When 50 people used a certain diet for one year, their weight losses had a standard deviation of 5.4lb. Use a 0.05 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.0 lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? H0: H1: Calculate the value of the test statistic. (Round to two decimal places as needed.)
When 50 people used a certain diet for one year, their weight losses had a standard deviation of 5.4lb. Use a 0.05 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.0 lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? H0: H1: Calculate the value of the test statistic. (Round to two decimal places as needed.)
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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When 50 people used a certain diet for one year, their weight losses had a standard deviation of 5.4lb. Use a 0.05 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.0
lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from anormally distributed population. What are the correct hypotheses for this test?
lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a
H0:
H1:
Calculate the value of the test statistic.
(Round to two decimal places as needed.)
Use technology to determine the P-value for the test statistic.
The P-value is
(Round to three decimal places as needed.)
What is the conclusion at the 0.05 level of significance?
Since the P-value is ......(greater than/less than/equal to)
the level of significance,......(do not reject/ reject) the null hypothesis. There
the level of significance,......(do not reject/ reject) the null hypothesis. There
....(is/ is not) sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to....(6.0/ 5.4)lb.
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