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Mathematics Questions and Answers February 28, 2023

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( x 1x 2) xx 1=101.4 xx 2=100.2 s21 s 22 Z /2 + n1 n2 S21=3.3 S22=1.7 (101.4100.2) 2.33 3.3 1.7 + 5 5 = (-1.13, 3.53) There is a no statistical significance since 0 is included in the interval

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What is a type I and type II errors in hypothesis testing? What would be examples of each? Explain

At which points on the curve y =x^5-5x^4-6 , does the tangent line have the smallest slope

A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.) What is the lower limit, upper limit, and margin of error?

Prepare a written response to the following questions: 1. Fry Brothers heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day.

I only have one chance for these questions in the files. Total 3 questions. Please get them right! Notice that these are the easy questions wich should not take you more than 20 mins

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Which value of r indicates a strongercorrelation: r=0.721 or r=0.912? Explain your reasoning. A.r=0.721 represents a stronger correlation because 0.721 > - 0.912 B.r=0.721 represents a stronger correlation because |-0.912|>|0.721| C. r=-0.912represents a stronger correlation because|-0.912|>|0.721| D. r=-0.912represents a stronger correlation

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The time spent(in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. = 125 = 18.7 A) What is the shortest time spent waiting for a heart that would still place a patient in the top 10% of waitingtimes?

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Estimating the Expectation A measurement follows the Normal distribution with standard deviation that is equal to 15 and an unknown expectation . Two statisticians propose two distinct ways to estimate the unknown quantity with the aid of a sample of size 36. Statistician A proposes to use the sample average as an estimate. Statistician B proposes

The mean annual cost of automobile insurance is u=$939. Assume that the standard deviation is o=$245. What is the probability that a simple random sample of 30 automobile insurance policies will have a sample mean between 910 and 960?

An experiment involves16 participants. From these, a group of 3participants is to be tested under a special condition. How many groups of3participants can be chosen, assuming that the order in which the participants are chosen is irrelevant?

\f\f\fFrequency Distribution - Quantitative Maintenance lower 320 340 360 380 400 420 440 460 480 500 520 540 560 Histogram 20.0 Percent 18.0 16.0 14.0 12.0 10.0 8.0 6.0 4.0 2.0 0.0 Maintenance Descriptive statistics Maintenance count 80 mean 450.29 sample variance 2,882.18 sample standard deviation 53.69 minimum 329 maximum 570 range 241 1st

The time it takes a student to walk from the dorm to the chemistry lab follows approximately a Normal distribution with a mean of 20 minutes and a standard deviation of 3 minutes. What are the walking times of the middle 90% of the students to walk from the dorms to the chemistry lab?

1. For a population with a standard deviation of = 20, how large a sample is necessary to have a standard error that is: a. less than or equal to 10 point? b. less than or equal to 4 points? c. less than or equal to 2 point? 2. The following samples were obtained from a population with a mean of = 40 and a standard deviation of = 8. Find the

Chi-square test 1. Make a conjecture about some facet of sports. a. For example, \"Curtis Granderson is a less good hitter when facing left-handed pitching.\" b. Choose an example with a clear, dichotomous definition of success; e.g. \"he gets a hit, not an out.\" This is your dependent variable, and it is given in the columns of the table. c. The

Please solve this x for me log(x+132)-log(x+2)=logx a. 11, 12 b. 12 c. 11 d. 12

analyze the following problem in JMP and answer the questions below. A sports enthusiast wants to examine the factors that influence an NFL Quarterback's salary. In particular, he wants to assess the influence of the pass completion rate (PC), the total touchdowns scored (TD), and a quarterback's age on Salary. He uses 2009 data collected from USA

x y 37 22 34 20 39 24 45 32 43 27 48 31 60 31 54 26 52 29 Find the equation of the regression line. Construct a scatter plot of the data and draw the regression line. Plot thex-values on the horizontal axis and they-values on the vertical axis. Construct a residual plot. Plot thex-values on the horizontal axis and the residuals on the vertical

In a particular chi-square goodness-of-fit test, there are three categories and 700 observations. Use the 0.05 significance level. (a) How many degrees of freedom are there? Degrees of freedom: 2 (b) What is the critical value of chi-square? (Round your answer to 3 decimal places.) Critical value: __________

In a survey of 8000 women, 5431 say they change their nail polish once a week. Construct a 9 5 % confidence interval for the population proportion of women who change their nail polish once a week.

What is the difference between a parameter and a statistic?

The simple interest formula is A=P(1+r)^twhere P represents the amount originally deposited, r is the interest rate, and A is the amount in the account after t years.Find rif A = 2 600, P = 2 200 and t = 5.Express ras a percentage to one decimal place.

Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 121 c = 302 A. 13,724.27B. No triangle is formed.C. 24,172.48 D. 24,186.58

Student 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 Year of Birth 1973 1973 1990 1960 1984 1982 1977 1969 1986 1980 1994 1993 1979 1973 1974 1976 1962 1987 1974 1985 1968 1976 1971 1980 1994 1981 NA: not answered Error, do not use! Height (in.) 60 65 65 61 67.25 66.5 65.75 68.5 71.75 66.75 68 69 64 62 66.5 61 62 67 60 68

In a bag are three red marbles and three green marbles. If two marbles are drawn from the bag at the same time, what is the probability that both marbles will be red

A testing organization is evaluating the effectiveness of sinus relief tablets, relief and sineout. As part of the analysis the organization collects 44 sinus sufferers and randomly assigns them to one of two groups. The first group gets relief and the other gets sineout. The length of time to get relief is measured. The mean time to get relief

find the slope for the line written in simplest form 2x-5y=-3

How do you find the margin of error? Is it preset or something that you calculate?

need in given time .................................................................................. ................................................................................................................ ........................................................................................

53% of the adults in a certain city are female, and 15% of the adults are unemployed males. (a) What is the probability that an adult chosen at random in this city is an employed male? (b) If the overall unemployment rate in the city is 22%, what is the probability that a randomly selected adult is an employed female?

You find a certain stock that had returns of 14 percent, -27 percent, 19 percent, and 21 percent for four of the last five years, respectively. The average return of the stock over this period was 9.5 percent. What is the standard deviation of the stock's returns? Please show work/steps on how you solved the problem! Thank you!

In SPSS, when you click onAnalyzeand then selectDescriptive Statistics, this function allows you to compute the ____. mean standard deviation all of the three given options (above or below). range

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A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling companys specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 50 bottles is selected, and the sample mean amount

How reliable do you think a confidence interval is with respect to determining a parameter?

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Your medical supplies company uses four different laboratories to execute chemical analyses on FDA approved quality control trials. A study is designed to investigate the four laboratories to see if they give, on the average, the same results. Samples of the same material are sent to the four laboratories. The analytical results for the four

A researcher collected sample data for women ages to . The sample had a mean serum cholesterol level (measured in mg/100 mL) of , with a standard deviation of . Assuming that serum cholesterol levels for women ages to are normally distributed, find a confidence interval for the mean serum cholesterol level of all women in this age group. Then

The y-intercept is the difference in the mean of xslopex-valuemean of y and the product of the mean of x and the slope.

NEED ANSEWER NOW Sales for the past eight quarters is given in the table below. Calculate the Seasonality Index for the third quarter. (Keep two decimals) Period Sales 2013 Q1 27 2013 Q2 32 2013 Q3 45 2013 Q4 54 2014 Q1 20 2014 Q2 41 2014 Q3 62 2014 Q4 68

I need with a histogram chart done in excel. Can someone help me with this? The number are listed below that need to used. Market Share Percentage Mean 33.0088 .53832 95% Confidence Interval for Mean Lower Bound 31.9317 Upper Bound 34.0860 5% Trimmed Mean 33.0344 Median 32.6200 Variance 17.387 Std. Deviation 4.16979 Minimum 25.17 Maximum 39.81

o A researcher wishes to estimate, with 9 9 % confidence, the population proportion of adults who are confident with their country's banking system. His estimate must be accurate within 5 % of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a

HI215 Final Project Instructions and Guidance Final Project: Scenario The executive finance team at Anywhere Hospital is reviewing charge levels for various surgical units. The team leader has requested a CDM management report from the CDM coordinator (You). She would like the report to include the following: 1. Medicare reimbursement, cost, and

must be done in Exel The data stored in Drink represents the amount of soft drink in a sample of 50 2-liter bottles. Construct a histogram and a percentage polygon. Construct a cumulative percentage polygon. On the basis of the results in (a) and (b), does the amount of soft drink filled in the bottles concentrate around specific values? AMOUNT

stat 151 lab question: is there convincing evidence thatCanadahasseen a change in the proportion of atheists between2005 and 2012? Carry out the appropriate testat the level ofsignificance of 0.05to answer thequestion. Paste the corresponding output into your report. In particular, state the null andalternative hypotheses, report the value of the

The U.S. Department of Transportation maintains statistics for involuntary denial of boarding. In JulySeptember 2013, the American Airlines rate of involuntarily denying boarding was 0.45 per 10,000 passengers. What is the probability that in the next 10,000 passengers, there will be a. no one involuntarily denied boarding? b. at least one person

In a survey of 2230 U.S. Adults., 1272 think that air travel is much more reliable than taking cruises. A.) Construct a 95% confidence interval for the population proportion of U.S. adults who think that air travel is much more reliable than taking cruises. B.) Change the confidence level to 90% and repeat A. What happened to the interval after

Write the null and alternative hypotheses for the following example. Determine if it is a case of a two-tailed, a left-tailed, or a right-tailed test. To test if the mean amount of money spent by all customers at a supermarket is greater than 93 dollars. H 0 : dollars H 1 : dollars This is a two-tailed testright-tailed testleft-tailed test .

