Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. TInterval (13.046,22.15) x= 17,598 Click the icon to view a t distribution table. Sx= 16.01712719 n= 50 a. What is the number of degrees of freedom that should be used for finding the critical value t/2? df = (Type a whole number.) b. Find the critical value t/2 corresponding to a 95% confidence level. ta/2 = (Round to two decimal places as needed.) c. Give a brief general description of the number of degrees of freedom. O A. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. O B. The number of degrees of freedom for a collection of sample data is the total number of sample values. OC. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values. O D. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.

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**Educational Text Transcription:**

Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below.

- Click the icon to view a t distribution table.

### a. What is the number of degrees of freedom that should be used for finding the critical value \( t_{\alpha/2} \)?

- **df = \[\_\]**  
  *(Type a whole number.)*

### b. Find the critical value \( t_{\alpha/2} \) corresponding to a 95% confidence level.

- **\( t_{\alpha/2} = \[\_\]**  
  *(Round to two decimal places as needed.)*

### c. Give a brief general description of the number of degrees of freedom.

- **Options:**

  - **A.** The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values.

  - **B.** The number of degrees of freedom for a collection of sample data is the total number of sample values.

  - **C.** The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.

  - **D.** The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.


### Data Summary:

- **TInterval:** (13.046, 22.15)
- **\(\bar{x}\) (mean):** 17.598
- **\(Sx\) (standard deviation):** 16.01712719
- **n (sample size):** 50

This educational content is designed to provide learners with an understanding of how to determine the degrees of freedom for statistical testing and to find critical t-values for confidence intervals.
Transcribed Image Text:**Educational Text Transcription:** Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. - Click the icon to view a t distribution table. ### a. What is the number of degrees of freedom that should be used for finding the critical value \( t_{\alpha/2} \)? - **df = \[\_\]** *(Type a whole number.)* ### b. Find the critical value \( t_{\alpha/2} \) corresponding to a 95% confidence level. - **\( t_{\alpha/2} = \[\_\]** *(Round to two decimal places as needed.)* ### c. Give a brief general description of the number of degrees of freedom. - **Options:** - **A.** The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. - **B.** The number of degrees of freedom for a collection of sample data is the total number of sample values. - **C.** The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values. - **D.** The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values. ### Data Summary: - **TInterval:** (13.046, 22.15) - **\(\bar{x}\) (mean):** 17.598 - **\(Sx\) (standard deviation):** 16.01712719 - **n (sample size):** 50 This educational content is designed to provide learners with an understanding of how to determine the degrees of freedom for statistical testing and to find critical t-values for confidence intervals.
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