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9 February, 08:48

Use technology or a z-score table to answer the question.

The number of huckleberries picked during a huckleberry contest are normally distributed with a mean of 300 and a standard deviation of 53. Jill picked 276 huckleberries in the contest.

What percent of huckleberry pickers picked less than Jill?

Round your answer to the nearest whole number.

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Answers (1)
  1. 9 February, 09:06
    0
    The z-score is given by:

    z = (x-μ) / σ

    where:

    μ is the mean

    σ is the standard deviation

    from the question:

    x=276

    μ=300

    σ=53

    substituting the value in our formula we get:

    z = (276-300) / 53

    z=-0.453

    the probability associated with this z-score is 0.3264~32.64%

    thus the percentage pickers that picked less than Jill is 32.64%~33%
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