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Math Help - Hypothesis testing

  1. #1
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    Hypothesis testing

    It may be assumed that the length of nails produced by a particular machine is a normally distributed random variable with standard deviaiton 0.02cm. The lengths of a random sample of 5 nails are 1.14cm, 1.15cm, 1.14cm, 1.12cm and 1.16cm.
    a) Test, at the 5% significance level, the hypothesis that the machine produces nails with a mean length of 1.12cm.
    b) Find the probability of committing a Type II error when the true mean length is 1.14cm.

    For a), I said that it was two-sided, with:
    Null hypothesis H0: mu=1.12, Alternative hypothesis H1: mu is not equal to 1.12. Is this correct?

    For b), I know that P(Type II error)= 1 - Power, where Power= Pr(Null hypothesis is rejected). What I was confused about was whether the test was one-sided or two-sided, and how this would affect calculating the probability of a type II error.

    Any help would be appreciated
    Last edited by sakuraxkisu; February 18th 2013 at 07:53 AM.
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  2. #2
    MHF Contributor
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    Re: Hypothesis testing

    Hey sakuraxkisu.

    For your answers can you show us your test-statistic, the distribution you are using, and the p-values generated please?
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