1) Assume distribution of SAT scores is normal with the mean of µ = 500 and standard deviation σ is unknown. If mean SAT score is calculated from the sample of n = 100 students from this population, and standard deviation of those students’ scores is s = 125.

a) What range of values must have the sample mean 95% of time?

b) What range of values must have the sample mean 99% of time

2) Population has mean of µ = 45 and standard deviation of σ = 20. Determine the z-score corresponding to each of the given sample means obtained from this population.

a) Mean = 47 for a sample of n = 4 scores

b) Mean = 47 for a sample of n = 100 scores

c) Mean = 40 for a sample of n = 16 scores