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Chapter 13: Q.13.3 (page 526)
What symbol is used to denote the -value having area to its right? to its right? to its right?
F-values with an area of , , and a to their right are denoted as , and , respectively.
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we provide data from independent simple random samples from several populations. In each case,
a. compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.l on page 535
b. compare your results in part (a) for SSTR and SSE with those you obtained in Exercises 13.24-13.29, where you employed the defining formulas.
c. construct a one-way ANOVA table.
d. decide, at thesignificance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples were drawn are not all the same.
Doing Time. The Federal Bureau of Prisons publishes data in Statistical Report on the times served by prisoners released from federal institutions for the first time. Independent simple random samples of released prisoners for five different offence categories yielded the data on time served, in months, shown on the WeissStats site.
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).
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
Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level-high, mid, or low - and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the paper "Readability Levels of Magazine Ads" (Journal of Advertising Research, Vol. 21. No. 5, pp. 45-51). The number of words of three syllables or more in each ad are provided on the WeissStats site.
| Sample 1 | Sample 2 | Sample 3 | Sample 4 |
| 6 | 9 | 4 | 8 |
| 3 | 5 | 4 | 4 |
| 3 | 7 | 2 | 6 |
| 8 | 2 | ||
| 6 | 3 |
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