Find the z score of A time for the 100 meter sprint of 20.0 seconds at a school where the mean time for the 100 meter sprint is 17.7 seconds and the standard deviation is 2.1 seconds

Answer:1.285714

Step-by-step explanation:The formula for the z-score

z

=

x

-

μ

σ

where

z

=

z-score

μ

=

mean

σ

=

standard deviation

x

=

raw score

Given:

x

=

14.9

and

μ

=

17.6

and

σ

=

2.1

z

=

x

-

μ

σ

=

14.9

-

17.6

2.1

=

-

1.285714

z = 1.095

Step-by-step explanation:

To calculate the value of z, it is to replace in the corresponding formula:

z = (x - m) / sd

where m, which is the mean, which has the value of 17.7

x, the sample, which would be 20

and sd the standard deviation, which is equal to 2.1

Now by replacing all the values:

z = (20 - 17.7) / 2.1

z = 1.095