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 2.4 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.4 inches. The heights (in inches) of 20 randomly selected players are shown in the table.
72, 74, 71, 73, 76,
70, 77, 76, 72, 72,
77, 72, 75, 70, 73,
74, 75, 73, 74, 74,
Test the notion at the α=0.01 level of significance.
Calculate the value of the test statistic.
X^2 =?
Use technology to determine the P-value for the test statistic.
What is the correct conclusion at the α=0.01 level of significance?
Since the P-value is (greater/less) than the level of significance, (reject/do not reject) the null hypothesis.
There (is not/is) sufficient evidence to conclude that the standard deviation of heights of major-league baseball players is less than 2.4 inches at the 0.01 level of significance.