A survey of 39 people was conducted to compare their self-reported height to their actual height. Thedifference between reported height and actual height was calculated. Difference = Reported - Actual.From the sample of differences, the mean was 1.35, with a standard deviation of 0.58.a. Use the given information to estimate a 95% confidence intferval for the mean difference.Enter your answer as a tri-linear inequality accurate to 2 decimal places (because the samplestatistics are reported accurate to 2 decimal places).b. Use the above confidence interval and explain whether it is plausible that the true meandifference is 1.3.Since Select an answer the confidence interval, it Select an answer plausible that the true meandifference is 1.3.c. Test the claim that the true mean difference is 1.3 at 0.05 significance level.F3Calculate and provide the p-value to test the above claim, rounded to 4 decimal places.d. Do your conclusion based on p-value and conclusion based on confidence interval match?Yes both conlude it is NOT plausible that the true mean difference is 1.3.O No two methods give different conclusions.Yes both conlude it is plausible that the true mean difference is 1.3.Submit QuestionEIεμε11F4DF5F6XDELLF7F9P

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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 running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The running coach collects mean mile times for 42 runners who participate in weekly running clubs with 54 runners who do not run in clubs. The running coach measures times in January and June of the same year. All times are in seconds, and the runners all started with mile times between 8 minutes (480 seconds) and 9 minutes (540 seconds). Here are the results: (table) The running coach investigates if runners in a running club improve times more than runners not in a club. The running coach conducts a hypothesis test for the difference in sample mean change (“Running Club” minus “Not in a Club”). Here are the results: T-value = 2.7027, p-value = 0.0043, DF = 74 95% Confidence Interval (0.5254, 3.4746) Which of the following can the running coach conclude? Runners who participate in running clubs have a statistically significant change in running times when compared…
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The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.10, can you conclude that at least one mean vacuum cleaner weight is different from the others? E Click the icon to view the vacuum cleaner weight data. Let PBu, PBLU. and HTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? O A. Ho: Peu = HBLU "HTC Ha: HBu * HBLU HTC Weight of Vacuum Cleaners by Type B. Ho: At least one of the means is different. Hg: PBu = HBLU =HTC O C. Ho: HBU PBLU HTC Bagged upright 21 20 18 15 23 24 16 24 Bagless upright Top canister 17 18 20 18 Hg: HBu = HBLU =HTC 23 22 24 26 20 23 O D. Ho: HBU HBLU FHTC Ha: At least one of the means is different. What is the test statistic? Print Done F= (Round to two decimal places as needed.) What is the P-value? P-value = (Round to three decimal places as needed.) What is the…
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