**Hypothesis Test for Standard Deviation:**When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8 lb. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 5.5 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?**- $ H_0: \sigma = $ [select] lb- $ H_1: \sigma \neq $ [select] lb**Calculate the value of the test statistic.**[Input box for rounded value to two decimal places]**Use technology to determine the P-value for the test statistic.**The P-value is [input box for rounded value to three decimal places].**What is the conclusion at the 0.10 level of significance?**Since the P-value is [select] the level of significance, [select] the null hypothesis. There [select] sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to [select] lb.

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From the provided information, Sample size (n) = 45 Sample standard deviation (s) = 4.8The hypotheses can be constructed as: H0: σ = 5.5 H1: σ < 5.5 The degree of freedom = n – 1 = 45 – 1 = 44 Level of significance (α) = 0.10 The value of the test statistic can be obtained as:The p value of the test statistic at 44 degree of freedom from the chi square table is 0.125. Since the p value is greater than level of significance, therefore the null hypothesis would fail to reject and it can be concluded that there is insufficient evidence to conclude that the sample is from a population with a standard deviation not equal to 5.5 lb.

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When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8 Ib. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 5.5 Ib, 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? H: o Ib H;: o Ib Calculate the value of the test statistic. O (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 0.10 level of significance? v the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to Since the P-value is V Ib

When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8 Ib. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 5.5 Ib, 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? H: o Ib H;: o Ib Calculate the value of the test statistic. O (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 0.10 level of significance? v the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to Since the P-value is V Ib

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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