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Math Help - Level of significance without mean given

  1. #1
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    Level of significance without mean given

    Hi, i can't remember how to do this problem and i have been having trouble finding an answer.

    The question is "An SRS of size 15 is taken from a normal distribution with standard deviation of 2. It is decided to test H0:u=20 versus H1=u<20. Whats the critical value at a 5% level of significance"

    Also "the value of the test statistic for the sample is -1.62 then the p value for the test is ..."

    I know the answers are -1.645 and 0.0526 respectivley. Can anyone help me out?
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  2. #2
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    Quote Originally Posted by Alex103 View Post
    Hi, i can't remember how to do this problem and i have been having trouble finding an answer.

    The question is "An SRS of size 15 is taken from a normal distribution with standard deviation of 2. It is decided to test H0:u=20 versus H1=u<20. Whats the critical value at a 5% level of significance"

    Mr F says: One sided test therefore the critical value is found from {\color{red}\Pr(Z < z_{0.05}) = 0.05 \Rightarrow z_{0.05} = -1.645}.

    Also "the value of the test statistic for the sample is -1.62 then the p value for the test is ..."

    Mr F says: p-value = Pr(Z < -1.62) = 0.0526.

    I know the answers are -1.645 and 0.0526 respectivley. Can anyone help me out?
    ..
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  3. #3
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    Hi, yeah i already figured it out but thanks anyway lol. My brain wasnt working that day.
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