### Investigating Customer Spending with and without a SaleA sales manager for a large department store believes that customer spending per visit with a sale is lower than customer spending without a sale and would like to test that claim. A simple random sample of customer spending is taken from without a sale and with a sale. The results are shown below.#### Statistical Summary:| Statistic Description | Without Sale | With Sale ||-------------------------------------------------|--------------|-----------|| Mean | 82.904 | 71.316 || Variance | 1984.96 | 1826.41 || Observations | 200 | 150 || Hypothesized Mean Difference | 0 | || Degrees of Freedom (df) | 328 | || t Stat | -2.465 | || P(T <= t) one-tail | 0.0071 | || t Critical one-tail | -1.65 | || P(T <= t) two-tail | 0.0142 | || t Critical two-tail | -1.967 | || Confidence Level | 99% | |#### Explanation of the Data:- **Mean**: Average customer spending.- **Variance**: Measure of the spread between numbers in the data set.- **Observations**: Number of customers sampled.- **Hypothesized Mean Difference**: The expected difference in means under the null hypothesis.- **Degrees of Freedom (df)**: The number of independent values that can vary in the calculation.- **t Stat**: The calculated t-statistic value.- **P(T <= t) one-tail**: The p-value for the one-tail hypothesis.- **t Critical one-tail**: The threshold t-value for a one-tail test at the 99% confidence level.- **P(T <= t) two-tail**: The p-value for the two-tail hypothesis.- **t Critical two-tail**: The threshold t-value for a two-tail test at the 99% confidence level.#### Graphical Representation:- The graph displayed is a standard normal distribution curve with labeled t-score axis ranging from -3 to 3.- The p-value (probability value) and the t-value (t-statistic) are to be inserted into separate fields indicated next

Given, A sales manager for a large department store believes that customer spending per visit with a…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A social psychologist wanted to determine whether attitudes of men toward abortion were different in rural and urban areas. He prepared a questionnaire and administered it to a group of city dwellers and a group of country dwellers. Each city man was matched with a country man on age, income, and education. High scores indicate positive attitudes toward abortion. Here are the questionnaire scores. Rural Men Urban Men 22 25 19 23 18 20 17 18 15 12 10 9 6 4 4 3 a. What statistical method should be used and why? b. Calculate a 95% confidence interval about the difference in the two populations. c. Use the CI to test the null hypothesis that rural and urban men have identical attitudes toward abortion.
Pages were randomly selected from The Bear and the Dragon by Tom Clancy, Harry Potter and the Sorcerer's Stone by J.K. Rowling, and War and Peace by Leo Tolstoy. The Flesch Reading Ease scores for those pages are listed below. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Clancy 58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9 Rowling 85.3 84.3 79.5 82.5 80.2 84.6 79.2 70.9 78.6 86.2 74.0 83.7 Tolstoy 69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6 Part (c) Determine whether to reject or fail to reject the null hypothesis. O Reject the null hypothesis O Fail to reject the null hypothesis
3
The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Midterm: 80, 78, 85, 82, 79, 79, 78, 86, 80, 84, 78, 84, 80, 84, 81, 78, 81, 82, 78, 84 Final: 81, 88, 68, 69, 69 81, 82, 86, 76, 71, 72, 68, 77, 86, 68, 83, 84, 71, 81, 87 z-score for midterm: 1.857 z-score for final: 1.181 Based on the z-scores calculated above, which of Jaymes's grades is more unusual, the midterm grade or the final exam grade? Select the correct answer below: A. The absolute value of the z-score for the final exam grade is greater than for the midterm grade, so the final exam grade is more unusual. B. The absolute value of the z-score for the midterm exam grade is less than for the final grade, so the midterm grade is more unusual. C. The absolute value of the z-score for the midterm exam grade is greater than for the final grade, so the midterm grade is more…
Answer and explain your answer corectly. i ll rate accordingly.
A sample survey by Comcast asked a random sample of customers about use of the Internet and about the type of community they lived in. Here are the results: Internet Users: Rural: 433 Suburban: 1072 Urban: 536 Nonusers: Rural: 463 Suburban: 627 Urban: 388 Is there a relationship between Internet use and community type? Give statistical evidence to support your findings.
The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.24 Juan 1.66 Haley −1.84 Joel 0.00 Jan −0.84 Linda 1.68 Which of these students scored above the mean? (Select all that apply.) Which of these students scored on the mean? (Select all that apply.) Which of these students scored below the mean? (Select all that apply.) If the mean score was μ = 140 with standard deviation σ = 15, what was the final exam score for each student?
Pages were randomly selected from The Bear and the Dragon by Tom Clancy, Harry Potter and the Sorcerer's Stone by J.K. Rowling, and War and Peace by Leo Tolstoy. The Flesch Reading Ease scores for those pages are listed below. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Clancy 58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9 Rowling 85.3 84.3 79.5 82.5 80.2 84.6 79.2 70.9 78.6 86.2 74.0 83.7 Part (B) Identify the test statistic and the P-value The test statistic F= The P-value is notation.) Tolstoy 69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6 (Round to four decimal places.) (Round to six decimal places. Do not use scientific
Ballistic Fingerprinting. Guns make unique markings on bullets they fire and their shell casings. These markings are called ballistic fingerprints. An ABCNEWS Poll examined the opinions of Americans on the enactment of a law “. . . that would require every gun sold in the United States to be test-fired first, so law enforcement would have its fingerprint in case it were ever used in a crime.” The following problem is based on the results of that poll. Independent simple random samples were taken of 537 women and 495 men. When asked whether they support a ballistic fingerprinting law, 446 of the women and 307 of the men said “yes.” At the 1% significance level, do the data provide sufficient evidence to conclude that women tend to favor ballistic fingerprinting more than men?
Please answers questions a through d. Thank you!
What happens to measures of effect size such as r2 and Cohen's d as sample size increases? a. Doesn't influence the effect size. b. They tend to increase. c. They tend to decrease.
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