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Let X be an infinite set with the finite complement topology. Let T1 denote the product to topology on X*X and let T2 dent the finite complement topology on X*X. Prove that T1 is strictly finer than T2.

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If p= 4/5 what is the smallest value of n that satisfies the requirements for a normally distributed p hat?

The annual incomes of all MBA degree holders working in Los Angeles are approximately normally distributed with a mean of $72,000 and a standard deviation of $12,000. According to the empirical rule, the percentage of these MBA degree holders with an annual income between $60,000 and $84,000 is approximately: a) 50% b) 68% c) 95% d) 99.7% e) None

Which of the following statements are not true in developing a confidence interval for the population mean? a) The width of the confidence interval becomes wider as the confidence level increases. b) The width of the confidence interval becomes narrower when the sample mean increases. c) The width of the confidence interval becomes narrower when

A graphic designer makes a presentation to clients and this results in sales of her services in 1/4 of the cases. Assuming the results for different clients are independent. A. Find the probability that exactly 3 of the next 4 presentations result in sales. B. Find the probability that none of the presentations result in a sale

Week 3 Project - STAT 3001 Student Name: Date: Instructions: To complete this project, you will need the following materials: STATDISK User Manual (found in the classroom in DocSharing) Access to the Internet to download the STATDISK program. Part I. Analyze Data Instructions Answers 1. Open the file MOVIES using menu option Datasets and then

The degrees of freedom used in a t distribution are equal to the sample size. True False

A rectangular tank is 24 cm wide and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Ivy pulls the stone out of the tank, the height of the water drops to 6 cm. Find the volume of the stone.

MAT-540 WEEK 8 ASSIGNMENT I You are to solve Problem 30 in Chapter 4 on page 158 of your textbook. It's about publishing three weekly magazines. You can use QM for Windows to perform a sensitivity analysis for Objective function coefficients and the RHS values of the constraints. Be sure give the shadow price/dual values for an extra hr of

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10th grade public school students in a small town taking a standardized English test produced test scores that were normally distributed with a mean of 85 and a standard deviation of 4. Suppose Jeremy, a student in this population, earned a 92 on the standardized test. What is the Z-score of Jeremys test score? please show formula

A teacher is experimenting with a new computer-based instruction and conducts a study to test its effectiveness. In which situation could the teacher use a hypothesis test for matched pairs? The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the

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When increasing our level of confidence from 95% to 99%, the interval: A. grows B. shrinks C. remains the same D. none of the above

A psychologist claims that more than 2 percent of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test is conducted to test this claim, identify the null hypothesisH 0 and the alternative hypothesisH a . p represents the true percentage of the population that suffers from extreme shyness a. H 0

I have some questions I am having a hard time with for my evidence base class, 45. An RCT is the most rigorous study design A) True B) False 46. Odds ratios express the likelihood that an event will versus will not happen and is a useful concept in evidence based practice applications A) True B) False The standard deviation is an index of ?

Although the actual amount varies by season and time ofday, the average volume of water that flows over the falls each second is 5.310^5 gallons. How much water flows over the falls in anhour? Write the result in scientific notation.(Hint: 1 hour equals 3600seconds) ____ gallons of water flows over the falls in an hour. use multiplication symbol

Hello, I hope you had a great weekend :) here is the last thing ever for this class, just wanted to thank you for helping me out, your awesome at this and I truly appreciate you taking the time to help me :)

Math 012 Quiz 4 Fall 2016 Professor: Dr. Kate Bauer Name________________________________ Instructions: The quiz is worth 40 points. There are 8 problems, each worth 5 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments. This quiz is open book and open notes, and you may take as long

A research institute conducted clinical trials of a method designed to increase the probability of conceiving a boy. 152 babies born to parentsusing the method , 123 were boys . I dentify the margin of error and the 95 % confidence interval. 2-Study done by researchers at university concluded that 80% of all student athletes in this country have

Assume the random variableX has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X13),n=15,p=0.7

PSYC 355 SPSS HOMEWORK 3 INSTRUCTIONS ONE-WAY ANOVA Part One: Green & Salkind: Lesson 25, Exercises 1-3 The following helpful tips are numbered to correspond with the exercise number to which they refer (a dash indicates that no tips are needed): 1. Use Tukey's test as the post hoc test for ANOVA's in PSYC 355. Be sure to check this box when you

Let Theta > 0. Let X1,....,Xn ~ Uniform(-theta, theta). (a)Write down the conditional distribution of p(X1,....,Xn | X1). (b) Is X1 a sufficient statistic?

