A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level.

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A professor is concerned that the two sections of college
algebra that he teaches are not performing at the same level. To
test his claim, he looks at the mean test score for a random sample
of students from each of his classes. In Class 1, the mean test
score for 18 students is 81.1 with a standard deviation
of 3.5 . In Class 2, the mean test score for 11 students
is 76.3 with a standard deviation of 6.6 . Test the
professor’s claim at the 0.05 level of significance. Assume
that both populations are approximately normal and that the
population variances are equal. Let Class 1 be Population 1 and let
Class 2 be Population 2.
Step 1 of 3: State the null and alternative hypotheses for the
test. Fill in the blank below.
H0: μ1=μ2 Ha:μ1⎯⎯⎯⎯μ2
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.