Do one of the following, as appropriate. (a) Find the critical value z_alpha/2,

Question

Do one of the following, as appropriate. (a) Find the critical value z_alpha/2, (b) find the critical value t_alpha/2, (c) state that neither the normal nor the t distribution applies Confidence level 90%; n = 19; sigma is unknown; population appears to be normally distributed. Click here to view a table of critical t-values. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. Find the critical value A. t_alpha/2 = 1, 734 B. z_alpha/2 = 1.28 C. z_alpha/2 = 1.645 D. t_alpha/2 = 1.330 E. Neither normal nor t distribution applies.

Explanation / Answer

Here sigma is unknown and n=19

We used t-test when sample size is less than 30 and population standard deviation is unkown.

Therefore using t- table we get critical value with 18 degrees of freedom is,

t(alpha/2) = 1.734

Thus, answer is A.

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