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

Question:

Assume that the weight of cereal in a “12.6- ounce box” is N(μ, 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: μ = 13 against the alternative hypothesis H1: μ < 13.
(a) Use a random sample of n = 25 to define the test statistic and the critical region that has a significance level of α = 0.025.
(b) If = 12.9, what is your conclusion?
(c) What is the p-value of this test?