The human resources director of a large company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled 25 male executives and 25 female executives. Of particular interest to the HR director is whether males have greater variability in miles flown than females. The statistics available below were computed from the samples. Based on these​ data, what should the HR director conclude if an alpha level equal to 0.01 is​ used? LOADING... Click the icon to view the statistics about the number of miles flown. Males Females Mean Miles 73,262   66,888   St. Deviation Miles 2,568   1,539   Sample Size 25   25   Let sample 1 be males and sample 2 be females. What are the null and alternative​ hypotheses?     A. H0: σ21=σ22 HA: σ21≠σ22   B. H0: σ21≤σ22 HA: σ21>σ22   C. H0: σ21≥σ22 HA: σ21<σ22   D. H0: σ21≠σ22 HA: σ21=σ22 Determine the test statistic.   F=nothing ​(Round to two decimal places as​ needed.) Determine the critical value.   The critical​ F-value is nothing. ​(Round to two decimal places as​ needed.) ▼   Do not reject Reject the null hypothesis. There is ▼   insufficient sufficient evidence to conclude that males have greater variability in miles flown than females.

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The human resources director of a large company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled
25
male executives and
25
female executives. Of particular interest to the HR director is whether males have greater variability in miles flown than females. The statistics available below were computed from the samples. Based on these​ data, what should the HR director conclude if an alpha level equal to
0.01
is​ used?
LOADING...
Click the icon to view the statistics about the number of miles flown.
Males
Females
Mean Miles
73,262
 
66,888
 
St. Deviation Miles
2,568
 
1,539
 
Sample Size
25
 
25
 
Let sample 1 be males and sample 2 be females. What are the null and alternative​ hypotheses?
 
 
A.
H0: σ21=σ22
HA: σ21≠σ22
 
B.
H0: σ21≤σ22
HA: σ21>σ22
 
C.
H0: σ21≥σ22
HA: σ21<σ22
 
D.
H0: σ21≠σ22
HA: σ21=σ22
Determine the test statistic.
 
F=nothing
​(Round to two decimal places as​ needed.)
Determine the critical value.
 
The critical​ F-value is
nothing.
​(Round to two decimal places as​ needed.)
 
Do not reject
Reject
the null hypothesis. There is
 
insufficient
sufficient
evidence to conclude that males have greater variability in miles flown than females.
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