A shoe manufacturer claims that athletes can increase their vertical jump heights using the manufacturer’s training shoes. The vertical jump heights of eight randomly selected athletes are measured. After the athletes have used the shoes for 10 months, their vertical jump heights are measured again. The vertical jump heights (in inches) for each athlete and some statistics are given in the table below.   Athlete 1 2 3 4 5 6 7 8 Mean SD jump height before using the shoes 22 27 32 27 24 28 35 32 28.3750 4.3732 jump height after using the shoes 23 29 31 29 22 31 40 34 29.8750 5.7678 difference 1 2 -1 2 -2 3 5 2 1.5000 2.2039 . Null hypothesis, μd = μafter − μbefore

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A shoe manufacturer claims that athletes can increase their vertical jump heights using the manufacturer’s training shoes. The vertical jump heights of eight randomly selected athletes are measured. After the athletes have used the shoes for 10 months, their vertical jump heights are measured again. The vertical jump heights (in inches) for each athlete and some statistics are given in the table below.

 

Athlete 1 2 3 4 5 6 7 8 Mean SD
jump height before using the shoes 22 27 32 27 24 28 35 32 28.3750 4.3732
jump height after using the shoes 23 29 31 29 22 31 40 34 29.8750 5.7678
difference 1 2 -1 2 -2 3 5 2 1.5000 2.2039
  1. . Null hypothesis, μd = μafter − μbefore
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