Question

In: Statistics and Probability

Independent random samples selected from two normal populations produced the sample means and standard deviations shown...

Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right.

a.

 Assuming equal​ variances, conduct the test

Upper H 0 : left parenthesis mu 1 minus mu 2 right parenthesis equals 0H0: μ1−μ2=0

against

Upper H Subscript a Baseline : left parenthesis mu 1 minus mu 2 right parenthesis not equals 0Ha: μ1−μ2≠0

using alpha equals 0.10 .α=0.10.

b.

 Find and interpret the

9090​%

confidence interval for

left parenthesis mu 1 minus mu 2 right parenthesisμ1−μ2.

Sample 1

Sample 2

n 1n1equals=1515

n 2n2equals=1414

x overbar 1x1equals=5.55.5

x overbar 2x2equals=7.87.8

s 1s1equals=3.73.7

s 2s2equals=4.64.6

a. Find the test statistic.

The test statistic is

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Expert Solution

orchestra answered 2 years ago
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