A variablex

x

is normally distributed with mean 22 and standard deviation 3.

Round your answers to the nearest hundredth as needed.

a) Determine thez

z

-score forx

=

26

x=26

.

1. z
2. =
3. z=

b) Determine thez

z

-score forx

=

20

x=20

.

1. z
2. =
3. z=

c) What value ofx

x

has az

z

-score of2.33

2.33

?

1. x
2. =
3. x=

d) What value ofx

x

has az

z

-score of

0.3

-0.3

?

1. x
2. =
3. x=

e) What value ofx

x

has az

z

-score of0

0

?

1. x
2. =
3. x=