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    Probability regarding a sample mean (central limit theorem)

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    Question: Men have hips normally dist. with a mean of 14.4 in. & s.d. of 1.0. Assume 2 male riders randomly selected. Find the probability that their mean hip width is greater than 15.5 in. Please show steps to arrive at the solution

    Also: Is the design appropriate assuming that the 2 men have a mean breadth of 16.75 inches?

    © BrainMass Inc. brainmass.com September 26, 2022, 6:23 pm ad1c9bdddf
    https://brainmass.com/statistics/central-limit-theorem/probability-regarding-sample-mean-central-limit-theorem-26787

    SOLUTION This solution is FREE courtesy of BrainMass!

    This solution finds the probability of an event related to a sample mean by applying the central limit theorem. Please see the attached Word document for solution details.

    Solution:

    If a sample of n observations is taken from a normal distribution and you want to make inferences about , the mean of those n observations, use this distribution:

    .

    First list what is given in the problems

    The question is: Find .

    IS the design appropriate assuming 2 men have a mean breadth of 16.75 inches?
    I'm not sure about this, since some of the details of the problem may have been omitted but I'm assuming you want to find .

    If the mean of the 2 men have a breadth of 16.75 inches, the sample is very unlikely to have come from a population with . We have either seen a very rare event or the true population mean is greater than 14.4.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com September 26, 2022, 6:23 pm ad1c9bdddf>
    https://brainmass.com/statistics/central-limit-theorem/probability-regarding-sample-mean-central-limit-theorem-26787

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