Question: I use the Gretl. tool get the correct answer which is 7.765 and 2.515. But I'm not sure the exactly way to solve it. So

I use the Gretl. tool get the correct answer which is 7.765 and 2.515. But I'm not sure the exactly way to solve it. So please give the solution of the question below.

The following observations of a random variable have been recorded: 3.2, 9.4, 6.4, 2.9 and 3.8. Compute a 90% confidence interval for the expected value of the random variable.

(a) Enter the value of the upper bound of the confidence interval in the box below (rounded to 3 decimal places)

(b) Enter the value of the lower bound of the confidence interval in the box below (rounded to 3 decimal places)

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