TInterva Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. E Click the icon to view at distribution table. (13.046,22.15) x= 17.598 Sx = 16.01712719 n= 50 a. What is the number of degrees of freedom that should be used for finding the critical value t2? df =O (Type a whole number.) b. Find the critical value t/2 corresponding to a 95% confidence level. (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 unique, non-repeated sample values. O B. 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 C. The number of degrees of freedom for a collection of sample data is the total number of sample values. O D. The number 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.

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

[Icon] 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.**

- ○ A. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.
- ● B. 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.
- ○ C. The number of degrees of freedom for a collection of sample data is the total number of sample values.
- ○ D. 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.

---

**TInterval**  
(13.046, 22.15)  
\( \bar{x} = 17.598 \)  
\( S_x = 16.01712719 \)  
\( n = 50 \) 

---

The display contains statistical information about a sample of airport data speeds, including:

- The confidence interval is from 13.046 to 22.15.
- The sample mean (\( \bar{x} \)) is 17.598 Mbps.
- The sample standard deviation (\( S_x \)) is 16.01712719.
- The sample size (\( n \)) is 50. 

Note: The degrees of freedom for a t-distribution are typically calculated as \( n - 1 \).
Transcribed Image Text:Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. [Icon] 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.** - ○ A. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values. - ● B. 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. - ○ C. The number of degrees of freedom for a collection of sample data is the total number of sample values. - ○ D. 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. --- **TInterval** (13.046, 22.15) \( \bar{x} = 17.598 \) \( S_x = 16.01712719 \) \( n = 50 \) --- The display contains statistical information about a sample of airport data speeds, including: - The confidence interval is from 13.046 to 22.15. - The sample mean (\( \bar{x} \)) is 17.598 Mbps. - The sample standard deviation (\( S_x \)) is 16.01712719. - The sample size (\( n \)) is 50. Note: The degrees of freedom for a t-distribution are typically calculated as \( n - 1 \).
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