[See Steps] A Realtor wishes to assess whether a difference exists, at a significance level of 0.05, between home prices in three subdivisions. Independent
Question: (17 points) A Realtor wishes to assess whether a difference exists, at a significance level of 0.05, between home prices in three subdivisions. Independent samples of homes from each of the three subdivisions – 18 homes in total - are obtained and their prices are recorded. The analysis of variance results for comparing these prices is started below.
| SOURCE | SUM OF SQUARES | DF | MEAN SQUARE | F |
| Groups | 157.44 | ______ | _________ | ________ |
| Error | 253.50 | ______ | _________ | |
| Total | 410.94 | ______ |
- What are the null and alternative hypotheses that we need to test?
- Complete the blanks in the table.
- What is the value of the estimate of the common population standard deviation of the populations of home prices in the three subdivisions?
- What is your estimate of the P -value for this F test?
- What is our conclusion for the hypothesis test?
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