Sample size problems: Just state the minimum sample size Confidence intervals: state your result is a sentence, like "we are 95% confident that ? Is between blank and blank " Hypothesis tests: perform the appropriate hypothesis test, including all 5 steps. 1. Ho & H1 2. a= 3. Test 4. Test statistic and p-value 5. Decision about H0/ conclusion about H1 If the necessary conditions are not let, use the appropriate alternative test. 1. One Proportion- Binomial 2. Two proportion- randomization test for two proportions 3. One mean - sign test 4. Paired difference- Wilcoxon Signed Ranks 5. Two mean test- Mann Whitney 6. Anova- Kruskal Wallis 19) Here are the scores of eight Math 21 students on their midterm exam and their final exam. STUDENT 1, 2, 3, 4, 5, 6, 7, 8 MIDTERM 74, 66, 80, 75, 90, 78, 71, 88 FINAL 83, 72, 95, 85, 95, 89, 80, 96 Use the 0.05 level of significance to test the claim that math 21 students improve their scores from the midterm exam to the final exam