Question

A volleyball coach noted that players who practiced jumping during practice time seemed to be able to jump higher in the games. He wondered whether jumping practice increased vertical jump height more effectively than lower extremity weight training. To test this phenomenon, he proposed the null hypothesis, that no significant differences exist between players who practiced jumping, players who participate in lower extremity weight training, and players who do neither exercise. For 6 weeks prior to the start of the season, he randomly divided his team into three groups of 10 players each. Group one (control) practiced regularly without any special jumping or weight training. Group 2 (jumping) spent the last 20 minutes of each practice session in jumping exercises, and group 3 (weight training) spent the last 20 minutes of each practice session doing high-resistance leg presses. Following are the results (in inches) of a vertical jump test taken 2 days before the first game. Control Weight training Jumping 23 26 33 21 25 32 25 28 36 26 31 29 31 34 27 Control Weight training Jumping 27 35 34 32 29 35 34 27 37 25 28 35 21 25 28 1) (2pts) What are the means and standard deviations for the three groups? 2) (2pts) What is the value of F? Is it significant? Is so, what is the p value? 3) (2pts) Did either of the experimental group means significantly exceed the control group? (Use Tukey's HSD.) Which one(s)? 4) (1pts) Do you accept or reject the null hypothesis?

          A volleyball coach noted that players who practiced jumping during practice time seemed to be able to jump higher in the games. He wondered whether jumping practice increased vertical jump height more effectively than lower extremity weight training. To test this phenomenon, he proposed the null hypothesis, that no significant differences exist between players who practiced jumping, players who participate in lower extremity weight training, and players who do neither exercise.
For 6 weeks prior to the start of the season, he randomly divided his team into three groups of 10 players each. Group one (control) practiced regularly without any special jumping or weight training. Group 2 (jumping) spent the last 20 minutes of each practice session in jumping exercises, and group 3 (weight training) spent the last 20 minutes of each practice session doing high-resistance leg presses. Following are the results (in inches) of a vertical jump test taken 2 days before the first game.
Control Weight training Jumping
23 26 33
21 25 32
25 28 36
26 31 29
31 34 27
Control Weight training Jumping
27 35 34
32 29 35
34 27 37
25 28 35
21 25 28
1) (2pts) What are the means and standard deviations for the three groups?
2) (2pts) What is the value of F? Is it significant? Is so, what is the p value?
3) (2pts) Did either of the experimental group means significantly exceed the control group? (Use Tukey's HSD.) Which one(s)?
4) (1pts) Do you accept or reject the null hypothesis?

A volleyball coach noted that players who practiced jumping during practice time seemed to be able to jump higher in the games. He wondered whether jumping practice increased vertical jump height more effectively than lower extremity weight training. To test this phenomenon, he proposed the null hypothesis, that no significant differences exist between players who practiced jumping, players who participate in lower extremity weight training, and players who do neither exercise.
For 6 weeks prior to the start of the season, he randomly divided his team into three groups of 10 players each. Group one (control) practiced regularly without any special jumping or weight training. Group 2 (jumping) spent the last 20 minutes of each practice session in jumping exercises, and group 3 (weight training) spent the last 20 minutes of each practice session doing high-resistance leg presses. Following are the results (in inches) of a vertical jump test taken 2 days before the first game.
Control Weight training Jumping
23 26 33
21 25 32
25 28 36
26 31 29
31 34 27
Control Weight training Jumping
27 35 34
32 29 35
34 27 37
25 28 35
21 25 28
1) (2pts) What are the means and standard deviations for the three groups?
2) (2pts) What is the value of F? Is it significant? Is so, what is the p value?
3) (2pts) Did either of the experimental group means significantly exceed the control group? (Use Tukey's HSD.) Which one(s)?
4) (1pts) Do you accept or reject the null hypothesis?

Added by Irene T.

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