The following data represent a random sample the golf scores for a particular go

Question

The following data represent a random sample the golf scores for a particular golfer from a course that he regularly plays. This golfer would like to test if his golf scores at this course follow the normal probability distribution with mu = 85 and sigma = 5 using d = 0.05. What is the expected number of scores from this sample that would fall in the interval of 80 or less? Round to two decimal places. 5.55 11.95 7.20 9.36 What is the expected number of scores from this sample that would fall in the interval of more than 85 to 90 Round to two decimal places 5.55 9.36 7.20 11.95

Explanation / Answer

1)total sample size n=35

from normal distribution probability that value is less then 80=P(X<80)=P(Z<(80-85)/5)=P(Z<-1)=0.1587

therefore expected numbr of values fall below 80 =np=35*0.1587=5.55

option A is correct

2) P(85<X<90)=P(0<Z<1)=0.8413-0.5=0.3413

therefore expected numbr of values fall from 85 to 90 =np=35*0.3413=11.95

option D

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