Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Researchers measured skulls from different time periods in an attempt to determi

ID: 3243344 • Letter: R

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. A H_0: sigma^2_1 = sigma^2_2 H_1: sigma^2_1 notequalto sigma^2_2 C. H_0: sigma^1_1 = sigma^2_2 H_1: sigma^2_1

Explanation / Answer

The statistical software output for this problem is:

Two sample variance hypothesis test:
12 : Variance of population 1
22 : Variance of population 2
12/22 : Ratio of two variances
H0 : 12/22 = 1
HA : 12/22 1

Hypothesis test results:

Hence,

Null and alternative hypotheses: Option A is correct.

F = 1.07

P = 0.848

Conclusion: Option C is correct.

Ratio Num. DF Den. DF Sample Ratio F-Stat P-value 12/22 29 29 1.0747045 1.0747045 0.8475
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote