 2 2 ) comparing the variances of two populations (not ANOVA). Be sure to clearly identify the variable and explain why variation in that variable is important to measure.

H 0 : population mean 0 = 120 Sample of n = 64 was collected and sample mean is x = 125. Assumingthat the population standard deviation is = 20, calculate test statistics. H 0 : population mean 0 = 120 Sample of n = 64 was collected and sample mean is x = 125. Assumingthat the population standard deviation is = 20, calculate test statistics. 1.5

The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BMI) for beauty pageant winners from two different time periods. Find the coefficient of variation for each of the two sets of data, then compare the variation. BMI (from the

Two dice are rolled, find the probability that the sum is a) equal to 1

The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes. (Round your answers to 2 decimal places.) b. How long does the typical patron wait for elevator service? Waiting time c. What is the standard deviation of the waiting time? Standard deviation d. What

The following data give the prices of seven textbooks randomly selected from a university bookstore. $91 $174 $101 $128 $53 $158 $149 a. Find the mean for these data. Calculate the deviations of the data values from the mean. Is the sum of these deviations zero? Mean = $ Deviation from the mean for $174 = $ Sum of these deviations = $ b. Calculate

5. We are interested in estimating the average amount of money that was made on opening weekend by allfilms that opened in the US from 2003 2007. Provide your best estimate, based on your data. (Assume thepopulation standard deviation is $9.71 million by previous knowledge.) 6. Studio XYZ knows that their films made an average of $45 million on

A multiple regression analysis included 4 independent variables results in sum of squares for regression of 1400 and sum of squares for error of 600. The multiple coefficient of determination will be:

Unnithan, Houser, and Fernhall were interested in whether playing the game Dance Dance Revolution affected the heart rate of overweight and nonoverweight adolescents differently. A group of 22 adolescents, 10 classified as overweight and 12 as not overweight, played DDR for 12 minutes, during which time the researchers measured each participant's

Data set 2presents a sample of the number of defective flash drives produced by a small manufacturing company over the last 30 weeks. Use Excels Analysis ToolPak (or any statistical package that you are comfortable with) to compute the regression equation for predicting the number of defective flash drives over time (in weeks), the correlation

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = 1.48 and z = 1.91 is

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Suppose that joint probability density function (pdf) of A and B is given by f A,B ( a,b ) = k(a-b), if 0

Past records suggest that the mean annual income, , of teachers in state of Illinois is less than or equal to the mean annual income, , of teachers in Massachusetts. In a current study, a random sample of 25 teachers from Illinois and an independent random sample of 25 teachers from Massachusetts have been asked to report their mean annual income.

What is the level of measurement for the SCREW LENGTH variable? Please explain why? Screw length variable is below in column 1 labeled Length Length COPY SORT FICO Col 5 0.757 0.757 0.722 708 658 0.723 0.723 0.723 713 663 0.754 0.754 0.724 781 731 0.737 0.737 0.724 809 759 0.757 0.757 0.725 797 747 0.741 0.741 0.734 793 743 0.722 0.722 0.735 711

Air-America has a policy of booking as many as 14 people on an airplane that can seat only 12. (Past studies have revealed that only 92% of the booked passengers actually arrive for the flight.) Using the Binomial distribution, find the probability that if Air-America books 14 people on a flight, not enough seats will be available.

Application: Computing t Tests The one-sample t test discussed in Chapter 6 requires that you know the population mean. It is unusual to have this information, so most studies compare two samples instead. Each sample measures a different condition of the independent variable. Before conducting a study, it is important to know if you would need to

COMP 233, Winter 2016 CONCORDIA UNIVERSITY PROBABILITY AND STATISTICS FOR COMPUTER SCIENCE. Assignment 3. Due: March 25, 2016. 1. (a) [6 marks] A random variable X has the standard normal distribution. Use the standard normal Table to determine : P (X 0.5), P (| X | 0.5), P (X 0.5), P (1 X 1), P (| X | 0.5), P (1 X 0.5) . (b) [6 marks] Suppose X

Letbe a standard normal random variable. Use the calculator provided to determine the value ofsuch that P (Z is less than or equal to C) = 0.1093 Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

Solve the problem.A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

If you are planning, designing, and using a computerized dispatch system to enhance the efficiency and productivity of an emergency medical transportation (EMT) provider in terms of resource deployment for nonemergency response, How would you measure system performance? When changes are made to a process, it is necessary to measure the results of

Readability Levels of Magazine Ads," by F.K. Shuptrine and D.D. McVicker, is an article in the Journal of Advertising Research. The following is a list of the number of threesyllable (or longer) words in advertising copy of randomly selected magazine advertisements. 38, 25, 41, 35, 14, 28, 43, 14, 21, 22, 36, 21, 7, 14, 10, 9, 10, 10, 17, 26, 29,

Is there a significant difference in the level of community service participation between college and high school graduates? According to the 2010 GSS, 38% of 160 college graduates reported volunteering in the previous month compared with 29% of 210 high school gradutates. A. What is the research hypothesis? Should you conduct a one- or a

The monthly return of Eli Lilly stock follows a normal distribution with a mean of 0.03 and a standard deviation of 0.10. a) what is the probability that the return of Eli Lilly stock for next month will be negative(i.e., less than zero) b) what is the probability that the average of the four monthly returns of Eli Lilly stock over the next four

