A professor was curious as to whether the students in a very
large class she was...
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A professor was curious as to whether the students in a verylarge class she was teaching, who turned in their tests first,scored differently from the class mean on the test. The μ on thetest was 75 with σ = 10; the scores were approximately normallydistributed. The mean score for the first 20 tests was 78. Did thestudents turning in their tests first score significantly differentfrom the larger mean at the .05 level?
a) Use the four steps of hypothesis testing b) Illustrate thedistributions involved
c) Calculate the 95% confidence interval (*even if nsresult)
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Part a To Test H0 75 H1 75 Part b We will use Z test because is known Test Statistic Z X n Z 78 75 10 20 Z 13416 Test Criteria Reject null hypothesis if Z Z 2 Critical
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