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 3 weeks ago

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