Question

A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?
Enter your answer rounded to the nearest hundredth, like this: 4.23

Answer 1

to calculate the z-score of some value x

z-score = (x - x̄)/σ,

where x is the value being examined, x̄ is the mean, σ is standard deviation

so in your case, x = 68, x̄ = the mean = 70.21, σ = standard deviation = 1.35

plug in the appropriate values, calculate the z-score, and round to the nearest hundredth (2 digits)

Answer 2

Thanks but whats the answer?

Answer 3

The purpose of this website is to teach, rather than to give away answers.

Can you try plugging the values into the formula I gave you?

Answer 4

Okay thank you

Answer 5

Do i multiply them together?

Answer 6

the formula I gave you:

z-score = (x - x̄)/σ

your x-value is 68, your x̄ is 70.21, your σ is 1.35

plugging them in: (68 - 70.21) / (1.35) = ?

Answer 7

-2.9835?

Answer 8

order of operations.

68 - 70.21 = -2.21

-2.21 divided by 1.35 ---> -1.64

Answer 9

-3.277

Answer 10

(68 - 70.21) / (1.35) = -1.64 = your solution

Answer 11

1.34

Answer 12

this is the z-score formula

z-score = (x - x̄)/σ

you want the z-score of a high schooler who is 68 inches tall, so x = 68

the mean x̄ is 70.21 inches

the standard deviation σ is 1.35

when you plug these into the formula, you get (68 - 70.21) / (1.35) = -1.64, that's it, that's your solution.

Answer 13

ooh -1.64 is my solution? Thank you

Answer 14

Nope its the wrong answer