A simple random sample of n 36 is obtained from a populatio

A simple random sample of n = 36 is obtained from a population with = 64 and = 18. Find P(x 68.7)

Given that,

n = 36

= 64 and = 18

We have to find P(x 68.7).

We can find this probability by using z-score.

z = (x - ) /

z-score for x = 68.7 is,

z = (68.7 - 64) / 18 = 0.2611

That is now we have to find P(Z < 0.2611).

This probability we can find by using EXCEL.

syntax :

= NORMSDIST(z)

where, z is z-score value for x=68.7

P(Z< 0.2611) = 0.6030