Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,/2, (b) find the critical value z,12, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 99%, a is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10 4000 8000 1200g 1edon Salary (thousands of dollars) 16000 20000 Select the corect choice below and, if necessary, fill in the answer box to complete your choice. OA 4/2- (Round to two decimal places as needed.) OB.

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Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \); (b) find the critical value \( z_{\alpha/2} \); or (c) state that neither the normal distribution nor the t distribution applies.

The confidence level is 99%, \(\sigma\) is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown.

**Histogram Description:**
The histogram displays the frequency of player salaries categorized into bins. Most salaries are clustered in the lower range, with the largest frequency occurring in the $4000 to $6000 range. The distribution is right-skewed, with fewer players earning higher salaries above $6000, up to $20000.

**Select the correct choice below and, if necessary, fill in the answer box to complete your choice:**

- \( \circ \) A. \( t_{\alpha/2} = \) _______  
  (Round to two decimal places as needed.)

- \( \circ \) B. \( z_{\alpha/2} = \) _______  
  (Round to two decimal places as needed.)

- \( \circ \) C. Neither the normal distribution nor the t distribution applies.
Transcribed Image Text:Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \); (b) find the critical value \( z_{\alpha/2} \); or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 99%, \(\sigma\) is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown. **Histogram Description:** The histogram displays the frequency of player salaries categorized into bins. Most salaries are clustered in the lower range, with the largest frequency occurring in the $4000 to $6000 range. The distribution is right-skewed, with fewer players earning higher salaries above $6000, up to $20000. **Select the correct choice below and, if necessary, fill in the answer box to complete your choice:** - \( \circ \) A. \( t_{\alpha/2} = \) _______ (Round to two decimal places as needed.) - \( \circ \) B. \( z_{\alpha/2} = \) _______ (Round to two decimal places as needed.) - \( \circ \) C. Neither the normal distribution nor the t distribution applies.
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