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13 March, 16:15

The heights of the children at a summer camp are normally distributed with a mean of 54 in. and a standard deviation of 2.4 in. Enter the height of a child, whose z-score is 1.5, in the box. Round your answer to the nearest tenth.

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  1. 13 March, 18:31
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    The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean.

    1.5 x 2.4 = 3.6

    54 + 3.6 = 57.6

    Answer:

    57.6 in

    The formula is:

    x = zσ + μ

    z : z-score (1.5)

    σ : standard deviation (2.4)

    μ : mean (54)

    Answer:

    x = 57.6
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