1.

(Please round all your results to 3 decimal places.) We have collected a sample of size n = 6. We assume that the sample observations are i.i.d. draws from a Normal distribution. The sample is 898986 [Hint: you may want to use the table below to help you] Ci (xi - x) (xi -2)2 8.000 9.000 8.000 9.000 8.000 6.000 1. (2 points) Compute the sample mean. 2. (2 points) Compute the sample standard deviation. 3. (3 points) Compute an exact 90% confidence interval for M. 4. (3 points) Conduct the following hypothesis test Ho: Ml = 7 H1:1 / 7 at a significance level a = 0.05