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Question 22. A teacher asserts that students do not do as well in class using Method...

Question 22.

A teacher asserts that students do not do as well in class using Method A in the same amount of time as they would using Method B. Seven students are randomly selected. Each student’s grades are recorded by the use of Method A and Method B.

Student

Method A

Method B

1

33

20

2

90

40

3

90

55

4

60

80

5

100

100

6

90

95

7

80

90
  1. Specify the null and alternate hypotheses to test the teacher’s assertion.
  2. At the 1% significance level, specify the critical value(s) and decision rule.
  3. Assuming the completion difference of the methods is normally distributed, calculate the value of the test statistic.
  4. Is the teacher’s assertion supported by the data?
math   Statistics-And-Probability   
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