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AfilCa [17]
3 years ago
13

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.
Mathematics
1 answer:
Andreyy893 years ago
6 0
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. 

<span>1.5 x 2.4 = 3.6 </span>
<span>54 + 3.6 = 57.6 </span>

<span>Answer: </span>
<span>57.6 in </span>

<span>The formula is: </span>
<span>x = zσ + μ </span>

<span>z : z-score (1.5) </span>
<span>σ : standard deviation (2.4) </span>
<span>μ : mean (54) </span>

<span>Answer: </span>
<span>x = 57.6</span>
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