A psychology professor of a large class became curious as to whether the students who turned in tests first scored differently from the overall mean on the test. The overall mean score on the test was 75 with a standard deviation of 10; the scores were approximately normally distributed. The mean score for the first 20 students to turn in tests was 78. Using the .05 significance level, was the average test score earned by the first 20 students to turn in their tests significantly different from the overall mean?

a. Use the five steps of hypothesis testing.

Step one states that we are to "Restate the question as a research hypothesis and a null hypothesis about the populations"

Does this mean that we must restate as

Population 1:

and Population 2:

and in then insert the null and research hypothesis as symbols?

or can this also merely be worded as:

Null Hypothesis: The mean test score for those who first turned in their tests = overall test score

research hypothesis: The mean test score for the students who turned in first overall test score