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Chapter 13: Q.13.12 (page 532)
If we define as of which parameter is an estimate.
is the pooled estimate of population standard deviation.
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Suppose that a one-way ANOVA is being performed to compare the means of three populations and that the sample sizes are and Determine the degrees of freedom for the statistic.
Starting Salaries. The National Association of Colleges and Employers (NACE) conducts surveys on salary offers to college graduates by field and degree. Results are published in Salary Survey. The following table provides summary statistics for starting salaries, in thousands of dollars, to samples of bachelor's-degree graduates in six fields.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean starting salaries among bachelor's-degree candidates in the six fields? Note; For the degrees of freedom in this exercise:
Regarding one-way , fill in the blanks in each of Exercises
13.15 A measure of variation among the sample means is called the ------ The mathematical abbreviation for it is--------
How many degrees of freedom does an -curve have? What are those degrees of freedom called?
a. Obtain individual normal probability plots and the standard deviations of the samples.
b. Perform a residual analysis.
c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test and the data is reasonable. If so, also do parts .
d. Use a one-way ANOVA test to decide, at the significance level, whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken.
e. Interpret your results from part (d).
Weight Loss and BMI. In the paper "Voluntary Weight Reduction in Older Men Increases Hip Bone Loss: The Osteoporotic Fractures in Men Study" (Journal of Clinical Endocrinology & Metabolism, Vol. 90, Issue 4. Pp. ), K. Ensrud et al. reported on the effect of voluntary weight reduction on hip bone loss in older men. In the study, 1342 older men participated in two physical examinations an average of years apart. After the second exam, they were categorized into three groups according to their change in weight between exams: weight loss of more than , weight gain of more than , and stable weight (between loss and gain). For purposes of the hip bone density study, other characteristics were compared, one such being body mass index (BMI). On the Weissstats site, we provide the BMI data for the three groups, based on the results obtained by the researchers.
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