Consider the two independently chosen samples shown to the right whose populatio

Question

Consider the two independently chosen samples shown to the right whose population variances are not equal to each other. a. Using a significance level of 0.025, test the null hypothesis mu_1 - mu_2 lessthanorequalto 0. b. Calculate the p-value. a. What is the alternative hypothesis? A. H_A: mu_1 - mu_2 notequalto 0 B. H_A: mu_1 - mu_2 = 0 C. H_A: mu_1 - mu_2 greaterthanorequalto 0 D. H_A: mu_1 - mu_2 > 0 Calculate the number of degrees of freedom. df = (Round down to the nearest whole number.)

Explanation / Answer

The statistical software output for this problem is:

Two sample T hypothesis test:
1 : Mean of Sample 1
2 : Mean of Sample 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0
(without pooled variances)

Hypothesis test results:

Hence,

Alternative hypothesis: HA : 1 - 2 > 0

Option D is correct.

Df = 8

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -0.12 1.0096534 7.9953439 -0.11885267 0.5458

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