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Chapter 13: Q. 8 (page 547)
In this problem, consider an F-curve with .
Identify the degrees of freedom for the numerator.
The degree of freedom for the numerator is .
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Popular Diets. In the article "Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Risk Reduction" (Journal of the American Medical Association, Vol. , No. 1, Pp, ), M. Dansinger et al. conducted a randomized trial to assess the effectiveness of four popular diets for weight loss. Overweight adults with an average body mass index ofand agesyears participated in the randomized trial for 1 year. The weight losses, in kilograms, based on the results of the experiment are given on the WeissStats site. Negative losses are gains. Weight Watchers.
a. Obtain individual normal probability plots and the standard deviation 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 on the data is reasonable. If so. also do parts (d) and (e).
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 fewer than the samples were taken.
e. Interpret your results from part (d)
The US Geological Survey, in cooperation with the Florida Department of Environment protection, investment the effects of waste disposal practices on ground water quality at five poultry farms in north-central Florida. At one site they drilled four monitoring wells, numbered \(1, 2, 3\) and \(4\). Over a period of \(9\) months, water samples were collected from the last three wells and analyzed for a variety of chemicals, including potassium, chlorides, nitrates and phosphorus. The concentrations in milligrams per litter are provided on the WeissStats site. For each of the four chemicals, decide whether the data provide sufficient evidence to conclude that a difference exists, in mean concentrations among the three wells. Use \(\alpha =0.01\).
Losses to Robbery. The Federal Bureau of investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime indicators, Independent simple random samples of reports for three types of robberies-highway, gas station, and convenience store gave the following data, in dollars, on the value of losses.
a. What does MSTR measure?
b. What does MSE measure?
c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
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. Decide whether presuming that the assumptions of normal populations and equal standard deviations are met is reasonable.
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