In an effort to improve the mathematical skills of 11 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-0.05. 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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In an effort to improve the mathematical skills of 11 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-0.05. 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
72
71
62
76
99
98
76
55
100
82
73
75
Which of the following are the correct hypotheses?
Ο Ho: la > 0
O Ho: Pd ≤0
HA: Md < 0(claim)
75
67
53
67
90
103
83
63
HA:Hd > 0(claim)
=
93
74
Ho: pd
0
HA: Md
0(claim)
Given that a is 0.05 the critical value is 1.813
The test statistic is:
The p-value is:
The decision can be made to:
O reject Ho
do not reject Ho
(round to 3 places)
(round to 3 places)
The final conclusion is that:
O There is enough evidence to reject the claim that there was an increase in the scores.
O There is not enough evidence to reject the claim that there was an increase in the scores.
Transcribed Image Text:In an effort to improve the mathematical skills of 11 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-0.05. 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 72 71 62 76 99 98 76 55 100 82 73 75 Which of the following are the correct hypotheses? Ο Ho: la > 0 O Ho: Pd ≤0 HA: Md < 0(claim) 75 67 53 67 90 103 83 63 HA:Hd > 0(claim) = 93 74 Ho: pd 0 HA: Md 0(claim) Given that a is 0.05 the critical value is 1.813 The test statistic is: The p-value is: The decision can be made to: O reject Ho do not reject Ho (round to 3 places) (round to 3 places) The final conclusion is that: O There is enough evidence to reject the claim that there was an increase in the scores. O There is not enough evidence to reject the claim that there was an increase in the scores.
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