According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the bustling town of North Arden. To test the realtor's claim, an economist has found twelve recently sold homes in Sun Beach and twelve recently sold homes in North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the twenty- four houses. Appreciation rates in percent Sun Beach 12.5, 12.2, 10.4, 12.9, 6.5, 15.0, 10.1, 10.6, 12.1, 10.8, 10.4, 9.1 North Arden 9.2, 10.7, 9.7, 7.8, 9.7, 12.1, 9.4, 6.1, 7.8, 9.3, 4.6, 11.0 Send data to calculator v Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden?

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According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the
bustling town of North Arden. To test the realtor's claim, an economist has found twelve recently sold homes in Sun Beach and twelve recently sold homes in
North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the twenty-
four houses.
Appreciation rates in percent
Sun Beach 12.5, 12.2, 10.4, 12.9, 6.5, 15.0, 10.1, 10.6, 12.1, 10.8, 10.4, 9.1
North Arden 9.2, 10.7, 9.7, 7.8, 9.7, 12.1, 9.4, 6.1, 7.8, 9.3, 4.6, 11.0
Send data to calculator v
Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level
of significance, that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
The null hypothesis:
H, :0
The alternative hypothesis:
H :0
v Degrees of
freedom:
O=0
OSO
The type of test statistic:
t
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
The p-value:
(Round to at least three
decimal places.)
Can we conclude that houses in Sun Beach have
higher appreciation over the past three years than
houses in North Arden?
O Yes
O No
olo
Transcribed Image Text:According to a high-profile realtor, houses in the sleepy town of Sun Beach have shown higher appreciation over the past three years than have houses in the bustling town of North Arden. To test the realtor's claim, an economist has found twelve recently sold homes in Sun Beach and twelve recently sold homes in North Arden that were owned for exactly three years. The following table gives the appreciation (expressed as a percentage increase) for each of the twenty- four houses. Appreciation rates in percent Sun Beach 12.5, 12.2, 10.4, 12.9, 6.5, 15.0, 10.1, 10.6, 12.1, 10.8, 10.4, 9.1 North Arden 9.2, 10.7, 9.7, 7.8, 9.7, 12.1, 9.4, 6.1, 7.8, 9.3, 4.6, 11.0 Send data to calculator v Assume that the two populations of appreciation rates are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H, :0 The alternative hypothesis: H :0 v Degrees of freedom: O=0 OSO The type of test statistic: t O<O The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we conclude that houses in Sun Beach have higher appreciation over the past three years than houses in North Arden? O Yes O No olo
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