(b) Perform a hypothesis test to determine whether you can conclude that the mean score in 2019 differs from the mean score in 2018. Assume the population standard deviation is o = 103. Use the a = 0.05 level of significance and the P-value method with the TI-84 Plus calculator. State the null and alternate hypotheses. H : 00 0=0 H, : This hypothesis test is a (Choose one) V test. X eft-tailed right-tailed two-tailedSAT scores: The College Board reports that in 2018 the mean score on the math SAT was 527 and the population standard deviation was 0 :103. A random sample of 20 students who took the test in 2019 had a mean score of 549. Following is a dotplot of the 20 scores. WWWWWWWWHHWWW O iOO 200 300 400 500 600 700 800 Height and age: Are older men shorter than younger men? According to a national report, the mean height for U.S. men is 69.4 inches. In a sample of 304 hen between the ages of 60 and 69, the mean height was ;: 68.8 inches. Public health officials want to determine whether the mean height H for older men is ess than the mean height of all adult men. Assume the population standard deviation to be 6 : 3.13. Use the (1:0,05 level of significance and the Pvalue nethod with the TI84 calculator. Part: 0 / 4 Part 1 of4 State the appropriate null and alternate hypotheses. HO |:' El: H1:|_' 'l p This hypothesis test is a test. lefttailed X b righttailed twotailed