Question: Explain whether one (or both) of the situations for the approximate normality of the sampling distribution of the mean holds in each scenario.
a. Mean normal body temperature will be determined for a randomly selected sample of 18 individuals. In the population of all humans, normal body temperature has approximately a normal distribution with mean μ = 98.2 degrees Fahrenheit and standard deviation σ = 0.5.
b. Mean number of music CDs owned will be determined for a randomly selected sample of four college students. In the population of all college students, the distribution of number of CDs owned is skewed to the right.
c. Refer to part (b). The mean number of music CDs owned will be determined for a randomly selected sample of 900 college students.