The average price per square foot for a home in a large county in a certain state is $225. The council of a country town wonders if the mean price of the homes in their town is less than the mean price of the homes in the county. The town counc selected a random sample of 9 homes that have recently sold in their town. They ound the price per square foot and want to perform a hypothesis test at the x= 0.05 significance level. The data is listed below. 221.4 213.1 219.1 229.6 220.7 224.4 221.6 217.8 223.9 1. Calculate the test statistic and the P-value. 2. What is the decision at the given significance level? 3. What do you conclude?

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There are 3 parts to this question!! Answer each part in a separate blank!
The average price per square foot for a home in a large county in a certain state is
$225. The council of a country town wonders if the mean price of the homes in
their town is less than the mean price of the homes in the county. The town council
selected a random sample of 9 homes that have recently sold in their town. They
found the price per square foot and want to perform a hypothesis test at the
0. 05 significance level. The data is listed below.
221.4
213.1
219.1
229.6 220.7
224.4
221.6
217.8
223.9
1. Calculate the test statistic and the P-value.
2. What is the decision at the given significance level?
3. What do you conclude?
Transcribed Image Text:There are 3 parts to this question!! Answer each part in a separate blank! The average price per square foot for a home in a large county in a certain state is $225. The council of a country town wonders if the mean price of the homes in their town is less than the mean price of the homes in the county. The town council selected a random sample of 9 homes that have recently sold in their town. They found the price per square foot and want to perform a hypothesis test at the 0. 05 significance level. The data is listed below. 221.4 213.1 219.1 229.6 220.7 224.4 221.6 217.8 223.9 1. Calculate the test statistic and the P-value. 2. What is the decision at the given significance level? 3. What do you conclude?
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