Data show that men between the ages of 20 and 29 in a general population have a

Question

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. BEE Click the icon to view the data table. Test the notion at the 0.01 level of significance. What are the correct hypotheses for this test? The null hypothesis is H Y 3.1 The alternative hypothesis is H 3.1

Explanation / Answer

The statistical software output for this problem is:

One sample variance hypothesis test:
2 : Variance of variable
H0 : = 3.1
HA : < 3.1

Hypothesis test results:

Hence,

The null hypothesis is H0 : = 3.1
The alternative hypothesis is HA : < 3.1

X2 = 8.507

P - value = 0.019

Since p - value is greater than the level of signficance, do not reject the null hypothesis. There is not sufficient evidence to conclude that the standard deviationf of the heights of major - league baseball players is less for major league baseball players.

Variable Sample Var. DF Chi-Square Stat P-value var7 4.3026316 19 8.5067638 0.0192

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