Ken is a sports teacher in a college and he wants to examine whether there is any difference in the students' maximum vertical jumps before and after the training program. Ken selects a simple random sample of 12 students and measure their maximum vertical jumps. Then he provided a training program to these 12 students for a month and measured the maximum vertical jumps again at the end of the month.                                                 Student 1 2 3 4 7 8. 9. 10 11 12 Max vertical jump (cm) before training program 22 20 19 24 25 25 28 22 30 27 24 18 Max vertical jump (cm) after training program 24 22 19 22 28 26 28 30 29 25 20 (a) Test, at the 0.05 level of significance, whether there is difference in the students' maximum vertical jumps before and after the training program. (b) State the assumption(s) required for the analysis in (a). (c) Find the range of the p-value for the test in (a).

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Q1 Ken is a sports teacher in a college and he wants to examine whether there is any difference in the students' maximum vertical jumps before and after the training program. Ken selects a simple random sample of 12 students and measure their maximum vertical jumps. Then he provided a training program to these 12 students for a month and measured the maximum vertical jumps again at the end of the month.

                       
                       

Student 1 2 3 4 7 8. 9. 10 11 12 Max vertical jump (cm) before training program 22 20 19 24 25 25 28 22 30 27 24 18 Max vertical jump (cm) after training program 24 22 19 22 28 26 28 30 29 25 20 (a) Test, at the 0.05 level of significance, whether there is difference in the students' maximum vertical jumps before and after the training program. (b) State the assumption(s) required for the analysis in (a). (c) Find the range of the p-value for the test in (a).

 

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