The University of Michigan is interested in determining if the performance of students in Advanced Statistics differs depending on whether students attend only online classes or only face to face. The final grades of 15 students who attend classes solely online was obtained as well as a further 15 students who attend classes face to face. The grades are provided in the table below: Online 86 86 91 68 78 45 93 59 63 75 69 79 82 68 47 Face to Face 50 80 52 92 90 91 72 76 85 44 50 44 57 93 65 Construct a box and whisker plot for: (i) online classes and (ii) face to face classes. Test, at the 5% significance level, whether there is a difference in the mean grades of the two class types. C. Confirm test results in part (b) using JASP. Note: All JASP input files and output tables should be provided
The University of Michigan is interested in determining if the performance of students in Advanced Statistics differs depending on whether students attend only online classes or only face to face. The final grades of 15 students who attend classes solely online was obtained as well as a further 15 students who attend classes face to face. The grades are provided in the table below:
Online
86
86
91
68 78 45
93
59 63
75 69 79 82
68
47
Face to Face
50
80
52 92 90 91 72 76 85
44 50 44 57 93 65
- Construct a box and whisker plot for: (i) online classes and (ii) face to face classes.
- Test, at the 5% significance level, whether there is a difference in the mean grades of the two class types.
C.
Confirm test results in part (b) using JASP. Note: All JASP input files and output tables should be provided
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A researcher is interested in measuring the memory recall of students. Twenty students were given
fifteen minutes to try to memorize a list of 15 phrases. Each student was then asked to list as many
of the phrases as he or she could remember both two hours and twenty-four hours later. The number
of phrases recalled correctly for each student are shown below.
Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Two Hours 7 1 9 13 3 0 3 14 0 12 2 2 12 10 2 4 3 11 5 4
Twenty-Four
Hours 2 2 4 14 10 9 4 3 1 3 14 4 1 0 11 10 10 12 14 13
a. Calculate the following for each group:
i. 20% trimmed mean
ii. The
b. Test the hypothesis that the mean for the memory after two hours is less than 5. Use
the 1% level of significance.
c. Determine whether there is evidence, at the 5% level of significance, that for all
students, the mean number of words recalled after two hours exceeds that recalled
after twenty-four hours.
d. Confirm test results in part (c) using JASP.
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