Question

Find the z-score such that:

The area under the standard normal model to its left is 0.9412 z =

The area under the standard normal model to its right is 0.1576 z =

Answer #1

(a)

Table of Area Under Standard Normal Curve gives area from mid value to Z on either side.

The area under the standard normal model to its left is 0.9412 corresponds to area from mid value to 0.9412 - 0.5 = 0.4412 from mid value to Z on RHS.

So, Table gives Z = 1.565

So,

Answer is:

**1.565**

(b)

The area under the standard normal model to its right is 0.1576 corresponds to area from mid value to 0.5 - 0.1576 = 0.3424.

So, Table gives Z = 1.005

So,

Answer is:

**1.005**

1. Find the area under the standard normal curve to the left of
z = 1.66.
2. Find the area under the standard normal curve between z =
-1.75 and z = 0.96.
3. Find the z-score for which the area to its right is 0.67.
4. A normal population has mean 176=m and a standard deviation
.38=s What proportion of the population is more than 185?

Find the value of z if the area under a standard normal curve
(a) to the right of z is 0.3974; (b) to the left of z is 0.0918;
(c) between 0 and z, with z > 0, is 0.4783; and (d) between -z
and z, with z > 0, is 0.9412
also i think you need to use the standard normal distribution
table.

Find the indicated area under the standard normal curve.
To the left of z= -1.09 and to the right of z= 1.09
A) The total area to the left of z= −1.09 and to the right of z=
1.09 under the standard normal curve is:_______? (Round to four
deciamal places as needed).

2. a) Find the area under the standard normal curve to the right
of z = 1.5.
b) Find the area under the standard normal curve to the left of
z = 1.
c) Find the area under the standard normal curve to the left of
z = -1.25.
d) Find the area under the standard normal curve between z = -1
and z = 2.
e) Find the area under the standard normal curve between z =
-1.5 and...

find the area under the standard normal curve to the left of z =
-2.75 and to the right of 2.6. round to four decimal places.

Find the area under the standard normal curve to the left of
z=−2.83 and to the right of z=2.15. Round your answer to four
decimal places, if necessary.

Find the area under the standard normal curve to the left of
z=−2.8 and to the right of z=2.06. Round your answer to four
decimal places, if necessary.

Find the z-score for which the area to its left is 0.47.
Find the z-score for which the area to its right is 0.21.

find the area under the standard normal curve to the right z=
1
find the area under the standard normal curve to the left z=
1.25
find the value z(alfa) z0.04

Find the area under the standard normal curve to the left of
z=−1.51z=−1.51 and to the right of z=1.4z=1.4. Round your answer to
four decimal places, if necessary.

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