sp98ex2b

# sp98ex2b - COURSE: MSCI 3710.002 EXAM 2 Version B SEMESTER:...

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COURSE: MSCI 3710.002 Print Name: EXAM 2 Signature: Version B 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 sales manager wanted to know whether there was a significant difference in the monthly sales of three sales representatives. John is strictly on commission. Randy is on commission and a small salary, and Ted is on small commission and a salary. Eight months were chosen at random. The data represent monthly sales. John Randy Ted 950 738 751 905 773 764 801 738 701 850 805 810 910 850 840 970 800 790 780 690 710 810 720 735 The sales manager used the data to test the claim, at the .05 significance level, that there was a difference in the monthly sales of three sales representatives. The results are shown in the partially filled ANOVA table below. Anova: Single Factor SUMMARY Groups Count Sum Average Variance John 8 6976 872.00 5150.571 Randy 8 6114 764.25 2745.357 Ted 8 6101 762.625 2349.696 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 62868.25 xx 31434.13 xxxxx.x xxxxx xxxxxx Within Groups xxxxx.xx xx xxxx.xxx Total 134587.6 23 1. What is the calculated value of the test statistic to test the claim there was a difference in monthly sales? A 3.47 B. 8.767 C. 3415
D 21 E. 9.20 2. What is the critical (table) value for the test in question #1 (α = .05)? A 3.47 B. 8.767 C. 3.415 D 21 E. 9.20 3. What is the variation, as measured by the sum of squares, of individual measurements about their respective means? A. 62868.25 B. 134587.6 C. 3415.21 D. 71719.3 E. 31434.13 4. For the test in question # 1, what are the statistical decision and reason for the decision? 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. Reject Ho because the calculated value of the test statistic is smaller than the table value. 5.

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## sp98ex2b - COURSE: MSCI 3710.002 EXAM 2 Version B SEMESTER:...

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