In: Statistics and Probability
2) Suppose I use a random numbers table to randomly choose 900 numbers between 0 and 100. In this particular sample, the mean of the 900 numbers is 50 and the standard deviation is 30.
a)Approximately, what proportion of the 900 numbers should fall between 20 and 80 (inclusive)?
b)Suppose each student in Static (class size = 140) repeats the experiment described above and computes the mean of his or her 900 numbers. Based on the information given above, estimate the standard error of those 140 means.
c) Approximately, what proportion of those means should fall between 20 and 80?
Thank you.