Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 В.С. 30 131.64 mm 5,18 mm A.D. 150 30 136.13 mm 5.38 mm H: of

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Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random
samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
4000 В.С.
30
131.64 mm 5,18 mm
A.D. 150
30
136.13 mm
5.38 mm
H: of <o3
Identify the test statistic.
F =
(Round to two decimal places as needed.)
Use technology to identify the P-value.
The P-value is
(Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of maximal
O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the variation of maximal
skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
O C. Fail to reject Hn. There is insufficient evidence to warrant rejection of the claim that the variation of
O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of
maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
Transcribed Image Text:Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 В.С. 30 131.64 mm 5,18 mm A.D. 150 30 136.13 mm 5.38 mm H: of <o3 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of maximal O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. skull breadths in 4000 B.C. is the same as the variation in A.D. 150. O C. Fail to reject Hn. There is insufficient evidence to warrant rejection of the claim that the variation of O D. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
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