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