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In: Statistics and Probability

An instructor in a college biology course wants to test a new method for learning Punnett...

  1. An instructor in a college biology course wants to test a new method for learning Punnett squares. He begins by pairing students with similar entrance exam scores (ACT scores). Then he randomly selects one student from each pair to receive a new curriculum on Punnett squares, while the other student receives the traditional curriculum. At the end of the semester, he administers a genetics quiz with multiple Punnett square problems and records the number of errors. There are 24 students in this experiment. The data are as follows:

Pair

Intervention

Control

Difference

1

10

26

-16

2

22

40

-18

3

44

66

-22

4

23

55

-32

5

8

16

-8

6

33

33

0

7

0

8

-8

8

8

6

2

9

14

18

-4

10

34

14

20

11

2

23

-21

12

10

15

-5

Using a standard table of Wilcoxon signed-rank critical values, determine whether there is a statistically significant difference in the number of Punnett square errors between students exposed to the intervention versus those in the control group. Use a two-tailed test and an alpha = 0.05. Write your brief conclusion for an educated lay person.

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