A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A real estate agent believes that the mean home price in the northern part of a county is higher than the mean
price in the southern part of the county and would like to test the claim. A simple random sample of housing
prices is taken from each region. The results are shown below.
Mean
Variance
Observations
Southern Northern
155.056 168.889
345.938 560.928
18
Pooled Variance
453.433
Hypothesized Mean Difference
df
34
1949
t Stat
P(T<=t) one-tail
p= Ex: 1.234
0.030
2.441
0.060
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
2.728
2.
Confidence Level
99%
t = Ex: 1.234
n= Ex: 9
Degrees of freedom: df =
Point estimate for the southern part of the county: 1
Ex: 1.234
Point estimate for the northern part of the county: 2
0耳_ 国
23
72°F
Transcribed Image Text:A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below. Mean Variance Observations Southern Northern 155.056 168.889 345.938 560.928 18 Pooled Variance 453.433 Hypothesized Mean Difference df 34 1949 t Stat P(T<=t) one-tail p= Ex: 1.234 0.030 2.441 0.060 t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.728 2. Confidence Level 99% t = Ex: 1.234 n= Ex: 9 Degrees of freedom: df = Point estimate for the southern part of the county: 1 Ex: 1.234 Point estimate for the northern part of the county: 2 0耳_ 国 23 72°F
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