the mean square area of several thousand apartments in a new development is advertised to be 1200 square feet. a tenant group thinks the apartments are smaller, on average, than advertised. the result of sampling 9 apartments yields a sample mean of x=1160 and sample standard deviation s = 120 feet. the histogram shows that the sampling distribution is approximately normal.) carry out the hypothesis test at significance level 0.01 via the following: state the null and alternative hypotheses, derive the test statistic, and state a conclusion in real world terms. (you can use the fact that the area to the left of -2.8965 is 1%, using the t distribution with 8 df)