SOLUTION: Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value tα/2​, ​(b) find the critical value zα/2​

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Question 1182684: Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value tα/2​, ​(b) find the critical value zα/2​, or​ (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 90​%, σ = 3952 thousand​ dollars, and the histogram of 53 player salaries​ (in thousands of​ dollars) of football players on a team is as shown.
Select the correct choice below​ and, if​ necessary, fill in the blank to complete your choice.
A. tα/2 ​= __
(Round to two decimal places as​ needed.)
B. zα/2 = __
​(Round to two decimal places as​ needed.)
C. Neither the normal distribution nor the t distribution applies.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
because sigma is given, use a z-test, and z (0.95)=1.645. I am assuming this based on not seeing the histogram. Should the histogram show a great deal of skewness, especially regarding salaries, the normality assumption may not be valid.
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