Inverse normal probability for SAT scores
The distribution of SAT scores is normal with the mean of µ = 500 and a standard deviation of σ = 100. If the mean SAT score is computed from a sample of n = 100 students from this population.
A. What range of values has to contain the sample mean 95% of the time?
B. What range of values has to contain the sample mean 99% of the time?