As a general surgeon on a hospital staff, your observations have led you to think that certain kinds of pain may be alleviated by offering just some kind of drug, whether that drug is potent or not. To test this, three drugs that differ in pain-killing strength, and a placebo, are randomly administered to patients that have just undergone minor

1. Read the article \"How to Display Data Badly,\" by Howard Wainer listed above. It was published in the American Statistician in 1984, volume 38, pages 137-147. It is a quick, informative, and (dare I say?) enjoyable read. Scour the internet (or if you are feeling particularly plucky, look through your company's annual report!) to find an

Find the derivative of the function f(x)= (x^2/4)-(1/2)x^-2

You are considering two mutual funds for your investment. The possible returns for the funds are dependent on the state of the economy and are given in the accompanying table. State of the Economy Fund 1 Fund 2 Good 33% 38% Fair 15% 16% Poor 18% 13% You believe that the likelihood is 18% that the economy will be good, 50% that it will be fair, and

1.Suppose the mean income of firms in the industry for a year is50million dollars with a standard deviation of17million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than87million dollars? Round your answer to four decimal places. 2.The auto parts department of

researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 ( = 1050). The 16 students who attend the preparation course average 1150 on the SAT,

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Suppose we are with a real estate agency that has the following houses listed in a specific geographic area. $150,000; $146,000; $152,000; $155,000; $143,000; $157,000; $180,000; $148,000; $154,000; $146,000; $155,000 Which measure of center would be best used to advertise the house prices for this area? Also, please add or subtract one or more of

The initial visual impact of a scatter diagram depends on the scales used on the x and y axes. Consider the following data. x 5 1 2 3 4 6 y 1 4 6 3 6 7 Make a scatter diagram using the same scale on both the x and y axes (i.e., make sure the unit lengths on the two axes are equal). Draw the straight line that best fits the data points. A) D) B) C)

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find a z score satisfying the given condition 33% of the total area is to the right of z

A. Vertex: (0, 0); Focus: (3, 0); Directrix: x = 3; Focal width: 3 B. Vertex: (0, 0); Focus: (0, 3); Directrix: y = -3; Focal width: 12 C. Vertex: (0, 0); Focus: (3, 0); Directrix: y = 3; Focal width: 48 D. Vertex: (0, 0); Focus: (0, -3); Directrix: x = -3; Focal width: 48 Find the vertex, focus, directrix, and focal width of the parabola. (1

Chapter 09, Section 9.2, Problem 022 Consider H0: u=100 versus H1: u=/ 100. A random sample of 69 observations produced a sample mean of 99. Using would you reject the null hypothesis? The population standard deviation is known to be o=14 not sure about the symbol the equal sign with the / thru it did best I could to input it.

The scores on an undergraduate Statistics exam are normally distributed with a mean of 75 and a standard deviation of 8. what is the probability that a randomly selected student scores between 70 and 80 on this exam?

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Solve the system of equations by the Gauss-Jordan method. (Enter your answers as a comma-separated list. If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrize the solutions in terms of the parameter t.) x 1 + x 2 + x 3 = 5 x 1 + 2x 2 + 2x 3 = 11 x 1 + 3x 2 + 2x 3 = 13 (x 1 , x 2 , x 3 ) =

use the normal approximation to find the probability of getting exactly 20 aces in 120 rolls of fair die.

What is the explanation Portions of variance and treatments in layman's terms so I an understand the meaning (statistics is not my forte) :)

I JUST NEED A SURE ANSWER PLEASE!!! You do a t test for dependent means in exactly the same way as a ttest for a single sample, except that you use somethingcalled: Choose one answer. a. the mean variance b. variance of the dependent means c. difference scores d. independent t scores

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females: x (lb) 21 18 24 19 21 25 20 15 25 21 17 24 26 22 y (lb) 126

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A notebook computer dealer mounts a new promotional campaign. Purchasers of new computers may, if dissatisfied for any reason, return them within 2 days of purchase and receive a full refund. The cost to the dealer of such a refund is $125 The dealer estimates that 16% of all purchasers will, indeed, return computers and obtain refunds. Suppose

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