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Math Help - Hypothesis testing 1 poplulation mean

  1. #1
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    Hypothesis testing 1 poplulation mean

    Hi im new here so
    I am getting trouble with this question, here it is:

    An advertisement for a certain model of mobled phones promised that it allowed '3.5 hours talk time'.A random sample of 8 phones of this type was tested of talk time, x hours, available were as follows:

    3.4,3.7,3.1,3.2,3.6,3.5,3.3,3.4
    {sum of x=27.2, sum of x sqrd = 92.76}

    Carry out a test, at the 5% significance level, to examine whether the advertisement was overstating the length of talk time available from the phone.

    "I got Ps= 3.4 so how do you get Q, i know that Q=1-P, but you will get a -ve!
    Thanks
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  2. #2
    MHF Contributor matheagle's Avatar
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    I'm not sure what you mean by p and q.
    This seems to be a straightforward one sample t-test.

    You want to prove H_a: \mu<  3.5 and by default H_0: \mu=  3.5.

    Get \bar X and S^2.

    Your test stat is {\bar X-3.5\over S/\sqrt{n}}

    and your rejection region is (-\infty, -t_{n-1,\alpha}).
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  3. #3
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    Ans

    Solution
    I did something
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  4. #4
    MHF Contributor matheagle's Avatar
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    I didn't check your math.
    But one error is your \mu's.
    There's only one mean, so under H_a it's just \mu and not \mu_1.
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