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puteri [66]
3 years ago
13

A supervisor finds the mean number of miles that the employees in a department live from work. He finds x=29 and s=3.6 . Which s

tatement must be true?
z37 is within 1 standard deviation of the mean.
z37 is between 1 and 2 standard deviations of the mean.
z37 is between 2 and 3 standard deviations of the mean.
z37 is more than 3 standard deviations of the mean.
Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

Option 3 is right

z37 is between 2 and 3 standard deviations of the mean.

Step-by-step explanation:

Let X be a random variable which represents the mean number of miles that the employees in a department live from work

X is normal (N(29,3.6)

WE have to find Z score for X

Z =\frac{x-29}{3.6}

=2.22

i.e. 37 is 2.22 std deviations from the mean.

In other words, z37 is between 2 and 3 standard deviations of the mean.

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I'm pretty sure you are asking for the value of b. Let's actually write it and then solve it:
10^2 + b^2 = 22^2

Solving for b yields:
b = \sqrt{22^2-10^2} = \sqrt{484-100} = \sqrt{384} = 19.59

So, b = 19.59. If you want the answer in simplified radical form, we can also do that:
\sqrt{384} =  \sqrt{16*24} = 4 \sqrt{24} = 4 \sqrt{4*6} = 8 \sqrt{6}

So, b = 8√6 = 19.59
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Answer:

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