ANOVA
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Just finished my homework but just wanted to have someone look it over and make sure that I'm doing it correctly. Interpreting the values is easy enough when you run ANOVA but I'm more interested in making sure that my hypotheses and conclusions are correct.
I'm attaching the original assignment and my answer sheet in Excel (I use Book 1 and 2 for the problems, respectively)
Check it out and tell me how I did. Offering more credits if I screwed up big and you can redo it for me. Thanks
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Solution Summary
ANOVA for two easy business statistics is examined.
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Hello, the answers you provided are absolutely correct.
I have provided answers in a word file with excel output.
1. The human resource director at Potts 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 (shown below) are used to answer the following questions.
Family Husband Wife Per Child
1 75 80 110
2 100 80 270
3 95 180 300
4 85 160 280
5 150 180 260
6 250 210 145
7 125 145 340
8 120 75 130
9 155 110 240
10 145 205 260
11 85 110 180
12 105 170 250
13 220 185 320
14 145 90 230
15 175 305 150
16 130 160 220
A. Can the human resource director conclude that there is a difference in the three population means using a significance level of 0.05?
B. At 5 percent level of significance, test for significance of the block (family) effect. Make sure to specify your null and alternative hypotheses and write your conclusion.
Answers
The null hypotheses under consideration are
H01: There is no significant difference in the average annual dollar amounts of dental work claimed by the husband, by the wife, and per child. (µ1 = µ2 = µ3)
H02: There is significant difference in the annual dollar amounts of dental work among the 16 families. (µ1 = µ2 = µ3 = ... = µ16)
The alternative hypotheses are
H11: There is significant difference in the average annual dollar amounts of ...
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