kdeschene1
Answered

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In a normally distributed sample, 95% of people's heights are between 168 and 184 centimeters. what is the standard deviation of the sample?
A. 2
B. [tex]2\sqrt{2[
C. 4
D. 8

Sagot :

Using the Empirical Rule, it is found that the standard deviation of the sample is of:

C. 4

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, that is, between 2 standard deviations below the mean and 2 standard deviations above the mean.

95% of people's heights are between 168 and 184 centimeters, hence, there are 4 standard deviations between 168 and 184 centimeters. Then:

[tex]4s = 184 - 168[/tex]

[tex]4s = 16[/tex]

[tex]s = \frac{16}{4}[/tex]

[tex]s = 4[/tex]

Hence, option C is correct.

A similar problem is given at https://brainly.com/question/25807482

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