Sex Weight M 74 M 86 M 69 M 74 F 63 M 55 F 60 F 53 F 68 F 56 F 47 M 69 M 66 F 55
ID: 3055935 • Letter: S
Question
Sex
Weight
M
74
M
86
M
69
M
74
F
63
M
55
F
60
F
53
F
68
F
56
F
47
M
69
M
66
F
55
F
48
F
60
F
52
M
72
F
58
M
67
F
63
F
50
M
68
F
69
M
88
M
82
M
70
F
53
M
71
F
64
F
49
M
69
M
69
F
56
M
67
M
66
F
59
F
65
F
56
F
64
M
56
M
75
M
79
F
66
F
54
F
68
F
68
F
56
F
65
F
58
M
77
M
78
M
68
M
68
F
62
F
68
F
64
M
69
M
71
F
57
M
77
F
60
M
71
M
74
F
63
M
82
M
71
Sex
Weight
M
74
M
86
M
69
M
74
F
63
M
55
F
60
F
53
F
68
F
56
F
47
M
69
M
66
F
55
F
48
F
60
F
52
M
72
F
58
M
67
F
63
F
50
M
68
F
69
M
88
M
82
M
70
F
53
M
71
F
64
F
49
M
69
M
69
F
56
M
67
M
66
F
59
F
65
F
56
F
64
M
56
M
75
M
79
F
66
F
54
F
68
F
68
F
56
F
65
F
58
M
77
M
78
M
68
M
68
F
62
F
68
F
64
M
69
M
71
F
57
M
77
F
60
M
71
M
74
F
63
M
82
M
71
Use the sample weights (in kg) of male and female college students measured in April of their freshman year, as listed below. Use a 0.05 significance level to test the claim that near the end of the freshman year, weights of male college students vary more than weights of female college students. Assume that both samples are independent simple random samples from populations having normal distributions Click the icon to view the sample data What are the null and alternative hypotheses? 112 ldentify the test statistic. FRound to two decimal places as needed.) Use technology to identify the P-value The P-value isRound to three decimal places as needed.) What is the conclusion for this hypothesis test? A. Reject Ho . There is insufficient evidence to support the claim that near the B. end of the freshman year, weights of male college students vary more than weights of female college students Reject Ho. There is sufficient evidence to support the claim that near the end of the freshman year, weights of male college students vary more than weights of female college students C. Fail to reject H0. There is insufficient evidence to support the claim that C D. Fail to reject Ho. There is sufficient evidence to support the claim that near the end of the freshman year, weights of male college students vary more than weights of female college students near the end of the freshman year, weights of male college students vary more than weights of female college studentsExplanation / Answer
The statistical software output for this problem is:
Two sample variance hypothesis test:
12 : Variance of M
22 : Variance of F
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 > 1
Hypothesis test results:
Hence,
Hypotheses: Option B is correct.
F = 1.30
P - value = 0.226
Conclusion: Option C is correct.
Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 31 34 1.3027384 1.3027384 0.2257Related Questions
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