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 eleven recently sold homes in Sun Beach and eleven 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-two houses. Appreciation rates in percent Sun Beach 12.2, 11.3, 8.1, 8.1, 10.0, 12.6, 11.6, 11.3, 12.0, 9.5, 11.7 North Arden 8.4, 9.2, 9.8, 7.5, 10.9, 3.2, 13.8, 9.0, 8.7, 8.7, 4.6 Send data to calculator Send data to Excel 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 the mean appreciation rate of houses in Sun Beach, pu,, is higher than u, the mean appreciation rate of houses in North Arden?

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Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

 

(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) Can we conclude that the mean appreciation rate of houses in Sun Beach, 
μ1
, is higher than 
μ2
, the mean appreciation rate of houses in North Arden?
 
Yes 
 
No
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 eleven recently sold homes in Sun Beach and eleven 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-two
houses.
Appreciation rates in percent
Sun Beach 12.2, 11.3, 8.1, 8.1, 10.0, 12.6, 11.6, 11.3, 12.0, 9.5, 11.7
North Arden 8.4, 9.2, 9.8, 7.5, 10.9, 3.2, 13.8, 9.0, 8.7, 8.7, 4.6
Send data to calculator
Send data to Excel
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 the mean appreciation rate of houses in Sun Beach, u1, is higher than u,, the mean appreciation rate of houses in North Arden?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of
formulas.)
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 eleven recently sold homes in Sun Beach and eleven 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-two houses. Appreciation rates in percent Sun Beach 12.2, 11.3, 8.1, 8.1, 10.0, 12.6, 11.6, 11.3, 12.0, 9.5, 11.7 North Arden 8.4, 9.2, 9.8, 7.5, 10.9, 3.2, 13.8, 9.0, 8.7, 8.7, 4.6 Send data to calculator Send data to Excel 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 the mean appreciation rate of houses in Sun Beach, u1, is higher than u,, the mean appreciation rate of houses in North Arden? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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