In an effort to improve the mathematical skills of 19 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=0.05. 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 78 77 43 50 72 62 91 94 65 72 48 54 67 57 100 93 66 64 94 84 75 82 67 77 98 97 70 65 63 72 69 73 80 89 68 66 61 55 Which of the following are the correct hypotheses? O Ho:µd 2 0 HA: Hd < 0(claim) O Ho: µa < 0 HA: Hd > 0(claim) O Ho:µd = 0 HA: Hd # 0(claim) Given that a is 0.05 the critical value is 1.734 The test statistic is: |(round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho 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. There is enough evidence to support the claim that there was an increase in the scores. O There is not enough evidence to support the claim that there was an increase in the scores.
In an effort to improve the mathematical skills of 19 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=0.05. 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 78 77 43 50 72 62 91 94 65 72 48 54 67 57 100 93 66 64 94 84 75 82 67 77 98 97 70 65 63 72 69 73 80 89 68 66 61 55 Which of the following are the correct hypotheses? O Ho:µd 2 0 HA: Hd < 0(claim) O Ho: µa < 0 HA: Hd > 0(claim) O Ho:µd = 0 HA: Hd # 0(claim) Given that a is 0.05 the critical value is 1.734 The test statistic is: |(round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho 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. There is enough evidence to support the claim that there was an increase in the scores. O There is not enough evidence to support the claim that there was an increase in the scores.
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Transcribed Image Text:In an effort to improve the mathematical skills of 19 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=0.05. 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
78
77
43
50
72
62
91
94
65
72
48
54
67
57
100
93
66
64
94
84
75
82
67
77
98
97
70
65
63
72
69
73
80
89
68
66
61
55
Which of the following are the correct hypotheses?
O Ho : µd 20
HA: Ha < 0(claim)
O Ho: Ha <0
HA: Ha > 0(claim)
O Ho: µd = 0
HA: Hà + 0(claim)
Given that a is 0.05 the critical value is 1.734
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
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.
O There is enough evidence to support the claim that there was an increase in the scores.
O There is not enough evidence to support the claim that there was an increase in the scores.
Expert Solution
Step 1
Solution:
State the hypotheses.
Null hypothesis:
H0:µd≥0
That is, there was no increase in the scores.
Alternative hypothesis:
HA:µd<0
That is, there was an increase in the scores.
Thus, the correct option is “H0: µd≥0, HA: µd<0(claim)”.
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