1. A sociologist is interested is how often Americans watch the late (10 pm or 11 pm) news broadcast. Equipping the television sets in a random sample of 110 homes with electronic monitoring devices, she determines the number of newscasts watched during a particular week in October. The results are displayed in the following frequency distribution:

Days f

0 28

1 26

2 20

3 13

4 6

5 7

6 6

7 4

Total 110

a. (3 points) Calculate and interpret the mode, median and mean of the sample distribution.

b. (3 points) Calculate and interpret the standard deviation of the sample.

c. (1 point) Is the distribution symmetric, skewed left or skewed right? What impact does this shape have on the descriptive statistics?

d. (2 points) Based on these sample data, construct and interpret the 95% confidence interval for , the population mean.