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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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Refer to Exercise \(13.5\).
a. Find and interpret a \(95%\) confidence interval for the mean monthly rent of newly completed apartments in the Midwest.
b. Find and interpret a \(95%\) confidence interval for the difference between the mean monthly rents of newly completed apartments in the Northwest and South.
c. What assumptions are you making in solving parts (a) and (b)?
13.19 What does the term one-way signify in the phrase one-way?
We have provided data from independent simple random samples from several populations. In each case, determine the following items.
a. SSTR
b. MSTR
c. SSE
d. MSE
e. F
| Sample 1 | Sample 2 | Sample 3 |
| 5 | ||
Copepod Cuisine. Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists G. Weiss et al. at the Chesapeake Biological Laboratory in Maryland designed an experiment to determine whether dietary lipid (fat) content is important in the population growth of a Chesapeake Bay copepod. Their findings were published in the paper "Development and Lipid Composition of the Harpacticoid Copepod Nitocra Spinipes Reared on Different Diets" (Marine Ecology Progress Series, Vol. , pp. ). Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There was containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After days, the number of copepods in each container was as follows.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean number of copepods among the three different diets? (Note:
Breast Milk and IQ. Considerable controversy exists over whether long-term neurodevelopment is affected by nutritional factors in early life. A. Lucas and R. Morley summarized their findings on that question for preterm babies in the publication "Breast Milk and Subsequent Intelligence Quotient in Children Born Preterm (The Lancet, Vol. 339, Issue 8788, Pp, 261-264). The researchers analyzed IQ data on children at age years. The mothers of the children in the study had chosen whether to provide their infants with breast milk within hours of delivery. The researchers used the following designations. Group I: mothers declined to provide breast milk; Group ll a: mothers had chosen but were unable to provide breast milk and Group Il b; mothers had chosen and were able to provide breast milk. Here are the summary statistics on IQ.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean IQ at age years for preterm children among the three groups? Note: For the degrees of freedom in this exercise:
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