Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. We would like to test Ho : µ = µo versus H1 : µ # µo- Now suppose that n = 16, the observed sample mean i is 8.9. the observed sample variance sº is 25 and 4o = 10.5. What is the (appropriate) observed test statistic for testing Ho : u = 4o versus H1 : µ # Ho? Give answer to three decimal places. Suppose we next want to compute a 95% confidence interval for µ. What is the lower endpoint of this 95% confidence interval? Give answer to three decimal places. What is the upper endpoint of this 95% confidence interval? Give answer to three decimal places.

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