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.? thousand dollars. A random sample of 63 homes sold in 2019 had a mean price of 285 thousand dollars. Can you conclude that the mean price in 2019 is greater than the mean price in 3018? Assume the population standard deviation is (3 =134. Use the or = 0.05 level of significance and the PValue method with the TI84 Plus calculator. Part: 0/ 7 Part1 of? (a) State the appropriate null and alternate hypotheses. Hm |:| .. . = H1 : |_| # LL This hypothesis test is a W test. X 53 Par't:1/7 - Part20f? (b) Compute the value of the test statistic. Round the answer to two decimal places. _ X s (c) Compute the Pvalue. Round the answer to four decimal places. (d) Determine whether to reject Ho. Use the a: 0.05 level of signicance. the null hypothesis H0. (e) State a conclusion. There enough evidence to conclude that the mean price in 2019 is greater than the mean price in 2018. Parts/7 Part of? (f) Fo lowing is a boxplot of the data. Explain why it is not reasonable to assume that the population is approximately normally distributed. 300 2 0 300 350 400 u. It is not reasonable to assume normality because of outliers V l. Part:6/7 Part7of? (9) Explain why the assumptions for the hypothesis test are satisfied even though the population is not normal. The assumptions are satisfied because the sample size is large (n > 30) V |. ' X 5)