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Chapter 12: Q4BSC (page 566)
Balanced Design Does the table given in Exercise 1 constitute a balanced design? Why or why not?
Yes, the given experiment is a balanced design as the number of observations under the given two factors is equal.
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Tukey Test
A display of the Bonferroni test results from Table 12-1 (which is part ofthe Chapter Problem) is provided on page 577. Shown on the top of the next page is the SPSS-generated display of results from the Tukey test using the same data. Compare the Tukey test results to those from the Bonferroni test.
Weights The weights (kg) in the following table are from Data Set 1 “Body Data” in Appendix B. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?
Female | Male | |||||||||||||||||||
18-29 | 63.4 | 57.8 | 52.6 | 46.9 | 61.7 | 61.5 | 77.2 | 50.4 | 97 | 76.1 | 71.6 | 64.9 | 144.9 | 96.4 | 80.7 | 84.4 | 63.9 | 79 | 99.4 | 64.1 |
30-49 | 110.5 | 84.6 | 133.3 | 90.2 | 125.7 | 105.3 | 115.5 | 75.3 | 92.8 | 57.7 | 96.2 | 56.4 | 107.4 | 99.5 | 64.8 | 94.7 | 74.2 | 112.8 | 72.6 | 91.4 |
50-80 | 103.2 | 48.3 | 87.8 | 101.3 | 67.8 | 45.2 | 79.8 | 60.1 | 68.5 | 43.3 | 84.8 | 127.5 | 89.9 | 75.3 | 110.2 | 72.3 | 77.2 | 86.5 | 71.3 | 73.1 |
b. compare your results in part (a) for and with those you obtained in Exercises , where you employed the defining formulas.
c. construct a one-way table.
d. decide, at the significance 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.
Job Priority Survey USA Today reported on an Adecco Sta³ng 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?
Speed Dating
Listed below are attribute ratings of males by females who participated in speed dating events (from Data Set 18 “Speed Dating” in Appendix B). Use a 0.05 significance level to test the claim that females in the different age brackets give attribute ratings with the same mean. Does age appear to be a factor in the female attribute ratings?
Age 20-22 | 38 | 42 | 30.0 | 39 | 47 | 43 | 33 | 31 | 32 | 28 |
Age 23-26 | 39 | 31 | 36.0 | 35 | 41 | 45 | 36 | 23 | 36 | 20 |
Age 27-29 | 36 | 42 | 35.5 | 27 | 37 | 34 | 22 | 47 | 36 | 32 |
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