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The average length of an adult blue whate is 30 meters with a standard deviation of 5.7 meters. If a sample of 31 whales is taken, what is the probability that their average lenght differs from the mean by more than 2.0 meters

  • staticstics -

    Use z-scores using sample size:

    z = (x - mean)/(sd/√n)

    Find two scores:

    z = (32 - 30)/(5.7/√31)
    z = (28 - 30)/(5.7/√31)

    Find the probability between the two z-scores using a z-table. Subtract that value from 1 for your answer.

    I hope this will help get you started.

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