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Problem 1: PART I. HYPOTHESIS TESTING

Conduct a one-tailed hypothesis test given the information below.

A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix had a mean of 217.222 and a standard deviation of 1.2019. At the 0.025 significance level, what is the critical value? State the null and alternative hypothesis. Draw a diagram. Provide the computation of the test statistic. State your decision in terms of the null hypothesis.

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