Good Cholesterol (HDL) - A medical researcher in Calgary is interested in compar

Question

Good Cholesterol (HDL) - A medical researcher in Calgary is interested in comparing the average HDL levels of cholesterol for male adults in Alberta, Canada, across four age groups, Group 1 = 20 to less than 30 years old. Group 2 = 30 to less than 40 years old, Group 3 = 40 to less than 50 years old, and Group 4 = 50 to less than 60 years old. Thus the researcher is interested in learning about the four population mean HDL levels mi_i where i = 1,,2, 3, and 4 for the four respective age groups. A sample of 25 adult males from each age category is selected from the medical registry that is maintained in Calgary. The most recent HDL level for each selected adult male was recorded.

Explanation / Answer

1.a

At least one mean is different

1.b

True

1.c

True

1.d

Check the foru sample standrad deviations for HDL levels are similar, that is, that is the larger standard deviation is not more than twice the samllest standard deviations.

1.e

Since there are 4 groups so degree of freedom of the numerator is df1 = 4- 1 = 3

Total number of observations is : 24 +25+25+25 = 99

So degree of freedom of denominator is df2 = 99 - 4 = 95

That is F distribution F(3,95) will be used.

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