The U.S. Commerce Dept. is interested in the average house price of all new houses sold in the U.S. They believe that this average price is now above $195,000. They selected a random sample of 345 homes, and found their average was $201,400. Does the data support their claim? Use alpha = 0.01. Assume the standard deviation of the price of all new homes sold is $38,000.
Here are our hypotheses:
H0: mu <=7, Ha: mu > 7