simple random sample of 9 cereal brands resulted in a 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.] a. Clearly identify and state the null hypothesis H0 and the alternative hypothesis H1. b. 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).] c. Do you reject or fail to reject the null hypothesis? Justify your answer. d. Using Figure 8-5 on p. 366, clearly state your final conclusion.
A simple random sample of 9 cereal brands resulted in a 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.]
a. Clearly identify and state the null hypothesis H0 and the alternative hypothesis H1.
b. 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).]
c. Do you reject or fail to reject the null hypothesis? Justify your answer.
d. Using Figure 8-5 on p. 366, clearly state your final conclusion.
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