Assume that we want to construct a confidence interval. Do one of the following, as appropriate. (a) Find the critical value Zα/2, (b) find the critical value to/2, or (c) state that neither the normal nor the t distribution applies. Confidence level is 90%, o = 22.2, and the histogram of right-eye vision measurements from a random sample of 63 adult males is shown to the right. Frequency Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. Za/2= (Round to two decimal places as needed.) OB. ta/2= (Round to two decimal places as needed.) OC. Neither the normal nor the t distribution applies.

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4. Please answer the following probability question.
Assume that we want to construct a confidence interval. Do one of the following, as 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.

Confidence level is 90%, \( \sigma = 22.2 \), and the histogram of right-eye vision measurements from a random sample of 63 adult males is shown to the right.

**Histogram Description:**

The histogram depicts the frequency distribution of right-eye vision measurements. The data range is from 0 to over 200, with the highest frequencies occurring between 0 and 50. Specifically:

- The highest bar indicates a frequency of approximately 45 within the range of 0-50.
- The next bar, representing 50-100, shows a frequency around 20.
- Frequencies drop significantly for vision measurements above 100.

**Choices:**

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

- **A.** \( z_{\alpha/2} = \) [ ] (Round to two decimal places as needed.)
- **B.** \( t_{\alpha/2} = \) [ ] (Round to two decimal places as needed.)
- **C.** Neither the normal 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 \( z_{\alpha/2} \), (b) find the critical value \( t_{\alpha/2} \), or (c) state that neither the normal nor the t distribution applies. Confidence level is 90%, \( \sigma = 22.2 \), and the histogram of right-eye vision measurements from a random sample of 63 adult males is shown to the right. **Histogram Description:** The histogram depicts the frequency distribution of right-eye vision measurements. The data range is from 0 to over 200, with the highest frequencies occurring between 0 and 50. Specifically: - The highest bar indicates a frequency of approximately 45 within the range of 0-50. - The next bar, representing 50-100, shows a frequency around 20. - Frequencies drop significantly for vision measurements above 100. **Choices:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - **A.** \( z_{\alpha/2} = \) [ ] (Round to two decimal places as needed.) - **B.** \( t_{\alpha/2} = \) [ ] (Round to two decimal places as needed.) - **C.** Neither the normal nor the t distribution applies.
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