Suppose the average size of a new house built in a certain county in 2006 was 2,195 square feet. A random sample of 25 new homes built in this county was selected in 2010. The average square footage was 2,272 with a sample standard deviation of 225 square feet. At α = 0.025, does this sample provide enough evidence to conclude that the average house size of a new home in the county has increased since 2006? Assume that the house size is approximately Normal.
Suppose the average size of a new house built in a certain county in 2006 was 2,195 square
feet. A random sample of 25 new homes built in this county was selected in 2010. The
average square footage was 2,272 with a sample standard deviation of 225 square feet. At α =
0.025, does this sample provide enough evidence to conclude that the average house size of a
new home in the county has increased since 2006? Assume that the house size is
approximately Normal.
a. State the null hypothesis and the alternate hypothesis.
b. Compute the value of test statistic.
c. Draw your conclusion using either the Critical value OR the P-value method
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I follow until degrees of freedom becomes p-value. How did we get to 0.0036?
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