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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 4000 B.C. is the same as the variation in A.D. 150. S n 4000 B.C. 30 131.46 mm 5.13 mm

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 4000 B.C. is the same as the variation in A.D. 150. S n 4000 B.C. 30 131.46 mm 5.13 mm

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 4000 B.C. 30 A.D. 150 30 O A. X 131.46 mm 136.47 mm What are the null and alternative hypotheses? : 0²₁ = 0 ²₂/ Ho: H₁: 03/20/ OC. Ho: 0 = 02 H₁:0² <0²/2 S 5.13 mm 5.34 mm 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 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. ○ B. Ho: 0² #03 H₂₁:0=0₂ OD. Ho: 1: 0 ²₁² = 0 ²³² H₁:07 +0² O B. 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. O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 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. 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. n 4000 B.C. 30 A.D. 150 30 O A. X 131.46 mm 136.47 mm What are the null and alternative hypotheses? : 0²₁ = 0 ²₂/ Ho: H₁: 03/20/ OC. Ho: 0 = 02 H₁:0² <0²/2 S 5.13 mm 5.34 mm 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 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. ○ B. Ho: 0² #03 H₂₁:0=0₂ OD. Ho: 1: 0 ²₁² = 0 ²³² H₁:07 +0² O B. 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. O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the variation of maximal skull breadths in 4000 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. B.C. is the same as the variation in A.D. 150.
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