A random sample of size n = 18 is obtained from a normally distributed population with a population mean of μ = 46 and a variance of σ2 = 50.
a. What is the probability that the sample mean is greater than 50?
b. What is the value of the sample variance such that 5% of the sample variances would be less than this value?
c. What is the value of the sample variance such that 5% of the sample variances would be greater than this value?