The observations on escape time given in Exercise36 of Chapter 1 give a sample mean and

Chapter 7, Problem 36

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The observations on escape time given in Exercise36 of Chapter 1 give a sample mean and sample standarddeviation of 370.69 and 24.36, respectively.a. Calculate an upper confidence bound for populationmean escape time using a confidence level of 95%.b. Calculate an upper prediction bound for the escape timeof a single additional worker using a prediction level of95%. How does this bound compare with the confidencebound of part (a)?c. Suppose that two additional workers will be chosen toparticipate in the simulated escape exercise. Denote theirescape times by X27 and X28, and let denote the averageof these two values. Modify the formula for a PI fora single x value to obtain a PI for , and calculate a95% two-sided interval based on the given escape data.

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