Do one of the following as appropriate a Find the critical v

Do one of the following, as appropriate. (a) Find the critical value z Subscript alpha divided by 2,

(b) find the critical value t Subscript alpha divided by 2, (c) state that neither the normal nor the t distribution applies. Confidence level 90%; n = 17; sigma is unknown; population appears to be normally distributed.

Find the critical value.

A - z Subscript alpha divided by 2 = 1.28

B - t Subscript alpha divided by 2 = 1.337

C. z Subscript alpha divided by 2 Baseline = 1.645

D. t Subscript alpha divided by 2 Baseline equals 1.746

E. Neither normal nor t distribution applies.

Solution

As n = 17 (too small), and sigma is unknown, but the data appears to be normally distributed, we use the t distribution.

Using a table/technology, at 90% confidence, df = n - 1 = 16, then

t(alpha/2) = 1.746 [ANSWER, OPTION D]