sp98ex2a

# sp98ex2a - COURSE: MSCI 3710.001 EXAM 2 Version A SEMESTER:...

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COURSE: MSCI 3710.001 Print Name: EXAM 2 Signature: Version A 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. A small-engine repair shop can special-order parts from any one of the three different warehouses and receive a substantial discount on the price. The manager of the shop is concerned with the length of time that it takes to special-order a part from one of the warehouses. The number of days it takes to special-order a part is recorded for 15 randomly selected orders from each of the three warehouses, as shown in the following table. A B C 13 7 10 17 12 12 14 8 18 10 15 19 9 6 9 15 10 15 18 12 20 11 10 11 13 8 15 18 14 13 16 10 17 13 6 13 15 9 10 12 13 14 16 11 16 The manager uses the data to test the claim, at the .05 significance level, that there is a difference in the mean times that it takes to special-order a part from a warehouse. The results of the ANOVA (conducted a the α = .05 level) are shown in the partially filled table below. ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Warehouse A 15 210 14 7.7143 Warehouse B 15 151 10.0667 7.7810 Warehouse C 15 212 14.1333 11.6952 ANOVA Source of Variation SS df MS F P-value F crit Among Groups xxx.xx 2 xx.xx x.xx 0.0006 x.xx Within Groups 380.67 xx xx.xx
Total 540.8 44 1. Which of the following is the correct alternative hypothesis? A. Ha: the mean time to special order is not the same for all three warehouses B. Ha: the mean time to special order is the same for all three warehouses C. Ha: the mean time to special order from each warehouse is different from the others D. Ha: the mean time to special order is most different for warehouse C E. Ha: the mean time to special order is the same among blocks of time 2. What is the calculated value of the test statistic to test the claim there is a difference in the mean times to special-order a part from a warehouse? A 3.23 B. 8.83 C. 80.07 D 151 E. .0006 3. What is the critical (table) value for the test in question #2? A 3.23 B. 8.83 C. 80.07 D 151 E. .0006 4. What is the variation, as measured by the sum of squares, of sample means about the grand mean? A. 540.8 B. 380.67 C. 160.13 D. 80.07 E. 9.06 5. What are the statistical decision and reason for the decision concerning the test in question #2? A.

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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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sp98ex2a - COURSE: MSCI 3710.001 EXAM 2 Version A SEMESTER:...

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