Relative Performances in Track Events In Saturdays track mee

Relative Performances in Track Events In Saturday?s track meet, Edgar, a high jumper, jumped 6 feet 3 inches. Conference high jump marks for the past season had a mean of 6 feet even and a standard devia tion of 3.5 inches. Kurt, Edgars teammate, achieved 18 feet 4 inches in the long jump. In that event the Conference season avenge (mean) and standard deviation were 16 feet 6 inches and 1 foot 10 inches, respectively. e1ative to this past season in this conference, .which athlete had a belier performance on Saturday?

Solution

Let high jump distance is normally distributed.

1 foot=12 inches

z=(X-mu)/sd

For Edgar

z= (75-72)/3.5 = 0.857

Similarly for Kurt

z= (18*12+4-16*6-6)/22=5.36

P(z>=5.36)<P(z>=0.857)

So we can say that performance of Kurt was better.