Exam 10: Comparisons Involving Means, Experimental Design and Analysis of Variance

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Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three different specialties is shown below. Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three different specialties is shown below.     a.Compute the overall mean. b.State the null and alternative hypotheses to be tested. c.Show the complete ANOVA table for this test including the test statistic. d.The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude? e. Determine the p-value and use it for the test. a.Compute the overall mean. b.State the null and alternative hypotheses to be tested. c.Show the complete ANOVA table for this test including the test statistic. d.The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude? e. Determine the p-value and use it for the test.

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If we are interested in testing whether the mean of items in population 1 is significantly smaller than the mean of items in population 2, the

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The test scores for selected samples of sociology students who took the course from three different instructors are shown below.  The test scores for selected samples of sociology students who took the course from three different instructors are shown below.     At  \alpha  = 0.05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches. At α\alpha = 0.05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches.

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Exhibit 10-3 A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. Exhibit 10-3 A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information.    -Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is -Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is

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The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confidence, determine whether the bonus plan has increased sales significantly. (For the following matched samples, let the difference "d" be: d = after - before.) The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confidence, determine whether the bonus plan has increased sales significantly. (For the following matched samples, let the difference d be: d = after - before.)

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Independent random samples of managers' yearly salaries (in $1000) taken from governmental and private organizations provided the following information. At 95% confidence, test to determine if there is a significant difference between the average salaries of the managers in the two sectors. Independent random samples of managers' yearly salaries (in $1000) taken from governmental and private organizations provided the following information. At 95% confidence, test to determine if there is a significant difference between the average salaries of the managers in the two sectors.

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Independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal. The sample sizes are n1 = 32 and n2 = 40. The correct distribution to use is the

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Exhibit 10-2 The following information was obtained from matched samples. The daily production rates for a sample of workers before and after a training program are shown below.  Exhibit 10-2 The following information was obtained from matched samples. The daily production rates for a sample of workers before and after a training program are shown below.    -Refer to Exhibit 10-2. The null hypothesis to be tested is H<sub>0</sub>:  \mu <sub>d</sub> = 0. The test statistic is -Refer to Exhibit 10-2. The null hypothesis to be tested is H0: μ\mu d = 0. The test statistic is

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