Question

# Part A. In the past it has been found that the arrival time have a population...

Part A. In the past it has been found that the arrival time have a population mean value of μ = 13 and a population standard deviation of σ = 6.26. Using the given data, test whether this mean has changed. Use the critical value approach to test the hypothesis. The significance level alpha is set at 0.05 . The original data of time taken is given below. Show the process by using excel (Formulas).

Part B. Test the hypothesis of Part A with p value approach. Show the calculation steps by Excel.

 7 21 23 24 18 16 2 19 11 6 3 13 17 9 5 12 13 17 4 14 15 25 12 24 22 14 14 20 15 11 26 17 21 11 4 13 16 14 13 14 25 23 9 15 14 12 19 11 18 9 12 13 17 6 19 17 13 23 16 17 11 15 11 23 8 16 10 26 19 16 23 15 20 30 21 21 14 1 13 14 21 3 26 18 6 17 18 15 10 14 9 17 10 16 13 9 14 6 19 4 8 4 7 8 2 21 6 14 20 7 18 11

First we need to find the sample mean. Using excel formula "=average()" the mean of the sample is

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