Students in a chemistry class took a short test, then completed an online tutorial, then re-took the test. The points each student received on the test before and after completing the tutorial are given below. At the

=

0.10

=0.10

level of significance, can it be concluded that completing the online tutorial resulted in improved test scores? Let

B

B

be the mean test score before completing the tutorial,

A

A

be the mean test score after completing the tutorial, and

d

=

A

B

d=A-B

. Assume that the test score differences have a normal distribution.(Round your results to three decimal places)

Which would be correct hypotheses for this test?

• H
• 0
• :
• d
• =
• 0
• H0:d=0
• ,H
• 1
• :
• d
• 0
• H1:d0
• H
• 0
• :
• d
• >
• 0
• H0:d>0
• ,H
• 1
• :
• d
• <
• 0
• H1:d<0
• H
• 0
• :
• d
• =
• 0
• H0:d=0
• ,H
• 1
• :
• d
• <
• 0
• H1:d<0
• H
• 0
• :
• d
• 0
• H0:d0
• ,H
• 1
• :
• d
• =
• 0
• H1:d=0
• H
• 0
• :
• d
• =
• 0
• H0:d=0
• ,H
• 1
• :
• d
• >
• 0
• H1:d>0

BeforeAfter96812794696414789946412

Test Statistic:

Give the P-value:

Which is the correct result:

• Do not Reject the Null Hypothesis
• Reject the Null Hypothesis

What would be the appropriate conclusion?