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Math Help - Calculating probability of tye 1 error

  1. #1
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    Calculating probability of tye 1 error

    Hi,
    im new

    basically a question says
    a sample of 36 parachutes were tested for quality control purpose and their opening altitude is recorded. a statician analysing the data wishes to test the null hypothesis against . He dicides on the following criteria:
    Accept if the sample mean is less than or equal to 210m
    Reject if the sample mean is more that 210m

    (i) find the probability of making a type I error

    can some one help me out please? i thought the prob of type I error was = significance level, but that doesn't seem to be given.

    oh yh, mean is 200 and standard deviation is 30
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  2. #2
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    Quote Originally Posted by Ibn Abi Talib View Post
    Hi,
    im new

    basically a question says
    a sample of 36 parachutes were tested for quality control purpose and their opening altitude is recorded. a statician analysing the data wishes to test the null hypothesis against . He dicides on the following criteria:
    Accept if the sample mean is less than or equal to 210m
    Reject if the sample mean is more that 210m

    (i) find the probability of making a type I error

    can some one help me out please? i thought the prob of type I error was = significance level, but that doesn't seem to be given.

    oh yh, mean is 200 and standard deviation is 30
    Calculate \Pr(\text{Reject} \, H_0 \, | \, H_0 \, \text{true}) = \Pr \left(\overline{X} > 210 \, | \, \overline{X} {\color{white}\frac{.}{.}}\right.~ Normal \left. \left(\mu_{\overline{X}} = 200, \sigma_{\overline{X}} = \frac{30}{\sqrt{36}} = 5\right) \right).

    Aside: The answer tells you what significance level the statistician is using.
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