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 three areas of the city at the significance level of 0.05. (Round your answers to 3 decimal places, if needed.) P- Source df ss MS F-Stat value Between Groups Within Groups Total 3 1.48 0.038 30 4.65 6.13 (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 0.05? Select one: There is not enough evidence to conclude that the mean price of homes are the same for all three areas. O There is enough evidence to conclude that the mean price of homes are the same for all three areas. O There is not enough information given in the question to make a conclusion. O There is not enough evidence to conclude that the mean price of homes are not all the same for these three areas. O There is enough evidence to conclude that the mean price of homes are not all the same for these three areas.

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answer a b c

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 three areas of the city at the significance level of 0.05. (Round your answers
to 3 decimal places, if needed.)
P-
MS F-Stat
value
Source
df s
Between
Groups
Within
Groups
Total
3
1.48
0.038
30
4.65
6.13
(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 0.05?
Select one:
There is not enough evidence to conclude that the mean price of homes are the same for all three areas.
O There is enough evidence to conclude that the mean price of homes are the same for all three areas.
O There is not enough information given in the question to make a conclusion.
O There is not enough evidence to conclude that the mean price of homes are not all the same for these
three areas.
O There is enough evidence to conclude that the mean price of homes are not all the same for these three
areas.
Transcribed Image Text: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 three areas of the city at the significance level of 0.05. (Round your answers to 3 decimal places, if needed.) P- MS F-Stat value Source df s Between Groups Within Groups Total 3 1.48 0.038 30 4.65 6.13 (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 0.05? Select one: There is not enough evidence to conclude that the mean price of homes are the same for all three areas. O There is enough evidence to conclude that the mean price of homes are the same for all three areas. O There is not enough information given in the question to make a conclusion. O There is not enough evidence to conclude that the mean price of homes are not all the same for these three areas. O There is enough evidence to conclude that the mean price of homes are not all the same for these three areas.
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