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Chapter 12: Q. 13.32 (page 566)
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.
-statistic degrees of freedom
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Rock Sparrows. Rock Sparrows breeding in northern Italy are the subject of a long-term ecology and conservation study due to their wide variety of breeding patterns. Both males and females have a yellow patch on their breasts that is thought to play a significant role in their sexual behavior. A Pilastro et al. concluded an experiment in which they increased or reduced the size of a female's breast patch by dying feathers at the edge of a patch and then observed several characteristics of the behavior of the male. Their results were published in the paper "Male Rock Sparrows Adjust Their Breeding Strategy According to Female Ornamentation: Parental or Mating Investment?" (Animal Behaviour, Vol. , Issue , pp. ). Eight mating pairs were observed in each of three groups: a reduced-patch-size group, a control group, and an enlarged-patch-size group. The data on the WeissStats site, based on the results reported by the researchers, give the number of minutes per hour that males sang in the vicinity of the nest after the patch size manipulation was done on the females.
Job Priority Survey USA Today reported on an Adecco Sta鲁ng survey of 1000 randomly selected adults. Among those respondents, 20% chose health benefits as being most important to their job.
a. What is the number of respondents who chose health benefits as being most important to their job?
b. Construct a 95% interval estimate of the proportion of all adults who choose health benefits as being most important to their job.
c. Based on the result from part (b), can we safely conclude that the true proportion is different from 1/4? Why?
Female Pulse Rates and Age Using the pulse rates of females from Data Set 1 鈥淏ody Data鈥� in Appendix B after they are partitioned into the three age brackets of 18鈥�25, 26鈥�40, and 41鈥�80, we get the following Statdisk display. Using a 0.05 significance level, test the claim that females from the three age brackets have the same mean pulse rate. What do you conclude?
Pulse Rates If we use the data given in Exercise 1 with two-way analysis of variance, we get the accompanying display. What do you conclude?
Cola Weights Identify the value of the test statistic in the display included with Exercise 1. In general, do larger test statistics result in larger P-values, smaller P-values, or P-values that are unrelated to the value of the test statistic
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