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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman