You are performing a study about weekly per capita milk consumption. A previous study found weekly per capita milk consumption to be normallydistributed, with a mean of 47.9 fluid ounces and a standard deviation of 10.9 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.

39

55

34

41

43

52

33

65

40

52

42

24

39

55

43

45

44

53

49

51

36

34

24

43

60

42

49

46

56

38

(a) Draw a frequency histogram to display these data. Use seven classes. Choose the correct answer below.

A.

26.5

62.5

0

2

4

6

8

10

Volume

Frequency

A histogram has a horizontal axis labeled "Volume" from 26.5 to 62.5 in increments of 6 and a vertical axis labeled "Frequency" from 0 to 11 in increments of 1. The histogram contains vertical bars of width 6, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the volume is listed first and the height is listed second: 26.5, 8; 32.5, 6; 38.5, 6; 44.5, 3; 50.5, 3; 56.5, 2; 62.5, 2.

B.

26.5

62.5

0

2

4

6

8

10

Volume

Frequency

A histogram has a horizontal axis labeled "Volume" from 26.5 to 62.5 in increments of 6 and a vertical axis labeled "Frequency" from 0 to 11 in increments of 1. The histogram contains vertical bars of width 6, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the volume is listed first and the height is listed second: 26.5, 2; 32.5, 6; 38.5, 3; 44.5, 8; 50.5, 3; 56.5, 6; 62.5, 2.

C.

26.5

62.5

0

2

4

6

8

10

Volume

Frequency

A histogram has a horizontal axis labeled "Volume" from 26.5 to 62.5 in increments of 6 and a vertical axis labeled "Frequency" from 0 to 11 in increments of 1. The histogram contains vertical bars of width 6, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the volume is listed first and the height is listed second: 26.5, 9; 32.5, 8; 38.5, 5; 44.5, 3; 50.5, 5; 56.5, 8; 62.5, 9.

D.

26.5

62.5

0

2

4

6

8

10

Volume

Frequency

A histogram has a horizontal axis labeled "Volume" from 26.5 to 62.5 in increments of 6 and a vertical axis labeled "Frequency" from 0 to 11 in increments of 1. The histogram contains vertical bars of width 6, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the volume is listed first and the height is listed second: 26.5, 2; 32.5, 3; 38.5, 6; 44.5, 8; 50.5, 6; 56.5, 3; 62.5, 2.

Do the consumptions appear to be normallydistributed? Explain. Choose the correct answer below.

A.

No, because the histogram is neither symmetric norbell-shaped.

B.

Yes, because the histogram is symmetric andbell-shaped.

C.

No, because the histogram is symmetric andbell-shaped.

D.

Yes, because the histogram is neither symmetric norbell-shaped.

(b) Find the mean of your sample.

The mean is

nothing

.

(Round to one decimal place asneeded.)

Find the standard deviation of your sample.

The standard deviation is

nothing

.

(Round to one decimal place asneeded.)

(c) Compare the mean and standard deviation of your sample with those of the previous study. Discuss the differences.

The sample mean is

less

greater

than the previousmean, so, onaverage, consumption from the

sample is

less

greater

than in the previous study. The sample standard deviation is

less

greater

than the previous standard deviation by

nothing

, so the milk consumption is

less

more

spread out in the sample.