Question 4. Some students are nervous about their first Statistics class. To test whether taking her class might decrease students' anxiety about the subject, a professor surveyed students anxiety about Statistics at the beginning and end of her course. Anxiety levels were measured on a scale of 0 (not anxious at all) to 10 (extremely anxious). Here are the data for 16 randomly chosen students from a class of 180 students. For a single student, each column shows a score before the course, after the course, and the difference between the two. Row Row Mean SD Before 4.81 2.23 7 6 9 5 6 7 5 7 4 3 2 1 3 4 2 course After 3.69 1.54 4 3 7 4 5 4 5 3 3 1 4 course Difference (Before -3 -3 -2 -2 -2 -2 -1 -1 -1 -1 0 0 1 -1.06 1.18 - After) Do the data indicate that anxiety levels about the field of Statistics decreased over the course of the semester? Test an appropriate hypothesis and state your conclusion. 3. 3. 3.

508EEY The Asker · Probability and Statistics
Transcribed Image Text: 4. Some students are nervous about their first Statistics class. To test whether taking her class might decrease students' anxiety about the subject, a professor surveyed students anxiety about Statistics at the beginning and end of her course. Anxiety levels were measured on a scale of 0 (not anxious at all) to 10 (extremely anxious). Here are the data for 16 randomly chosen students from a class of 180 students. For a single student, each column shows a score before the course, after the course, and the difference between the two. Row Row Mean SD Before 4.81 2.23 7 6 9 5 6 7 5 7 4 3 2 1 3 4 2 course After 3.69 1.54 4 3 7 4 5 4 5 3 3 1 4 course Difference (Before -3 -3 -2 -2 -2 -2 -1 -1 -1 -1 0 0 1 -1.06 1.18 - After) Do the data indicate that anxiety levels about the field of Statistics decreased over the course of the semester? Test an appropriate hypothesis and state your conclusion. 3. 3. 3.
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Transcribed Image Text: 4. Some students are nervous about their first Statistics class. To test whether taking her class might decrease students' anxiety about the subject, a professor surveyed students anxiety about Statistics at the beginning and end of her course. Anxiety levels were measured on a scale of 0 (not anxious at all) to 10 (extremely anxious). Here are the data for 16 randomly chosen students from a class of 180 students. For a single student, each column shows a score before the course, after the course, and the difference between the two. Row Row Mean SD Before 4.81 2.23 7 6 9 5 6 7 5 7 4 3 2 1 3 4 2 course After 3.69 1.54 4 3 7 4 5 4 5 3 3 1 4 course Difference (Before -3 -3 -2 -2 -2 -2 -1 -1 -1 -1 0 0 1 -1.06 1.18 - After) Do the data indicate that anxiety levels about the field of Statistics decreased over the course of the semester? Test an appropriate hypothesis and state your conclusion. 3. 3. 3.