Illustrate the distributions involved

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A professor was curious as to whether the students in a very large class she was teaching, who turned in their tests first, scored differently from the class mean on the test. The µ on the test was 75 with σ = 10; the scores were approximately normally distributed. The mean score for the first 20 tests was 78. Did the students turning in their tests first score significantly different from the larger mean at the .05 level?

a) Use the four steps of hypothesis testing

b) Illustrate the distributions involved

c) Calculate the 95% confidence interval (*even if nonsignificant result)

Reference no: EM132164439

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