In an effort to improve the mathematical skills of 12 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was an increase in the scores. at æ=0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post- test minus Pre-test. pre-test post-test 86 86 60 58 88 81 82 75 50 49 58 54 67 64 78 80 49 42 57 55 51 49 92 100 Which of the following are the correct hypotheses? O Ho: Ha 2 0 HA: Hd < 0(claim) Но: ра < 0 HA: Hd > 0(claim) O Ho: Hd HA: Ha + 0(claim) Given that a is 0.01 the critical value is 2.718 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

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In an effort to improve the mathematical skills of 12 students, a teacher provides a weekly 1-hour tutoring
session. A pre-test is given before the sessions and a post-test is given after. The results are shown here.
Test the claim that there was an increase in the scores. at a=0.01. You believe that the population is
normally distributed, but you do not know the standard deviation. When calculating difference use Post-
test minus Pre-test.
pre-test
post-test
86
86
60
58
88
81
82
75
50
49
58
54
67
64
78
80
49
42
57
55
51
49
92
100
Which of the following are the correct hypotheses?
0 z Prl :0H
На: Ра < 0(claim)
Ho: µd <0
HA: Hd > 0(claim)
O Ho: Hd
HA: Hd + 0(claim)
Given that a is 0.01 the critical value is 2.718
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
reject Ho
O do not reject Ho
The final conclusion is that:
There is enough evidence to reject the claim that there was an increase in the scores.
There is not enough evidence to reject the claim that there was an increase in the scores.
There is enough evidence to support the claim that there was an increase in the scores.
There is not enough evidence to support the claim that there was an increase in the scores.
Transcribed Image Text:In an effort to improve the mathematical skills of 12 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was an increase in the scores. at a=0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post- test minus Pre-test. pre-test post-test 86 86 60 58 88 81 82 75 50 49 58 54 67 64 78 80 49 42 57 55 51 49 92 100 Which of the following are the correct hypotheses? 0 z Prl :0H На: Ра < 0(claim) Ho: µd <0 HA: Hd > 0(claim) O Ho: Hd HA: Hd + 0(claim) Given that a is 0.01 the critical value is 2.718 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: reject Ho O do not reject Ho The final conclusion is that: There is enough evidence to reject the claim that there was an increase in the scores. There is not enough evidence to reject the claim that there was an increase in the scores. There is enough evidence to support the claim that there was an increase in the scores. There is not enough evidence to support the claim that there was an increase in the scores.
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