1. The lengths (in minutes) ofa sample of 6 cell phone callsare given in the following table:

6 19 3 6 12 8

Calculate the following statistics (1 point each)

(a)mean

(b) median

(c) mode

(d) range

(e) standard deviation

2. The commute time to work in the U.S. has a bell shaped distribution with a population mean of 24.4 minutes and a population standard deviation of 6.5 minutes. What proportion of the population has a commute time:

a) between 11.4 minutes and 37.4 minutes? (1 pt)

b) less than 11.4 minutes?(1 pt)

c) greater than 37.4 minutes?(1 pt)

3. Using the parameters provided in the previous question, Q2, determine thez-score that corresponds to a commute time of 15 minutes. (2 pts)