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 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Click the icon to view the data table. Test the nation at the alpha = 0.10 level of significance. What are the correct hypotheses for this test? The null hypothesis is H_0: sigma = 2.6. The alternative hypothesis is H_1: sigma

Explanation / Answer

The null and alternate hypothesis is correct.

I consider value of chi square is correct, as data is not available to compute the value.

The p-value calculated is incorrect.

p-value = 0.153. The value which is calculated i.e. 0.847 is for right tailed whereas the above test is left tailed. Hence p-value = 1 - 0.847 = 0.153

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