# Question

A question on the General Social Survey was “When you drink, how many drinks do you have?”The results are shown next.

Number 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 and standard deviation for number of drinks.

(c) What is the mode number of drinks?

(d) What is the probability a randomly selected individual consumes two drinks?

(e) Would it be unusual to observe an individual who consumes at least eight drinks? Why?

(f) What shape will the distribution of the sample mean have? Why?

(g) Construct a 95% conﬁdence interval for the mean number of drinks. Interpret this interval.

Number 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 and standard deviation for number of drinks.

(c) What is the mode number of drinks?

(d) What is the probability a randomly selected individual consumes two drinks?

(e) Would it be unusual to observe an individual who consumes at least eight drinks? Why?

(f) What shape will the distribution of the sample mean have? Why?

(g) Construct a 95% conﬁdence interval for the mean number of drinks. Interpret this interval.

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