MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

Find Test Statistic, P value, and Z score.

**Hypothesis Testing for Standard Deviation in Baseball Player Heights**

Data indicate that men aged 20 to 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.2 inches. A baseball analyst is investigating if the standard deviation of heights for major-league baseball players is less than 3.2 inches. Heights (in inches) of 20 randomly selected players are provided.

**Objective:**
Test the hypothesis at a 0.01 level of significance.

**Hypotheses:**

- Null Hypothesis (H₀): σ = 3.2
- Alternative Hypothesis (H₁): σ < 3.2

**Data Table:**

The heights of the 20 sampled players are as follows:

| 72 | 74 | 71 | 71 | 76 |
|----|----|----|----|----|
| 70 | 77 | 76 | 72 | 72 |
| 77 | 71 | 75 | 70 | 73 |
| 74 | 75 | 73 | 74 | 74 |

**Task:**
Calculate the value of the test statistic:

\[ \chi^2 = \text{(Round to three decimal places as needed.)} \]
expand button
Transcribed Image Text:**Hypothesis Testing for Standard Deviation in Baseball Player Heights** Data indicate that men aged 20 to 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.2 inches. A baseball analyst is investigating if the standard deviation of heights for major-league baseball players is less than 3.2 inches. Heights (in inches) of 20 randomly selected players are provided. **Objective:** Test the hypothesis at a 0.01 level of significance. **Hypotheses:** - Null Hypothesis (H₀): σ = 3.2 - Alternative Hypothesis (H₁): σ < 3.2 **Data Table:** The heights of the 20 sampled players are as follows: | 72 | 74 | 71 | 71 | 76 | |----|----|----|----|----| | 70 | 77 | 76 | 72 | 72 | | 77 | 71 | 75 | 70 | 73 | | 74 | 75 | 73 | 74 | 74 | **Task:** Calculate the value of the test statistic: \[ \chi^2 = \text{(Round to three decimal places as needed.)} \]
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman