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Math Help - hypothesis and standardized test statistic

  1. #1
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    hypothesis and standardized test statistic

    having a really hard time on this, had to miss two classes last week and now i have no idea what i'm doing. I checked my book but i think i'm missing something. can anyone help? step by step help is greatly appreciated

    A producer of various kinds of batteries has been producing "D" size batteries with a life
    expectancy of 87 hours. Due to an improved production process, management believes that there has
    been an increase in the life expectancy of their "D" size batteries. A sample of 36 batteries showed an
    average life of 88.5 hours. Assume from past information that it is known that the standard deviation of
    the population is 9 hours.
    a. Give the null and the alternative hypotheses.
    b. Compute the standardized test statistic.
    c. At 1% (α = .01) significance level test management's belief. State your conclusion
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  2. #2
    Master Of Puppets
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    I would try

    \displaystyle H_0: \mu > 87

    \displaystyle H_A: \mu \leq 87

    You have \displaystyle n=36, \mu_0 = 88.5 , \sigma = 9

    Then apply a Z-test as the standard deviation is known.

    What will your test statistic be?
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