Dr. Johnson conducted an independent-samplest-test to explore the effect of gender on treatment outcomes. On examination for assumptions, Dr. Johnson, who had a sample size of 88 participants, found that the data were positively skewed. The data did not meet the assumption of normality. Can Dr. Johnson continue interpreting the results of his

A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 14 hours, with a standard deviation of 3.0 hours. It is desired to estimate the mean viewing time within two-quarter hour. The 99 percent level of confidence is to be used. How many

Consider the following null and alternative hypotheses. H 0 : U < 0 H a : U > 0 These hypotheses __________. Select one: A. indicate a one-tailed test with a rejection area in the right tail B. indicate a one-tailed test with a rejection area in the left tail C. indicate a two-tailed test D. are established incorrectly

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Mini-Project 4 Math 243 Spring 2016 (Total: 60 points) Introduction: In this project we apply the main techniques developed in the course in a (fairly) realistic setting, namely on survey data generated by the class. This is not a simple random survey, but for purposes of this exercise we treat it as such, with the background population that of

Census Education Data Not a High School Grad High School Graduate Some College No Degree Associate's Degree Bachelor's Degree Advanced Degree Total Persons 29,620,292 58,207,318 29,620,292 12,915,825 28,242,604 13,604,669 Age 25-34 4,683,126 12,553,926 7,792,092 3,423,798 8,382,402 2,439,948 35-44 5,335,440 15,117,080 8,136,546 4,134,966 8,136,546

Suppose the average size (in square feet) of homes in a certain region is 2356. Assume the variable is normally distributed with standard deviation 240. If a person in the region was intending to build a 2812 square foot home but downsized and built a 2272 square foot home, what was the change in percentile rank from the original plan to the

1. From Data to Decision: Refer to the indicated data set in Table 2-1. A. Refer to the indicated Table 2-1 data set - Explain your findings 1. Identify the class width, class midpoints, and class boundaries for the given frequency distribution. For these data sets, it seemed appropriate to use a class width of 5 years, starting with age 20. Under

Compare and contrast Spearman and Pearson correlations.

A local car agency has 50 cars. The rental rate for the winter months is 60%. find the probability that in a given winter month AT LEAST35 cars will be rented. use the normal distribution to approximate the binomial distribution.

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 ( Magoosh website , January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of 100. a. What percentage of GMAT scores are 647

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1. value: 1.00 points The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 3 employees were assigned to assemble the subassemblies. They produced 14 during a one-hour period. Then 5 employees assembled them.

1)Construct the indicated confidence interval for the population mean mu using a t-distribution. c=0.99, x overbar=114, s=10, n29 The confidence interval is ( , )? 2)43% of a certain country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of likely voters who

A statistical test of significance allows us to ______. estimate a normal curve develop an hypothesis make a decision about a null hypothesis prove a research hypothesis

test scores 69 57 55 63 48 56 59 58.1428571 13.8868/6=2.3145 (10 points) A firm that installs large computers has introduced a new training course for installers. The first class of seven has just completed the course. Their scores are 69, 57, 55, 63, 48, 56, and 59. Assuming that these seven people are a random sample of trainees and the scores

How many five-symbol computer passwords can be formed using the letters A to J and the digits 4 to 6?

Running head: PATIENTS 1 Geriatric Patient Analysis Kaitlyn Knowles Indiana Wesleyan University STAT-535A - Statistics for Business Decision Making Geriatric Patient Analysis Today, people are living longer, but they are also living with more co-morbidities than ever before and surviving more than ever before. Hospital bills are a major expense

2. a. Look at the scatterplot below with height on the X-axis and wrist diameter on the Y-axis. b. Use the five-step hypothesis testing procedure to determine if there is a statistically significant relationship between height and wrist diameter. (Use Pearson's r) c. Use the five-step hypothesis testing procedure to determine if height is a

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Premium >= $150 Premium < $150 Insurance Progams A B 76 74 74 69 69 68 69 67 64 69 64 60 C 72 71 71 D 75 73 73 71 71 70 72 71 70 ADM 2304 Assignment 3 Due Date: Saturday, March 19, 2016 Instructions: 1. You may use Minitab or other software for any calculations. However, you must show your manual calculations when asked. You may paste your output

Examine the survey results below. Choose one of the items, determine the descriptive statistic that is reported, and indicate what it means. For example, What is the highest level of education of this group? (Please do not repeat the same topic as your classmates.) Why did you decide to pursue a baccalaureate degree in nursing? Themes from

The following data give the 2015 bonuses (in thousands of dollars) of 15 randomly selected Wall Street managers. 107 122 163 95 48 347 75 273 60 786 127 203 402 239 71 Prepare a box-and-whisker plot.

An online store contacts 1000 customers from its list of customers who have purchased something from them in the last year. In all, 696 of the 1000 say that they are very satisfied with the stores Web site. The population in this setting is (a) all customers who have purchased something in the last year. (b) the 1000 customers contacted. (c) the

Find the probability and interpret the results. If convenient, use technology to find the probability. The population mean annual salary for environmental compliance specialists is about $65,500. A random sample of 45 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $62,500? Assume

MAT540 Homework Week 3 Page 1 of 2 MAT540 Week 3 Homework Chapter 14 1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probability distribution. The squad is on duty 24 hours per day, 7 days per week: Probability 0.05 0.10 0.30 0.30 0.20 0.05 1.00 sh is ar stu ed d vi y re aC s ou ou

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