A question on the 2006 General Social Survey was "When you drink, how many drinks do you have?" The results are shown.
# of Drinks Frequency
1 119
2 66
3 27
4 12
5 8
6 5
7 4
8 1
9 0
10 0
11 0
12 1
a. Draw a histogram of the data and comment on the shape of the distribution.
b. Determine the mean, mode, and standard deviation for the number of drinks.
c. Would it be unusual to observe an individual who consumes at least 8 drinks? Why?
d. What shape will the distribution of the sample mean have? Why?
e. Construct a 95% confidence interval for the mean number of drinks. Interpret the interval.