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# Fl97ex2 - The next seven questions use the following information The personnel director at Meangreen Industries is investigating dental claims

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The next seven questions use the following information. The personnel director at Meangreen Industries is investigating dental claims submitted by married employees having at least one child. Of interest is whether the average annual dollar amounts of dental work claimed by the husband, by the wife, and per child are the same. Data were collected by randomly selecting 16 families and recording these three dollar amounts (total claims for the year by the husband, by the wife, and per child). The results of the sample are shown below. Family Husband Wife Per Child 1 78 84 112 2 105 80 274 3 67 129 214 4 85 158 280 5 104 126 184 6 284 208 145 7 124 145 340 8 83 53 91 9 153 112 239 10 100 142 183 11 84 110 182 12 74 120 174 13 218 185 320 14 145 90 226 15 175 304 152 16 64 80 100 Meangreen’s personnel director decided to analyze the data using the randomized block approach of ANOVA. He used the procedure in Excel to yield the following results: Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance Husband 16 1943 121.4375 3721.196 Wife 16 2126 132.875 3726.117 Per Child 16 3216 201 5650.133 ANOVA Source of Variation SS df MS F P-value F crit Rows 104799.1 15 6986.61 2.28663 0.026241 2.014804 Columns 59210.79 2 29605.4 9.689475 0.000567 3.315833 Error 91662.54 30 3055.418 Total 255672.5 47

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Pairwise Comparisons Differenc e D-Factor Child - Husband 79.56 48.23 Child - Wife 68.13 48.23 Wife - Husband 11.44 48.23 1. Which of the following would be the appropriate alternative hypothesis for the primary purpose of the investigation (average dental claims by husband, wife, and per child are the same)? A. Ha: μ h = μ w = μ c B. Ha: μ h ≠ μ w ≠ μ c C. Ha: μ h = μ w < μ c D. Ha: μ h ≠ μ w < μ c E. Ha: At least one pair of μ h , μ w, μ c is different 2. What is the value of the test statistic to conduct the above hypothesis test? A. 2.287 B. 2.014 C. 3.316 D. 5.645 E. 9.689 3. What is decision and conclusion for the test conducted at α = .05? A. F.T.R. the null hypothesis since the test statistic is relatively large. Conclude there is evidence the average dental claim by husband, wife, and per child are all the same. B. F.T.R. the null hypothesis since the test statistic is relatively small. Conclude there is evidence the average dental claim by husband, wife, and per child are not all the same. C. Reject the null hypothesis since the test statistic is relatively large. Conclude there is evidence the average dental claim by husband, wife, and per child are all the same. D. Reject the null hypothesis since the test statistic is relatively large. Conclude there is evidence the average dental claim by husband, wife, and per child are not all the same. 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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Fl97ex2 - The next seven questions use the following information The personnel director at Meangreen Industries is investigating dental claims

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