A simple random sample of 9 cereal brands resulted in mean sugar content (in grams of sugar per gram of cereal) of 0.30 grams with a standard deviation of 0.12 grams. Use a 0.05 significance level to test a claim that the mean sugar content of all cereals is less than 0.40 grams? [Note: The population standard deviation is unknown.] Clearly identify and state the null hypothesis H0 and the alternative hypothesis H1. Determine the critical value(s) and the value of the appropriate test statistic (to nearest 0.001). [Note: Table A-3 might be helpful for critical value(s).] Do you reject or fail to reject the null hypothesis? Justify your answer. Using Figure 8-5 on p. 366, clearly state your final conclusion.

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Description: A simple random sample of 9 cereal brands resulted in mean sugar content (in grams of sugar per gram of cereal) of 0.30 grams with a standard deviation of 0.12 grams. Use a 0.05 significance level to test a claim that the mean sugar content of all ce

Given: x¯=0.30s=0.12n=9μ=0.40 Hypothesis: Null hypothesis: H0: μ=0.40Alternative hypothesis: H1:…

Answered: A simple random sample of 9 cereal…

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 simple random sample of 9 cereal brands resulted in mean sugar content (in grams of sugar per gram of cereal) of 0.30 grams with a standard deviation of 0.12 grams. Use a 0.05 significance level to test a claim that the mean sugar content of all cereals is less than 0.40 grams? [Note: The population standard deviation is unknown.]

Clearly identify and state the null hypothesis H₀ and the alternative hypothesis H₁.

Determine the critical value(s) and the value of the appropriate test statistic (to nearest 0.001). [Note: Table A-3 might be helpful for critical value(s).]

Do you reject or fail to reject the null hypothesis? Justify your answer.

Using Figure 8-5 on p. 366, clearly state your final conclusion.

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