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According to Relators-R-Us, the average price per square foot of homes in western Kansas is $85...

According to Relators-R-Us, the average price per square foot of homes in western Kansas is $85 with a standard deviation of $11.24. Using recent sales figures that happened in the city of Hays, the relators wish to determine if the average price per square foot in Hays is significantly different at the 1% level. In using a collection of thirty-seven randomly homes recently sold in Hays, they found the average price of these home was at $88.25 per square foot.

A. Give the null and alternative hypotheses for this test.

B. Determine the value of the test statistic.

C. Determine the appropriate critical value(s).

D. Determine the P-value.

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