Homework Help is Here – Start Your Trial Now!
Math
Statistics
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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
See similar textbooks
icon
Related questions
Question
100%

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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
SEE MORE TEXTBOOKS