You wish to test the following claim (H

1

H1

) at a significance level of

=

0.001

=0.001

. For the context of this problem,

d

=

2

1

d=2-1

where the first data set represents a pre-test and the second data set represents a post-test.

H

o

:

d

=

0

Ho:d=0

H

1

:

d

>

0

H1:d>0

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

pre-test

55.1

61.4

55.3

48.8

55.6

56.9

52.6

56.4

51.6

58.7

48.2

54.4

------------------------------------------------------------------------------

post test

87.5

60.7

103.8

68.1

48.3

122.3

27.1

79.5

30.7

67.1

57.6

78.4

----------------------------------------------

What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

p-value =

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