MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Educational Website Transcription**

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

**Data Summary:**
- **TInterval:** \( (13.046, 22.15) \)
- **Sample Mean (\( x̄ \)):** 17.598
- **Sample Standard Deviation (\( Sx \)):** 16.01712719
- **Sample Size (\( n \)):** 50

**Tasks:**

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 total number of sample values.
  - **B.** 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.
  - **C.** 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.
  - **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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Transcribed Image Text:**Educational Website Transcription** Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. **Data Summary:** - **TInterval:** \( (13.046, 22.15) \) - **Sample Mean (\( x̄ \)):** 17.598 - **Sample Standard Deviation (\( Sx \)):** 16.01712719 - **Sample Size (\( n \)):** 50 **Tasks:** 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 total number of sample values. - **B.** 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. - **C.** 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. - **D.** The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.
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.

The confidence level is 99%, \( \sigma = 4095 \) thousand dollars, and the histogram of 64 player salaries (in thousands of dollars) of football players on a team is as shown.

### Graph Description:
The histogram represents the frequency of player salaries in thousands of dollars. It exhibits a right-skewed distribution, with most of the salaries clustered between 0 and 4000 thousand dollars.

#### Histogram Details:
- X-axis: Salary (thousands of dollars)
- Y-axis: Frequency
- The first bar, representing salaries from 0 to 4000 thousand dollars, is the tallest, indicating the highest frequency.

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

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

- \( \bigcirc \) B. \( z_{\alpha/2} \) = \_\_\_
  (Round to two decimal places as needed.)

- \( \bigcirc \) C. Neither the normal distribution nor the t distribution applies.
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Transcribed Image Text: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. The confidence level is 99%, \( \sigma = 4095 \) thousand dollars, and the histogram of 64 player salaries (in thousands of dollars) of football players on a team is as shown. ### Graph Description: The histogram represents the frequency of player salaries in thousands of dollars. It exhibits a right-skewed distribution, with most of the salaries clustered between 0 and 4000 thousand dollars. #### Histogram Details: - X-axis: Salary (thousands of dollars) - Y-axis: Frequency - The first bar, representing salaries from 0 to 4000 thousand dollars, is the tallest, indicating the highest frequency. ### Selection Choices: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - \( \bigcirc \) A. \( t_{\alpha/2} \) = \_\_\_ (Round to two decimal places as needed.) - \( \bigcirc \) B. \( z_{\alpha/2} \) = \_\_\_ (Round to two decimal places as needed.) - \( \bigcirc \) C. Neither the normal distribution nor the t distribution applies.
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