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Math Help - Help with hypothesis test

  1. #1
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    Help with hypothesis test

    we are doing hypothesis testing and i am completely lost please help.

    Full time Ph.D. Students receive an average salary of $12,837 with a standard deviation of $1500 according to the U.S. Department of Education. The dean of a graduate school at a large state university feels that Ph.D. students in his state earn more than this. He surveys 44 randomly selected students and finds their average salary is $13,445. With α = 0.05, is the dean correct?
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    Junior Member autumn's Avatar
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    Quote Originally Posted by bigh77 View Post
    we are doing hypothesis testing and i am completely lost please help.

    Full time Ph.D. Students receive an average salary of $12,837 with a standard deviation of $1500 according to the U.S. Department of Education. The dean of a graduate school at a large state university feels that Ph.D. students in his state earn more than this. He surveys 44 randomly selected students and finds their average salary is $13,445. With α = 0.05, is the dean correct?
    H_0:\mu=12,837 vs. H_1:\mu>12,837

    the approximate test statistic, via the central limit theorem, is Z={13445-12837\over 1500/\sqrt{44}}

    The critcal region is (1.645,\infty)
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    MHF Contributor matheagle's Avatar
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    you go girl
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