Question

At Southern University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation of ? = 100 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. A sample of 100 applications provided a sample mean of 890. Perform the appropriate hypothesis test using ? = 0.05.

Steps for the Z test for M. (Section 9.3) 1. State the hypotheses and the meaning of . 2. Use the calculator to find the value of the test statistic Z and the p-value 3. Draw a graphs, showing 2 and the p-value. (A meal, accurate, and complete graph is required!) 4. State the conclusion and the interpretation

Answer 1

PAGE NO DATE: ③ Graph : 4 since, p-value > a=0105 fail We to reject Ho Hence, the Historical scholarship mean Scores is goo of exam

-3 -2 -1 0 1 2 3 Specify Parameters: Mean 0 SD 1 O Above 1.96 O Below O Between -1 Outside -1 and 1.96 and 1 Results: Area (probability) Recalculate 0.3173

Now form the plot, the shaded region is the area which iis nothing but p value. And the z value is -1 and 1 respectively. Since this is two sided test so the two regions are critical region