A researcher is interested in the relationship between cigarette smoking and BMI (kg/m2) in adolescents. In order to test his hypothesis, the researcher decides to divide cigarette smoking into four groups based on the number of cigarettes smoked per day versus a control group of never smokers. The following incomplete ANOVA table summarizes a preliminary analysis for the difference in mean BMI for the groups. Sum of SquaresdfMean SquareBetween Groups54 Within Groups 38 Total197 Fill in the ANOVA table above for all missing values. B) Calculate your F statistic for the one way analysis of variance.

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Description: A researcher is interested in the relationship between cigarette smoking and BMI (kg/m2) in adolescents. In order to test his hypothesis, the researcher decides to divide cigarette smoking into four groups based on the number of cigarettes smoked per

sum of squares d.f. Mean sum of square Between groups 54 within groups 38 total…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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A researcher is interested in the relationship between cigarette smoking and BMI (kg/m²) in adolescents. In order to test his hypothesis, the researcher decides to divide cigarette smoking into four groups based on the number of cigarettes smoked per day versus a control group of never smokers. The following incomplete ANOVA table summarizes a preliminary analysis for the difference in mean BMI for the groups.

	Sum of Squares	df	Mean Square
Between Groups	54
Within Groups		38
Total	197

Fill in the ANOVA table above for all missing values.

B) Calculate your F statistic for the one way analysis of variance.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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