Historically, the average time it takes Jessica to swim the 200 meter butterfly is 148.4 seconds. Jessica would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 seconds with a standard deviation of 2.3 seconds. Perform the appropriate test of hypothesis to determine whether Jessica’s average time has changed. Use an α=0.01 level of significance. Include the following (Show your working): 1. State the null and alternative hypotheses. 2. Calculate the relevant test statistic. 3. Can we reject the null hypothesis? Justify the answer.
Historically, the average time it takes Jessica to swim the 200 meter butterfly is 148.4 seconds. Jessica would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 seconds with a standard deviation of 2.3 seconds. Perform the appropriate test of hypothesis to determine whether Jessica’s average time has changed. Use an α=0.01 level of significance. Include the following (Show your working): 1. State the null and alternative hypotheses. 2. Calculate the relevant test statistic. 3. Can we reject the null hypothesis? Justify the answer.
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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Historically, the average time it takes Jessica to swim the 200 meter butterfly is 148.4 seconds. Jessica would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 seconds with a standard deviation of 2.3 seconds. Perform the appropriate test of hypothesis to determine whether Jessica’s average time has changed. Use an α=0.01
level of significance.
Include the following (Show your working):
1. State the null and alternative hypotheses.
2. Calculate the relevant test statistic.
3. Can we reject the null hypothesis? Justify the answer.
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