sp98ex2d

sp98ex2d - COURSE: MSCI 3710.004 EXAM 2 Sample Version...

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COURSE: MSCI 3710.004 Print Name: EXAM 2 Signature: Sample Version S.S.#: SEMESTER: Spring 1998 Seat Number: Note: Whenever question(s) are connected you may be asked to assume a result (given a value) from the previous question but this result may or may not be correct. This is to prevent you from losing points on a second question because you made a mistake on a previous question.

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Use the information given in the paragraph below to answer the next six questions. Three machines package 50-pound sacks of pinto beans. The quality control manager in the packaging plant wants to determine whether there is a difference in the mean weight packaged by the three machines. Random samples of 13 sacks are weighed from each machine. The data are shown in the table below. Machine 1 Machine 2 Machine 3 52 50 48 51 49 46 48 51 51 50 50 50 46 52 52 48 53 50 53 55 51 49 50 52 47 49 50 51 51 51 49 50 49 45 49 50 50 48 50 The quality control manager uses the data to test the claim, at the .10 significance level, that there is a difference in the mean weights of the sacks produced by the three machines. The results for the analysis (conducted at the α = .10 level) are shown in the partially filled ANOVA table below. Anova: Single Factor SUMMARY Groups Count Sum Average Variance Machine 1 13 639 49.15385 5.474359 Machine 2 13 657 50.53846 3.602564 Machine 3 13 650 50 2.666667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups xxxxxxxx 2 xxxxxx xxxxxx xxxxxxx xxxxxx Within Groups 140.9231 xxx xxxxxx Total 153.5897 38 1. What is the variation, as measured by the sum of squares, of individual weights about their respective means for the three machines?
A. 5.47 B. 3.60 C. 12.67 D. 140.92 E. 153.59 2. What is the calculated value of the test statistic to test the claim there is a difference in mean weight of the sacks produced by the three machines? A 2.44 B. 6.33 C. 1.62 D 3.92 E. 12.67 3. What is the critical (table) value for the test in question #2? A 2.44 B. 6.33 C. 1.62 D 3.92 E. 12.67 4. What are the statistical decision and reason for the decision for the test in question #2? A Reject Ho because the calculated value of the test statistic is larger than the table value. B. Reject Ha because the calculated value of the test statistic is larger than the table value. C. Fail to reject Ho because the calculated value of the test statistic is smaller than the table value D. Fail to reject Ho because the calculated value of the test statistic is larger than the table value. E.

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This note was uploaded on 03/09/2011 for the course DSCI 3710 taught by Professor Dr.jay during the Spring '08 term at North Texas.

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sp98ex2d - COURSE: MSCI 3710.004 EXAM 2 Sample Version...

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