Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value to/2, (b) find the critical value Zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=212, x= 31.6 hg, s= 6.3 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= (Round to two decimal places as needed.) O B. a/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies.

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Chapter1: Starting With Matlab
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**Constructing a Confidence Interval for Newborn Weights**

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.

Here are summary statistics for randomly selected weights of newborn girls:
- Sample size (\( n \)): 212
- Sample mean (\( \bar{x} \)): 31.6 hg
- Sample standard deviation (\( s \)): 6.3 hg
- The confidence level is 95%.

-----

## Instructions:

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.
Transcribed Image Text:**Constructing a Confidence Interval for Newborn Weights** 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. Here are summary statistics for randomly selected weights of newborn girls: - Sample size (\( n \)): 212 - Sample mean (\( \bar{x} \)): 31.6 hg - Sample standard deviation (\( s \)): 6.3 hg - The confidence level is 95%. ----- ## Instructions: 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.
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