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

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The standard error of is the xˉ1xˉ2\bar { x } _ { 1 } - \bar { x } _ { 2 }

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Exhibit 10-12 Source of Variation Sum of Squares Degrees of Freedom Mean Square F Setween Treatments Within Treatments Error) 180 3 TOTAL 480 18 -Refer to Exhibit 10-12. If at 95% confidence, we want to determine whether or not the means of the populations are equal, the p-value is

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Exhibit 10-13 Part of an ANOVA table is shown below. Source of Sum of Degrees Mean Variation Squares of Freedom Square F Between Treatments 64 8 Within Treatments 2 Error Total 100 -Refer to Exhibit 10-13. If at 95% confidence we want to determine whether or not the means of the populations are equal, the p-value is

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Exhibit 10-14 The following is part of an ANOVA table that was obtained from data regarding three treatments and a total of 15 observations. Source of Variation Sum of Squares Degrees of Freedom Between Treatments 64 Error Within Treatments) 96 -Refer to Exhibit 10-14. The conclusion of the test is that the means

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The variable of interest in an ANOVA procedure is called

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Exhibit 10-1 Salary information regarding male and female employees of a large company is shown below. Male Female Sample Size 64 36 Sample Mean Salary in \ 1,000) 44 41 Population Variance ) 128 72 -Refer to Exhibit 10-1. The standard error for the difference between the two means is

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The p-value

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Six observations were selected from each of three populations. The data obtained is shown below. Sample 1 Sample 2 Sample 3 31 31 37 28 32 36 34 33 39 32 30 40 26 32 35 29 34 35 a. Compute the overall sample mean . b. Test at the α = 0.05 level to determine if there is a significant difference in the means of the three populations.

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When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2,

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

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When using inference regarding two population means for "matched samples," the following values were found for d = Score After - Score Before: 2, -4, 1, 2, -1 The test statistics for this situation is

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Exhibit 10-6 The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Store's Card Major Credit Card Sample size 64 49 Sample mean \ 140 \ 125 Population standard deviation \ 10 \ 8 -Refer to Exhibit 10-6. A point estimate for the difference between the mean purchases of the users of the two credit cards is

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Independent simple random samples are taken to test the difference between the means of two populations whose variances are known. The sample sizes are n1 = 38 and n2 = 42. The correct distribution to use is the

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Exhibit 10-11 In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments a total of 65 observations). The following information is provided. SSTR = 200 Sum Square Between Treatments) SST = 800 Total Sum Square) -Refer to Exhibit 10-11. The mean square between treatments MSTR) is

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For a two-tailed test at 86.12% confidence, Z =

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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. Today Five Years Ago 82.0 88 112.5 54 45.0 36 Today Five Years Ago 82.0 88 112.5 54 45.0 36 Today Five Years Ago 82.0 88 112.5 54 45.0 36 n -Refer to Exhibit 10-3. The 95% confidence interval for the difference between the two population means is

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Exhibit 10-12 Source of Variation Sum of Squares Degrees of Freedom Mean Square F Setween Treatments Within Treatments Error) 180 3 TOTAL 480 18 -Refer to Exhibit 10-12. The test statistic is

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Two independent random samples of annual starting salaries for individuals with masters and bachelors degrees in business were taken and the results are shown below Masters Degree Bachelors Degree Sample Size 33.0 30 Sample Mean in $1,000) 58.0 54 Sample Standard Deviation in $1,000) 2.4 2 a. What are the degrees of freedom for the t distribution? b. Provide a 95% confidence interval estimate for the difference between the salaries of the two groups.

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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. Today Five Years Ago 82.0 88 112.5 54 45.0 36 Today Five Years Ago 82.0 88 112.5 54 45.0 36 Today Five Years Ago 82.0 88 112.5 54 45.0 36 n -Refer to Exhibit 10-3. The p-value for the difference between the two population means is

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The ANOVA procedure is a statistical approach for determining whether or not

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