professor has been teaching introductory statistics for many years and the final exam performance has been very

consistent from class to class and the scores have been normally distributed. Overall, the whole data base (i.e. population) of final exam scores has a mean (μ) of 20 points (out of a maximum of 30 points) and a standard deviation (σ) of 6 points. The professor would like to revise the course design to see if student performance on the final exam could be improved.

The new course design was implemented in the most recent academic year. There were 100 students and the average final exam score was 21.5. The professor would like to run a hypothesis test to see if this sample of students in the recent academic year performed significantly better than the past population. In other words, the hypothesis was a comparison between the population with new course design (represented by the sample of 100 students) with the population with the old course design.

The professor is predicting an increase of final exam score with the new design, so the hypotheses should be directional, and the test should be one-tailed. α = .05.

a. Identify the dependent variable for this study

b. Hypothesis testing is always about making inferences about the populations. The recent class of 100 is considered a sample. What is the population from which this sample has been drawn?

c. State your null hypothesis and alternative hypothesis using both words and symbol notation.

d. Calculate standard error

e. Calculate the Z statistic

f. Determine the critical value for Z. Explain how you come up with the answer.

g. Compare the Z statistic with the critical Z value, and then draw a conclusion about the result of the hypothesis test

h. Calculate the standardized effect size for this test.

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