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Math Help - 0.05 Level of Significance

  1. #1
    Newbie depaulie10's Avatar
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    0.05 Level of Significance

    This is the exercise:

    The owner of a gas station wants to study gasoline purchasing habits by motorists at his station. He selects a random sample of 60 motorists during a certain week and the results were: Mean amount purchased X-bar = 11.3 gallons with std dev s=3.1.
    At the 0.05 level of significance, is there evidence that the population mean purchased was different from 10 gallons? Find the confidence level and p-value at this level.
    Did I set it up right.. Z = (10-11.3) / 3.1 = -0.42 ?
    Thanks in advance.
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  2. #2
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    The top should be 11.3-10 and your denominator should be 3.1/(sqrt(60)). This is your critical value and the two-sided p-value is 2*P(Z>Zcrit).
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