Assume that the weight of cereal in a 12.6- ounce box is N(, 0.22). The Food and Drug

Chapter 8, Problem 8.1-2

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QUESTION:

Assume that the weight of cereal in a 12.6- ounce box is N(, 0.22). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces. We shall test the null hypothesis H0: = 13 against the alternative hypothesis H1: < 13. (a) Use a random sample of n = 25 to define the test statistic and the critical region that has a significance level of = 0.025. (b) If x = 12.9, what is your conclusion? (c) What is the p-value of this test?

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QUESTION:

Assume that the weight of cereal in a 12.6- ounce box is N(, 0.22). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces. We shall test the null hypothesis H0: = 13 against the alternative hypothesis H1: < 13. (a) Use a random sample of n = 25 to define the test statistic and the critical region that has a significance level of = 0.025. (b) If x = 12.9, what is your conclusion? (c) What is the p-value of this test?

ANSWER:

Step 1 of 4

Given data

The null hypothesis:

Alternative hypothesis:

Number of samples:

Significance level:

Standard deviation:

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