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

(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?

b) less than 11.4 minutes?

c) greater than 37.4 minutes?

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