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. n 4000 B.C 30 131.49 mm 5.15 mm A.D. 150 30 136.33 mm 5.38 mm What are the null and alternative hypotheses? B. Họ: of = 03 OD. Ho: of =03

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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.
n
X
4000 В.C.
30
131.49 mm
5.15 mm
A.D. 150
30
136.33 mm
5.38 mm
What are the null and alternative hypotheses?
O A. Ho: o #o?
YB. Họ: o7 = 02
O C. Ho: o = 03
O D. Ho: o = o3
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. n X 4000 В.C. 30 131.49 mm 5.15 mm A.D. 150 30 136.33 mm 5.38 mm What are the null and alternative hypotheses? O A. Ho: o #o? YB. Họ: o7 = 02 O C. Ho: o = 03 O D. Ho: o = 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. Fail to reject Ho. There is sufficient evidence to warrant rejection of O B. Reject Ho. There is insufficient evidence to warrant rejection of the
the claim that the variation of maximal skull breadths in 4000 B.C. is
the same as the variation in A.D. 150.
claim that the variation of maximal skull breadths in 4000 B.C. is the
same as the variation in A.D. 150.
OC. Reject Ho- There is sufficient evidence to warrant rejection of the
O D. Fail to reject Ho- There is insufficient evidence to warrant rejection
claim that the variation of maximal skull breadths in 4000 B.C. is the
of the claim that the variation of maximal skull breadths in 4000 B.C.
same as the variation in A.D. 150.
is the same as the variation in A.D. 150.
Transcribed Image Text: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. Fail to reject Ho. There is sufficient evidence to warrant rejection of O B. Reject Ho. There is insufficient evidence to warrant rejection of the the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. OC. Reject Ho- There is sufficient evidence to warrant rejection of the O D. Fail to reject Ho- There is insufficient evidence to warrant rejection claim that the variation of maximal skull breadths in 4000 B.C. is the of the claim that the variation of maximal skull breadths in 4000 B.C. same as the variation in A.D. 150. is the same as the variation in A.D. 150.
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