House prices: Data from the Denver Metro Association of Realtors indicates that the mean price of a home in Denver, Colorado, in 2018 was 260.7 thousand dollars. A random sample of 98 homes sold in 2019 had a mean price of 286 thousand dollars. Can you conclude that the mean price in 2019 is greater than the mean price in 2018? Assume the population standard deviation is (r : 148. Use the a: 0.05 level of signicance and the Pvalue method with the TI84 Plus calculator. (a) State the appropriate null and alternate hypotheses. 0: H] z This hypothesis test is a righttailed Y test. | | l | | 200 250 300 350 400 It is not reasonable to assume normality because of outliers V . (9) Explain why the assumptions for the hypothesis test are satised even though the population is not normal. The assumptions are satisfied because (Choose one) Y . the outliers are not extreme the skewness is minimal the sample size is large (n > 30) SAT scores: The College Board reports that in 2018 the mean score on the math SAT was 527 and the population standard deviation was 0 : 118. A random sample of 20 students who took the test in 2019 had a mean score of 546. Following is a dotplot of the 20 scores. 0 100 200 300 400 500 600 700 800 State the null and alternate hypotheses. H0 : [j I:Il |:|=l H1 : D This hypothesis test is a (Choose one) V test