Question

The prices of a random sample of homes in four areas of a certain city (Areas A, B, C, and D) were recorded and the following ANOVA table was obtained, and we would like to determine whether there is a difference in the mean price of homes among these four areas of the city at the significance level of 0.1. (Round your answers to 3 decimal places, if needed.) | Source | df | SS | MS | F-Stat | P-value | | :--- | :--- | :--- | :--- | :--- | :--- | | Between Groups | 3 | 1.52 | | | 0.033 | | Within Groups | 30 | 4.58 | | | | | Total | | 6.1 | | | | (a) What is the estimate of the common standard deviation? (b) What is the value of the test statistic? (c) Which of the following is a valid conclusion for this hypothesis test at the significance level of 0.1? Select one: - There is enough evidence to conclude that the mean price of homes are the same for all four areas. - There is not enough evidence to conclude that the mean price of homes are not all the same for these four areas. - There is not enough evidence to conclude that the mean price of homes are the same for all four areas. - There is not enough information given in the question to make a conclusion. - There is enough evidence to conclude that the mean price of homes are not all the same for these four areas.

          The prices of a random sample of homes in four areas of a certain city (Areas A, B, C, and D) were recorded and the following ANOVA table was obtained, and we would like to determine whether there is a difference in the mean price of homes among these four areas of the city at the significance level of 0.1. (Round your answers to 3 decimal places, if needed.)

| Source | df | SS | MS | F-Stat | P-value |
| :--- | :--- | :--- | :--- | :--- | :--- |
| Between Groups | 3 | 1.52 | | | 0.033 |
| Within Groups | 30 | 4.58 | | | |
| Total | | 6.1 | | | |

(a) What is the estimate of the common standard deviation?

(b) What is the value of the test statistic?

(c) Which of the following is a valid conclusion for this hypothesis test at the significance level of 0.1?

Select one:
- There is enough evidence to conclude that the mean price of homes are the same for all four areas.
- There is not enough evidence to conclude that the mean price of homes are not all the same for these four areas.
- There is not enough evidence to conclude that the mean price of homes are the same for all four areas.
- There is not enough information given in the question to make a conclusion.
- There is enough evidence to conclude that the mean price of homes are not all the same for these four areas.

The prices of a random sample of homes in four areas of a certain city (Areas A, B, C, and D) were recorded and the following ANOVA table was obtained, and we would like to determine whether there is a difference in the mean price of homes among these four areas of the city at the significance level of 0.1. (Round your answers to 3 decimal places, if needed.)

| Source | df | SS | MS | F-Stat | P-value |
| :— | :— | :— | :— | :— | :— |
| Between Groups | 3 | 1.52 | | | 0.033 |
| Within Groups | 30 | 4.58 | | | |
| Total | | 6.1 | | | |

(a) What is the estimate of the common standard deviation?

(b) What is the value of the test statistic?

(c) Which of the following is a valid conclusion for this hypothesis test at the significance level of 0.1?

Select one:
- There is enough evidence to conclude that the mean price of homes are the same for all four areas.
- There is not enough evidence to conclude that the mean price of homes are not all the same for these four areas.
- There is not enough evidence to conclude that the mean price of homes are the same for all four areas.
- There is not enough information given in the question to make a conclusion.
- There is enough evidence to conclude that the mean price of homes are not all the same for these four areas.

Added by Celeste G.

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