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Chapter 13: Q. 1 (page 547)
For what is one-way ANOVA used?
When comparing several population means, one-way ANOVA is employed.
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Fill in the missing entries in the partially completed one-way ANOVA tables.
many species of cuckoos are brood parasites. The females lay their eggs in the nests if similar bird species that then raise the young cuckoos at the expense of their own young. The question might be asked, "Do the cuckoos lay the same size eggs regardless of the size of the bird whose nest they use"? Data on the lengths, in millimeters of cuckoo eggs found in the nests of six bird species- Meadow Pipit, Tree pipit, Hedge Sparrow, Robin, Pied Wagtail and wren are provided on the WeissStats site. These data are collected by the late O. Latter in \(1902\) and used by L. Tippett in his text The Methods of Statistics.
a. Obtain individual normal probability plots and the standard deviations of the sample.
b. Perform a residual analysis
c. use your results from part (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\(5%\) 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).
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 Leg Power. Another characteristic compared in the hip bone density study "discussed in Problem
was " Maximum Nottingham leg power, in watts, On the WeissStats site, we provide the leg-power data for the three groups, based on the results obtained by the researchers.
For a one-way ANOVA,
a. identify one purpose of one-way ANOVA tables.
b. construct a generic one-way ANOVA table.
The US Census Bureau collect data on monthly rents of newly completed apartments and publishes the results, in Current Housing Reports. Independent random samples of newly completed apartments in the four US regions yielded the data on monthly rents, in dollars given on WeissStats site. At the \(5%\) significance level, do the data provide sufficient evidence to conclude that a difference exists in mean monthly rents among newly completed apartments in the four US regions?
a. conduct a one-way ANOVA test on the data
b. Interpret your results from part (a)
c. decide whether presuming that the assumptions of normal populations and equal population standard are met is reasonable.
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