Question
In: Statistics and Probability
A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary...
A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary problems. They want to test the hypothesis that the mean test score is 70.
A random sample of 30 people have taken the test and their results recorded:
Download the data
| 88 | 42 | 84 | 100 | 83 | 73 | 78 | 67 | 64 | 72 |
| 62 | 68 | 58 | 68 | 45 | 73 | 57 | 68 | 67 | 66 |
| 94 | 75 | 89 | 56 | 67 | 53 | 52 | 72 | 71 | 51 |
a)Calculate the test statistic (t) for the hypothesis test. Give your answer to 4 decimal places.
t =
b)At a level of significance of α = 0.05, the result of this test is that the null hypothesis is rejectednot rejected.
Solutions
Expert Solution
from above test statistic (t) for the hypothesis test t=-0.4843
b) null hypothesis is not rejected as test statistic is not in crtiical region
orchestra answered 2 years agoRelated Solutions
A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary...
A psychologist has developed an aptitude test which consists of
a series of mathematical and vocabulary problems. They want to test
the hypothesis that the mean test score is 65.
A random sample of 30 people have taken the test and their
results recorded:
55
83
76
60
95
59
72
76
59
55
71
59
51
72
76
41
76
69
70
87
67
60
95
49
65
83
61
62
88
63
a.) Calculate the test statistic (t)...
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An educational psychologist has developed a meditation technique to reduce anxiety. The psychologist selected a sample...
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8
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8
6
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An educational psychologist has developed a mediation technique to reduce anxiety. The psychologist selected a sample...
An educational psychologist has developed a mediation technique
to reduce anxiety. The psychologist selected a sample of high
anxiety students that are asked to do the mediation at two therapy
sessions a week apart. The participants' anxiety is measured the
week before the first session and at each subsequent session. Below
are the anxiety scores for the participants. What can the
psychologist conclude with α= 0.05?
before
session 1
session 2
9
6
8
5
8
6
9
6
8...
An educational psychologist has developed a mediation technique to reduce anxiety. The psychologist selected a sample...
An educational psychologist has developed a mediation technique
to reduce anxiety. The psychologist selected a sample of high
anxiety students that are asked to do the mediation at two therapy
sessions a week apart. The participants' anxiety is measured the
week before the first session and at each subsequent session. Below
are the anxiety scores for the participants. What can the
psychologist conclude with α= 0.05?
before
session 1
session 2
9
6
8
5
8
6
9
6
8...
An educational psychologist has developed a mediation technique to reduce anxiety. The psychologist selected a sample...
An educational psychologist has developed a mediation technique
to reduce anxiety. The psychologist selected a sample of high
anxiety students that are asked to do the mediation at two therapy
sessions a week apart. The participants' anxiety is measured the
week before the first session and at each subsequent session. Below
are the anxiety scores for the participants. What can the
psychologist conclude with α = 0.01?
before
session 1
session 2
9
6
8
5
8
6
9
6...
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