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. LOADING... Click the icon to view the data table. Question content area bottom Part 1 Test the notion at the α=0.10 level of significance. What are the correct hypotheses for this test? The null hypothesis is H0: ▼ sigmaσ pp muμ ▼ not equals≠ equals= less than< greater than> 3.1. The alternative hypothesis is H1: ▼ sigmaσ muμ pp ▼ not equals≠ greater than> less than< equals= 3.1. Part 2 Calculate the value of the test statistic. χ2 =enter your response here (Round to three decimal places as needed.) Part 3 Use technology to determine the P-value for the test statistic. The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 What is the correct conclusion at the α=0.10 level of significance? Since the P-value is ▼ greater less than the level of significance, ▼ do not reject 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 3.1 inches at the 0.10 level of significance. data table: 72 74 71 71 76 70 77 76 72 72 77 73 75 70 73 74 75 73 74 74
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.
LOADING... Click the icon to view the data table.
Question content area bottom
Part 1
Test the notion at the α=0.10 level of significance.
What are the correct hypotheses for this test?
The null hypothesis is H0:
▼
sigmaσ
pp
muμ
▼
not equals≠
equals=
less than<
greater than>
3.1.
The alternative hypothesis is H1:
▼
sigmaσ
muμ
pp
▼
not equals≠
greater than>
less than<
equals=
3.1.
Part 2
Calculate the value of the test statistic.
χ2 =enter your response here (Round to three decimal places as needed.)
Part 3
Use technology to determine the P-value for the test statistic.
The P-value is enter your response here.
(Round to three decimal places as needed.)
Part 4
What is the correct conclusion at the α=0.10 level of significance?
Since the P-value is
▼
greater
less
than the level of significance,
▼
do not reject
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 3.1 inches at the 0.10 level of significance.
data table:
72
74
71
71
76
70
77
76
72
72
77
73
75
70
73
74
75
73
74
74
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