A Random Sample of 21 Women Had Cholesterol Levels with a Variance

question 12

Essay

A random sample of 21 women had cholesterol levels with a variance of 1107.2. A random sample of 18 menhad cholesterol levels with a variance of 737.28. Test the hypothesis that the cholesterol levels for women havea larger variance than those for men. Use α = 0.01. Assume the samples were randomly selected from normalpopulations.

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Definitions:

Qualitative Predictor Variables

Variables that categorize or describe data based on attributes or qualities, such as gender, color, or type, which do not have a numerical value.

Dummy Variables

Numerical variables used in regression analysis to represent subgroups of the sample in a study.

Regression Model

A statistical technique that models and approximates the relationship between a dependent variable and one or more independent variables.

Multicollinearity

A statistical phenomenon in which two or more predictor variables in a multiple regression model are highly correlated, potentially distorting the results.