Question

The measurement of the height of 600 students of a college is normally distributed with a mean of 175 centimeters and a standard deviation of 5 centimeters.

What percent of students are less than 170 cm in height?
a.
0.5
c.
15.5
b.
2.0
d.
16.0

Answer 1

what process comes to mind?

Answer 2

idk elimination

Answer 3

is it standard deviation from the mean---the bell curve
\[sd\pm mean\]

Answer 4

your asking a stats question, not a system of equations question :/

Answer 5

you might want to go read over your material to get some sort of foundational understanding of this .....

Answer 6

.. and it looks like they are using the empirical rule in the solution process as opposed to something more exacting.

Answer 7

well i looked over and still dont get it

Answer 8

Well I would suggest using a z-scores. You want to know P(x<170), right?

Answer 9

@baseballer20142

Answer 10

right

Answer 11

Ok so let's convert the x<170 into a z score so that we can find P(z<something) and we can use a chart or you calculator to look up the probability.

Answer 12

so how do we turn 170 into a z-score?

Answer 13

flipped it idk

Answer 14

Come on in your book there is a formula that involves z, \[ \mu\] and \[ \sigma \] and probably x. You need to find that formula.

Answer 15

If you look in the index for z-score it will probably direct you to a page.

Answer 16

it might be called standard score these days ....

Answer 17

lol, under standard score mine says: see z score

Answer 18

@baseballer20142 DO you want help or just an answer?

Answer 19

its normal distribution stuff and the answer please

Answer 20

Ok then you are on the wrong website. This is for studying and learning not just getting answers. I would be happy to help you, but you need to participate in your learning...not just be spoon fed answers.

Answer 21

This problem is not terribly hard but you need to find the formula for converting into z scores.

Answer 22

@baseballer20142 ??