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 a. Construct a box and whisker plot for: (i) online classes and (ii) face to face classes. b. Test, at the 5% significance level whether there is a difference in the mean grades of the two class types.

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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
a. Construct a box and whisker plot for: (1) online classes and (ii) face to face classes.
b. Test, at the 5% significance level whether there is a difference in the mean grades of
the two class types.
Transcribed Image Text: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 a. Construct a box and whisker plot for: (1) online classes and (ii) face to face classes. b. Test, at the 5% significance level whether there is a difference in the mean grades of the two class types.
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