Calculate the value of the test statistic.   Find the P-value.   Reject or Fail to Reject?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Calculate the value of the test statistic.
 
Find the P-value.
 
Reject or Fail to Reject?
Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.1 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.1 inches. The heights (in inches) of 20 randomly selected players are shown in the table.

Test the notion at the α = 0.05 level of significance.

The null hypothesis is H₀: σ = 3.1.

The alternative hypothesis is H₁: σ < 3.1.

Calculate the value of the test statistic.

χ² = ☐ (Round to three decimal places as needed.)
Transcribed Image Text:Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 3.1 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 3.1 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Test the notion at the α = 0.05 level of significance. The null hypothesis is H₀: σ = 3.1. The alternative hypothesis is H₁: σ < 3.1. Calculate the value of the test statistic. χ² = ☐ (Round to three decimal places as needed.)
The image displays a 4x5 grid of numbers. Here is a transcription of the numbers as they appear in the grid:

```
72 74 71 71 76
70 77 76 72 72
77 71 75 70 73
74 75 73 74 73
```

This grid could represent various educational data sets, such as student scores, temperature readings, or other numerical data, and might be useful for exercises in data analysis, statistical interpretation, or pattern recognition. In an educational context, students might be asked to calculate averages, find the range of values, or explore trends within this numerical data set.
Transcribed Image Text:The image displays a 4x5 grid of numbers. Here is a transcription of the numbers as they appear in the grid: ``` 72 74 71 71 76 70 77 76 72 72 77 71 75 70 73 74 75 73 74 73 ``` This grid could represent various educational data sets, such as student scores, temperature readings, or other numerical data, and might be useful for exercises in data analysis, statistical interpretation, or pattern recognition. In an educational context, students might be asked to calculate averages, find the range of values, or explore trends within this numerical data set.
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