A study was done on skull sizes of humans during different time periods. The res

Question

A study was done on skull sizes of humans during different time periods. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level, and test the claim that the mean skull breadth in 4000 B.C is less than the mean skull breadth in A D 150. What are the null and alternative hypotheses? A.H_0: mu_1 = mu_2 H_1: mu_1 > mu_2 B.H_0: mu_1 = mu_2 H_1: mu_1 notequalto mu_2 C.H_0: mu_1 = mu_2 H_1: mu_1

Explanation / Answer

a) option C) is correct

as we want to know if mean is less in 4000BC

b)

Two-Sample T-Test and CI

Method

Equal variances are not assumed for this analysis.

Descriptive Statistics

Estimation for Difference

Test

TS = -1.97

p-value = 0.027

c) since p-value > 0.01

we fail to reject the null hypothesis

hence option A) is correct

b)

Estimation for Difference

since 0 is present in confidence interval

we fail to reject the claim

Please rate my solution

: mean of Sample 1 µ: mean of Sample 2 Difference: - µ

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