Question Set 2: Mean Test Score A course coordinator is examining scores on an exam. In a representative sample of 35 students, the mean Test score was 87.9 points with a standard deviation of 6.8 points. A. Use Minitab Express to determine if there is evidence that the mean Test score is different from 90 points in the population of all test takers. Use the five-step hypothesis testing procedure outlined below. Remember to include all relevant Minitab Express output and to clearly identify your test statistic and p value. Do not do any hand calculations. [25 points] Step 1: Check assumptions and write hypotheses Step 2: Calculate the test statistic Step 3: Determine the p value Step 4: Decide to reject or fail to reject the null Step 5: State a “real world” conclusion B. Use Minitab Express to construct a 95% confidence interval for the mean Test score in the population. Remember to include your relevant Minitab Express output and to clearly identify your final answer. Do not do any hand calculations. [15 points] C. What minimum sample size would be necessary to construct a 95% confidence interval for the mean score with a margin of error of 1 point? You will need to do hand calculations. Show all of your work. [10 points]
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