1. Twenty accounting students are randomly assigned to two different sections of an intermediate accounting class. Each section ends up consisting of 10 students. In one of the sections, computer-assisted instruction and review software is utilized; in the other section, it is not. All students are given the same final examination at the end of the semester.

   Used	Not Used
   73	78
   82	67
   72	71
   75	72
   88	69
   73	81
   74	64
   81	79
   86	73
   83	73

   
   What null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? If the data are as shown here, what conclusion would be reached at the 0.025 level of significance? From the F distribution tables, what is the approximate p-value for this test?
2. Students in a large section of a biology class have been randomly assigned to one of two graduate students for the laboratory portion of the class. A random sample of final examination scores has been selected from students supervised by each graduate student, with the following results.

1. What are the null and alternative hypotheses for this test?
2. Use ANOVA and the 0.01 level of significance in testing the null hypothesis identified in part a.

3. For a randomized block experiment in which there are three treatments and two blocks, the calculated value of F = MSTR/MSE is 16.1. Using the 0.05 level of significance, what conclusion would be reached? Based on the F distribution tables, what is the most accurate statement that could be made about the p-value for the test?

4. A randomized block design has five different age groups as blocks, and members of each block have been randomly assigned to the treatment groups shown here. For these data, use the 0.05 level in determining whether the treatment effects could all be zero. Using the 0.01 level, evaluate the effectiveness of the blocking variable.

5. In a two-way ANOVA experiment, factor A is operating on 3 levels, factor B is operating on 2 levels, and there are 2 replications per cell. If MSA/MSE = 5.35, MSB/MSE = 5.72, and MSAB/MSE = 6.75, and using the 0.05 level of significance, what conclusions would be reached regarding the respective null hypotheses for this experiment?

6. Given the following data for a two-way ANOVA, identify the sets of null and alternative hypotheses, then use the 0.05 level in testing each null hypotheses.

7. Sample data have been collected, and the null hypotheses to be tested is, HO: "The sample was drawn from a normal population." If the analysis is based on a categorization that includes 5 cells:

1. How many degrees of freedom will be associated with the test?
2. For a test at the 0.05 level, what is the critical value of chi-square?
3. If the calculated value of the chi-square statistic is 8.13, what conclusion would be reached regarding the null hypotheses?

8. Upon leaving an assembly area, production items are examined and some of them are found to be in need of either further work or total scrapping. Tags on a sample of 150 items that failed final inspection show both the recommended action and the identity of the inspector who examined the item. The summary information for the sample is shown below. At the 0.10 level, is the recommended action independent of the inspector? Based on the chi-square table, what is the most accurate statement that can be made about the p-value for the test?

Inspector

A B C

Recommended Major Rework 20 14 13 47

Action Minor Rework 18 16 23 57

Scrap 16 21 9 46

54 51 45 150

9. In "good news-bad news" settings, researchers report that 83% of women in the 21-34 age group say they prefer to hear the bad news first. This compares to 50% for the 35-44 group, 53% for the 45-54 group, and 70% for the 55 or over group.

For the "good news-bad news" situation and age groups described above, the corresponding percentages of men who say they prefer to hear the bad news first was reported as 70%, 75%, 76% and 10%. Assuming independent sample, each with n=100, use the 0.05 level in examining whether the population percentages could be equal for men in these four age groups.

10. A random sample of n = 12 is drawn from a population that is normally distributed, and sample variance is s² = 19.3. Use α = 0.025 in testing HO: ơ² ≤ 9.4 versus H1: ơ² > 9.4.

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