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Test whether μ1<μ2 at the α=0.01 level of significance for the sample data shown in the...

Test whether

μ1<μ2

at the

α=0.01

level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed.

Population 1

 Population 2

n

31

25

x overbarx

103.4

114.2

s

12.2

13.3

LOADING...

Click the icon to view the data table.

D.

H0: μ1=μ2

H1: μ1<μ2

Your answer is correct.

Determine the​ P-value for this hypothesis test.

P=?

​(Round to three decimal places as​ needed.)

math   Statistics-And-Probability   
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Answer #1

The statistical software output for this problem is:

Two sample T summary hypothesis test:

μ1 : Mean of Population 1
μ2 : Mean of Population 2
μ1 - μ2 : Difference between two means
H0 : μ1 - μ2 = 0
HA : μ1 - μ2 < 0
(with pooled variances)

Hypothesis test results:

Difference Sample Diff. Std. Err. DF T-Stat P-value
μ1 - μ2 -10.8 3.4140456 54 -3.1634024 0.0013

Hence,

P - value = 0.001

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