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Comparing Population Measures of Center and Dispersion The HDL cholesterol (in mg/dL) of 10 males and...

Comparing Population Measures of Center and Dispersion

The HDL cholesterol (in mg/dL) of 10 males and 10 females were recorded for random samples of Americans as part of a National Center for Health Statistics survey.

Female

Male

74

44

56

41

70

71

40

41

67

57

96

50

43

60

80

47

77

44

41

33

1. What is the population for this survey?

2. Find the mode and the range for each data set:

           Female and Male

3. Find the 5 number summary for each data set.

For male and female:

Minimum, 1st Quartile, Median, 3rd Quartile, Maximum

4. Find the mean for each data set:

Female:_________ Male:_________

5. Find the standard deviation for each data set.

Female:_________Male:______ 6. Assuming the population standard deviations are σ = 15 mg/dL for females and σ = 12 mg/dL for males, construct the 95% confidence intervals for HDL cholesterol for each group using the data. Write a sentence that explains the correct interpretation of each confidence interval.

7. Use your confidence intervals to decide if it is possible that the population mean HDL

cholesterol is the same for females and males. Briefly explain the logic behind your decision.

Solutions

Expert Solution

milcah answered 2 months ago
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