Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed.) B. ta/2= (Round to two decimal places as needed.) C. Neither the normal nor the t distribution applies. A. Za/2

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2. Please answer the following probability question.
**Constructing a Confidence Interval for Vision in the Right Eye**

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.

**Key Information:**

- **Confidence Level:** 95%
- **Population Standard Deviation (\( \sigma \)):** Unknown
- **Sample Size:** 63 adult males

The histogram represents right-eye vision measurements from a random sample of these individuals. The frequencies of the vision measurements are shown on the vertical axis.

**Histogram Analysis:**

- The x-axis represents vision in the right eye, ranging from 0 to 200.
- The y-axis represents the frequency of each vision measurement.
- The data is concentrated heavily around the lower end of the spectrum, particularly near 0-50.
- A few measurements extend beyond 100, indicating some variability.

**Next Steps:**

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.

Choose the appropriate method based on the sample data and the information provided.
Transcribed Image Text:**Constructing a Confidence Interval for Vision in the Right Eye** 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. **Key Information:** - **Confidence Level:** 95% - **Population Standard Deviation (\( \sigma \)):** Unknown - **Sample Size:** 63 adult males The histogram represents right-eye vision measurements from a random sample of these individuals. The frequencies of the vision measurements are shown on the vertical axis. **Histogram Analysis:** - The x-axis represents vision in the right eye, ranging from 0 to 200. - The y-axis represents the frequency of each vision measurement. - The data is concentrated heavily around the lower end of the spectrum, particularly near 0-50. - A few measurements extend beyond 100, indicating some variability. **Next Steps:** 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. Choose the appropriate method based on the sample data and the information provided.
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