1) Random sample is attained from normal population with the mean of µ = 80 and standard deviation of σ = 8. Which of the following outcomes is more probable? Describe your answer.
a) A sample mean greater than 86 for sample of n = 4 scores.
b) A sample mean greater than 84 for sample of n = 16 scores.
2) Distribution of SAT scores is normal with the mean of µ = 500 and standard deviation of σ = 100. If mean SAT score is calculated from a sample of n = 100 students from this population.
a) What range of values must have the sample mean 95% of the time?
b) What range of values must have the sample mean 99% of the time?