You wish to test the following claim (H

a

Ha

) at a significance level of

=

0.01

=0.01

. For the context of this problem,

d

=

P

o

s

t

T

e

s

t

P

r

e

T

e

s

t

d=PostTest-PreTest

where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your

1

1

and

2

2

are so that the differences are computed correctly.)

H

o

:

d

=

0

Ho:d=0

H

a

:

d

0

Ha:d0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:pre-testpost-test63.443.360.386.632.141.163.771.745.958.854.477.256.674.25639.648.147.561.879.971.5104.974.760.466.3106.74754.576.19163.470.9717245.379.861.271.2

What is the test statistic for this sample?

test statistic =(Report answer accurate to 4 decimal places.)

What is the p-value for this sample?

p-value =(Report answer accurate to 4 decimal places.)

The p-value is...

• less than (or equal to)
• greater than

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
• There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
• The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.
• There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.