Q1) Population of scores forms normal distribution with mean of m = 40 and standard deviation of s=12.

a) Determine the probability that randomly selecting score less than x=34?

b) Determine the probability of selecting a sample n=9 score with mean less than M =34?

c) Determine the probability of selecting a sample n=36 scores with a mean less than M=34.

Q2) For population with mean of µ=60 and a standard deviation of s=24. Determine the z score corresponding to each of following samples.

a) M=63 for a sample of n=16 scores.

b) M=63 for a sample of n=36 scores.

c) M=63 for a sample of n=64 scores

Q3) Random sample is obtained from population with a mean of m= 50 and standard deviation of s= 12.

a) For sample of n=4 scores, would sample mean of M=55 be considered the extreme value or is it a fairly typical sample mean?

b) For sample of n=36 scores, would sample mean of M=55 be considered extreme value or is it fairly typical sample mean?