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Question 1 A mail order firm claims that new procedures enable it to dispatch orders more quickly than previously. Records show that the previous average delay was 20 days. A random of 17 orders using the new procedure showed a delay time of 18 days with a sample standard deviation of 2.5 days. Is the claim made for the new procedures supported at the 5% level?

Question 1 A mail order firm claims that new procedures enable it to dispatch orders more quickly than previously. Records show that the previous average delay was 20 days. A random of 17 orders using the new procedure showed a delay time of 18 days with a sample standard deviation of 2.5 days. Is the claim made for the new procedures supported at the 5% level?

MATLAB: An Introduction with Applications
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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t/1/Tutoriais76206.par 1/ 1 100% Tutorials 6 This tutorial checks your understanding of testing hypothesis about the population mean when population standard deviation is known and unknown. Question 1 A mail order firm claims that new procedures enable it to dispatch orders more quickly than previously. Records show that the previous average delay was 20 days. A random of 17 orders using the new procedure showed a delay time of 18 days with a sample standard deviation of 2.5 days. Is the claim made for the new procedures supported at the 5% level? Question 2 In the lecture you tested the null hypothesis that college graduate students work longer than 40 hours per week on average. Now use gss.sav file and test the hypothesis that all full-time workers work for 40 hours per week on average (variable hrsl). a. What are the null and alternative hypotheses? b. Test the hypothesis and write a brief summary of your conclusions. c. Explain the difference between the standard deviation of your sample and the standard error of the mean. d. If your sample size were doubled, how would you expect the value of S.D to change? How would the value of the standard error of the mean change? Estimate both the S.D and the standard error for a sample twice as large. e. What is the 95% CI for the average number of hours per week by full-time workers? Give your conclusion on the hypothesis testing using the 95% CI. f. Based on the 95% CI for the mean difference, can you reject the null hypothesis that the average population value for hours worked is 43 hours? Explain. Question 3 cav [DataSet1] -.. "Output1 (Docume.. Output5.spv [Doc. Tutorials 6 - Google. W
Transcribed Image Text:t/1/Tutoriais76206.par 1/ 1 100% Tutorials 6 This tutorial checks your understanding of testing hypothesis about the population mean when population standard deviation is known and unknown. Question 1 A mail order firm claims that new procedures enable it to dispatch orders more quickly than previously. Records show that the previous average delay was 20 days. A random of 17 orders using the new procedure showed a delay time of 18 days with a sample standard deviation of 2.5 days. Is the claim made for the new procedures supported at the 5% level? Question 2 In the lecture you tested the null hypothesis that college graduate students work longer than 40 hours per week on average. Now use gss.sav file and test the hypothesis that all full-time workers work for 40 hours per week on average (variable hrsl). a. What are the null and alternative hypotheses? b. Test the hypothesis and write a brief summary of your conclusions. c. Explain the difference between the standard deviation of your sample and the standard error of the mean. d. If your sample size were doubled, how would you expect the value of S.D to change? How would the value of the standard error of the mean change? Estimate both the S.D and the standard error for a sample twice as large. e. What is the 95% CI for the average number of hours per week by full-time workers? Give your conclusion on the hypothesis testing using the 95% CI. f. Based on the 95% CI for the mean difference, can you reject the null hypothesis that the average population value for hours worked is 43 hours? Explain. Question 3 cav [DataSet1] -.. "Output1 (Docume.. Output5.spv [Doc. Tutorials 6 - Google. W
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