Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t Subscript alpha divided by 2, (b) find the critical value z Subscript alpha divided by 2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, sigma is not known, and the histogram of 58 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 answer box to complete your choice.
A.
t/alpha/2?
(Round to two decimal places as needed.)
B.
z/ alpha/2?
(Round to two decimal places as needed.)
C.
Neither the normal distribution nor the t distribution applies.
Solution:
The confidence level is 90%, sigma is not known, then we use t-distribution.
A)
sample size = n = 58
Degrees of freedom = df = n - 1 = 57
At 90% confidence level the t is ,
= 1 - 90% = 1 - 0.90 = 0.10
/ 2 = 0.10 / 2 = 0.05
t_{ /2,df} = t_{0.05,57} = 1.67
Assume that we want to construct a confidence interval. Do one of the following, as appropriate:...
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t Subscript alpha divided by 2tα/2, (b) find the critical value z Subscript alpha divided by 2zα/2, or (c) state that neither the normal distribution nor the t distribution applies.The confidence level is 90%, sigmaσ is not known, and the histogram of 57 player salaries (in thousands of dollars) of football players on a team is as shown.
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