Reference no: EM131927368

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:                                                                       H_a:

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!).