Question Help

Consider the following sample.

23

47

25

39

36

84

34

56

79

36

74

35

49

89

39

14

51

43

65

49

69

74

93

51

96

44

54

24

11

67

a) Calculate the mean and standard deviation for this data.

b) Determine the percentage of data values that fall in each of the intervals xs, x2s, and x3s.

c) Compare these with the percentages that should be expected from abell-shaped distribution. Does it seem plausible that these data came from abell-shaped population?

a) What is the mean of the dataset?

x=

nothing

(Round to two decimal places asneeded.)

What is the standard deviation of the dataset?

s=

nothing

(Round to two decimal places asneeded.)

b) What percentage of the data values fall within the interval xs?

The percentage of data values that fall within the interval is

nothing

%.

(Round to the nearest percent asneeded.)

What percentage of the data values fall within the interval x2s?

That percentage of data values that fall within the interval is

nothing

%.

(Round to the nearest percent asneeded.)

What percentage of the data values fall within the interval x3s?.

That percentage of data values that fall within the interval is

nothing

%.

(Round to the nearest percent asneeded.)

c) Does it seem plausible that these data came from abell-shaped distribution?

A.

The percentage for x2s does not agree with the Empirical Rule.

B.

The percentage for x3s does not agree with the Empirical Rule.

C.

Yes. All of the percentages agree with the Empirical Rule.

D.

None of the percentages agree with the Empirical Rule.