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To construct a confidence interval using the given confidence​ level, do whichever of the following is appropriate.​ (a) Find the critical value z_alpha/2
​, 
​(b) find the critical value t_alpha/2​, or​ (c) state that neither the normal nor the t distribution applies.

choose the correct answer below.

a. z_alpha/2 = 1.96
b. t_alpha/2 = 1.660
c. t_alpha/2 = 1.984
d. z_alpha/2 = 1.645
e. Neither the normal nor the t distribution applies. 

The population standard deviation is known; and the sample size (100) is greater than 30. Which means the distribution of the sample values is approximately normal even if the population is skewed. 

 

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