Calculus and Above

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5. The following data lists...

5. The following data lists the average monthly snowfall for January in 15 cities around the US:

15 14 8 3 24 13 13 18

41 17 32 28 21 37 31

Find the mean, variance, and standard deviation. Please show all of your work

6. Rank the following data in increasing order and find the positions and values of both the 31st percentile and 85th

percentile. Please show all of your work.

0 8 6 1 9 7 1 0 1 7 5 4

11. Assume that the population of heights of female college students is approximately normally distributed with mean m of 66.45 inches and standard deviation s of 4.72 inches. A random sample of 82 heights is obtained. Show all work.

(A) Find

(B) Find the mean and standard error of the distribution

(C) Find

(D) Why is the formula required to solve (A) different than (C)?

A researcher claims that the average age of people who buy lottery tickets is 63. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At a

= 0.01 is there enough evidence to reject the researcher’s claim? Show all work.

49

63

80

52

22

80

72

56

70

56

24

46

70

74

70

61

65

71

39

74

79

76

71

49

62

68

71

67

69

45

15 14 8 3 24 13 13 18

41 17 32 28 21 37 31

Find the mean, variance, and standard deviation. Please show all of your work

6. Rank the following data in increasing order and find the positions and values of both the 31st percentile and 85th

percentile. Please show all of your work.

0 8 6 1 9 7 1 0 1 7 5 4

11. Assume that the population of heights of female college students is approximately normally distributed with mean m of 66.45 inches and standard deviation s of 4.72 inches. A random sample of 82 heights is obtained. Show all work.

(A) Find

(B) Find the mean and standard error of the distribution

(C) Find

(D) Why is the formula required to solve (A) different than (C)?

A researcher claims that the average age of people who buy lottery tickets is 63. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At a

= 0.01 is there enough evidence to reject the researcher’s claim? Show all work.

49

63

80

52

22

80

72

56

70

56

24

46

70

74

70

61

65

71

39

74

79

76

71

49

62

68

71

67

69

45

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