Let's think about the house price. According to the Case-Shiller Home Price Indices in August 2009, Chicago and San Francisco have following sample mean and population standard deviations (the sample mean was calculated by daily base, so the sample size was 30): CHICAGO San Francisco Sample Mean 130.55 132.47 Population Standard Deviation 9 12 Using hypothesis test, prove if these house price indices are same. (Setup a hypothesis, show your works to perform the test, and state your verdict) Some people argue that San Francisco has higher house price than that of Chicago. Prove/disprove the argument using a hypothesis test. Let’s assume the population standard deviations are unknown, and the sample standard deviation of for Chicago is 9.2 and that of San Francisco is 11.5. Some people argue that San Francisco has higher variability (higher variance) in house prices than that of Chicago. Setup a hypothesis, perform the test and prove/disprove the argument.
Let's think about the house price. According to the Case-Shiller Home Price Indices in August 2009, Chicago and San Francisco have following sample mean and population standard deviations (the sample mean was calculated by daily base, so the sample size was 30): CHICAGO San Francisco Sample Mean 130.55 132.47 Population Standard Deviation 9 12 Using hypothesis test, prove if these house price indices are same. (Setup a hypothesis, show your works to perform the test, and state your verdict) Some people argue that San Francisco has higher house price than that of Chicago. Prove/disprove the argument using a hypothesis test. Let’s assume the population standard deviations are unknown, and the sample standard deviation of for Chicago is 9.2 and that of San Francisco is 11.5. Some people argue that San Francisco has higher variability (higher variance) in house prices than that of Chicago. Setup a hypothesis, perform the test and prove/disprove the argument.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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- Let's think about the house price. According to the Case-Shiller Home Price Indices in August 2009, Chicago and San Francisco have following sample mean and population standard deviations (the sample mean was calculated by daily base, so the sample size was 30):
|
|
CHICAGO |
San Francisco |
|
Sample Mean |
130.55 |
132.47 |
|
Population Standard Deviation |
9 |
12 |
- Using hypothesis test, prove if these house price indices are same. (Setup a hypothesis, show your works to perform the test, and state your verdict)
- Some people argue that San Francisco has higher house price than that of Chicago. Prove/disprove the argument using a hypothesis test.
- Let’s assume the population standard deviations are unknown, and the sample standard deviation of for Chicago is 9.2 and that of San Francisco is 11.5. Some people argue that San Francisco has higher variability (higher variance) in house prices than that of Chicago. Setup a hypothesis, perform the test and prove/disprove the argument.
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