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In: Statistics and Probability

To investigate an alleged unfair trade practice, the Federal Trade Commission (FTC) takes a random sample...

To investigate an alleged unfair trade practice, the Federal Trade Commission (FTC) takes a random sample of sixteen “5- ounce” candy bars from a large shipment. The mean of the sample weights is 4.85 ounces and the sample standard deviation is 0.1 ounce. It is reasonable to assume the population of candy bar weights is approximately Normally distributed. Based on this sample, does the FTC have grounds to proceed against the manufacturer for the unfair practice of short-weight selling, on average? Answer this question by completing the following steps of a hypothesis test at the 5% significance level.

a. State the null and alternative hypotheses.

b. Using MINITAB, obtain the value of the test statistic.

c. Using MINITAB, obtain the p-value

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