CRA CDs Inc. wants that the average spaces of the "cuts" in a CD to be 135 seconds (2 minutes and 15 seconds). This will allow the disc jockeys to have sufficient time for TV/radio commercials inside every segment of 10 minutes. Suppose that the distribution of the spaces of the "cuts" continues the normal distribution with a standard deviation of 8 seconds. Suppose that we select a sample of 16 "cuts" of diverse CDs that CRA CDs, Inc. sells.
a) What can we say about the form or way of the distribution of the average or median of the sample?
b) Which is the standard error of the average or median?
c) What percentage of the averages or medians of the sample will be greater than 140 seconds?
d) What percentage of the averages or medians of the sample will be greater than 128 seconds?
e) What percentage of the averages or medians of the sample will be greater than 128 seconds but less than 140 seconds?