Answer Happy

SAT scores: The College Board reports that in 2018 the mean score on the math SAT was 527 and the population standard deviation was o=111. A random sample of 20 students who took the test in 2019 had a mean score of 545. Following is a dotplot of the 20 scores. 100 200 300 400 (a) Are the assumptions for a hypothesis test satisfied? 500 State the null and alternate hypotheses. ●●●● No, the sample size is too small and the sample does not appear to come from a population with an approximately normal distribution. Yes, the sample size is large enough to perform the test, whether or not the population is normally distributed. Ho H₁: This hypothesis test is a right-tailed ▼test. Yes, the sample size is small, but we can see that the sample seems to come from a population with an approximately normal distribution. 600 (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 = 111. Use the α = 0.10 level of significance and the P-value method with the TI-84 Plus calculator. 0#0 O<O O>O ロ=ロ 700 X μ 3 800
Compute the value of the test statistic. Round the answer to two decimal places. z = 0 P-value = 0 Compute the P-value. Round the answer to at least four decimal places. Reject x Determine whether to reject Ho. Part: 5 / 6 X State a conclusion. There is not Ś 3 the null hypothesis Ho. X 3 enough evidence to conclude that the mean score in 2019 differs from the mean score in 2018. X