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Math Help - Statistics Probability Question - Work Shown

  1. #1
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    Statistics Probability Question - Work Shown

    Assume that the population of men's weights are normally distributed with a mean of 172 lbs and a standard deviation of 29lbs. 36 men are randomly selected. What is the probability that their MEAN weight is less than 167lbs?

    Is my answer right? Thanks.


    My work:

    z = (167-172) / (29 / square root of (36)) = -1.03

    z = -1.03 =======> standard z scare table area is .3485

    P ( mean weight less than 167) = .5000 - .3485 = .1515 = 15.15%
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  2. #2
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    Quote Originally Posted by funnyname7 View Post
    Assume that the population of men's weights are normally distributed with a mean of 172 lbs and a standard deviation of 29lbs. 36 men are randomly selected. What is the probability that their MEAN weight is less than 167lbs?

    Is my answer right? Thanks.


    My work:

    z = (167-172) / (29 / square root of (36)) = -1.03

    z = -1.03 =======> standard z scare table area is .3485

    P ( mean weight less than 167) = .5000 - .3485 = .1515 = 15.15%
    Yes, I believe it is.
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