1. A standard final exam in an elementary statistics course is designed to produce a mean score of 75. Suppose we are interested if the average is truly 75 or if it's higher than 75. A single class is selected at random for testing. We'll perform a one-mean z-test at the 5% level in parts a) through d).
a) Problem: What are the null and alternative hypotheses for the test? Here's is the symbol for population mean that you can copy/paste as needed: µ
H0: Ha:
The data are:
79 79 78 74 82 89 74 75 78 73
74 84 82 66 84 82 82 71 72 83
Enter the data into a single column in Minitab and title the column "final_exams".
Now, assuming σ = 12 and that we have no outliers, we will test your hypothesis from a). The steps to perform a one mean z-test are as follows:
b) What are the sample mean (Mean, not SE Mean) and test statistic (Z)? What is the p-value (P)?
State whether you reject or fail to reject the null and why. Then interpret your decision: do the data provide sufficient evidence that the class is above average? (These are steps 5 and 6 of a hypothesis test!).