You want to compare housing prices in your community (measured in thousands of dollars) to the national values of µ= 496, σ= 36.3. Recently, 4 houses on your street were sold for a mean price of 476. Report the standard error of the mean and Z in your answers to the following questions.
a. Can you conclude that the mean price of housing in your community is different from the national mean at a statistically significant level?
b. How would your conclusion from a. change if you had obtained a sample of n= 81 with a mean of 483?
c. How would your conclusion from b. change if you realized that actually σ= 96.3?
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