Question #58874

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Question #58874

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Answer 1 · 2017-06-11T02:28:52

$.6826 \times 500 = 341.3$ $.6826xx500=341.3$ Or about $342$ $342$ students

Explanation:

The question requires z-scores.

The formula is:

$z = \frac{x - μ}{σ}$ $z=(x-mu)/sigma$

Where $x =$ $x=$ the given value
$μ =$ $mu=$ the mean
$σ =$ $sigma=$ the standard deviation

Or

$z = \frac{your value - the actual mean}{S D}$ $z=("your value " - " the actual mean")/(SD)$

This is a bit easier to remember :)
(SD=Standard Deviation)

Plug in the values:

$z = \frac{76 - 82}{6}$ $z=(76-82)/(6)$ $&$ $&$ $z = \frac{88 - 82}{6}$ $z=(88-82)/(6)$

$z = - 1$ $z=-1$ $&$ $&$ $z = 1$ $z=1$

Now you look up the probability that corresponds to the $z$ $z$ score in the table. (Which you should be provided with.)
The probability that corresponds to each $z$ $z$ score respectfully is $.1587$ $.1587$ $&$ $&$ $.8413$ $.8413$

You subtract $.8413$ $.8413$ from $.1587$ $.1587$ because we want to find out the scores in between these two.
Which is $.6826$ $.6826$
All you have to do now is multiply by $500$ $500$ .

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Question #58874

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