Students believe that Professor A has a lower class mean exam score than Professor B. To test this claim, 40 randomly chosen exams were selected from professor A and 26 exams were randomly selected from Professor B. Professor A had a sample mean of 80 with a sample standard deviation of 10. Professor B had a sample mean of 86 with a standard deviation of 14. Assume the exam scores are normally distributed for both professors.
Use the PHANTOMS steps to test the hypothesis that Professor A has a lower exam mean than Professor B. Use a 0.05 level of significance.
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