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Math Help - Hypothesis test for

  1. #1
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    Hypothesis test for

    Hello,
    I have this question...
    The driver of a suburu wishes to compare the fuel consumption of his car to the figure stated by the Automobile association as appropriate for his size car, which is 11.26km/L. Test whether or not his fuel consumption is worse than the recommended value for his size car.
    Here's the data for the suburu driver..
    mean = 10.10
    sd = 1.05
    n = 30

    I've written the hypotheses down... but when I come to the test statistic, I end up with the answer 6.05? Is that right? For some reason I thought it couldn't be that large?

    Thanks in advance.
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  2. #2
    MHF Contributor matheagle's Avatar
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    I get -6.051030159 and you probably should use a t density with 29 dfs.
    I don't know if we can assume normality or not.
    If you can't, then you approximate this with a standard normal via the CLT.

    Your alternative hypothesis is H_a:\mu <11.26
    Last edited by matheagle; May 17th 2009 at 10:23 PM.
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