. Let X1, X2, . . . , X81 be a random sample from an unknown distribution. After observing this sample, the sample mean and sample variance are calculated to be X = 8.25, S2 = 14.6 Design a test with significance level a = acceptance region and draw your conclusion accordingly. (b) Find a confidence interval for u at confidence level (1 -a). Is 9 included in this interval and how is it related to our conclusion about 005 to decide between HO : u = 9 Ha : u 6= 9 (a) Find the the test?

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