Question

**1. The area under the normal curve between the mean and
a score for which z=1.75 is**

Group of answer choices

**.0486**

**.4599**

**.4761**

**.0514**

**.5430**

**2. In a normal distribution, the fraction of scores that
lie between z= -.40 and 1.20 is**

Group of answer choices

**.5403**

**.1151**

**.3446**

**.2295**

**.6151**

Answer #1

**1. The area under the
normal curve between the mean and a score for which z=1.75
is**

Here, we have to find P(0<Z<1.75) = P(Z<1.75) – P(Z<0)

P(0<Z<1.75) = P(Z<1.75) – P(Z<0)

P(0<Z<1.75) = 0.959941 - 0.5

(by using z-table)

P(0<Z<1.75) = 0.459941

**Answer:** **0.4599**

**2. In a normal
distribution, the fraction of scores that lie between z= -.40 and
1.20 is**

P(-0.40<Z<1.20) = P(Z<1.20) – P(Z<-0.40)

P(-0.40<Z<1.20) = 0.88493 - 0.344578

(by using z-table)

P(-0.40<Z<1.20) = 0.540352

**Answer: 0.5403**

1. The area under the normal curve between the mean and
a score for which z= - 1.20 is
Group of answer choices
.3862
.3849
.2563
.1138
.7563
2. The area under the normal curve above the score for
z= 1.10 is
Group of answer choices
.8643
.6357
.3643
.4310
.1357

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?

1. What proportion of scores in a normal distribution lie
between the mean and a z-score of -0.44?
2. What proportion of scores in a normal distribution are
greater than or equal to a z-score of -2.31?

The values of z-score are given.
1a.) Find the area under the normal curve to the right of
z = -0.86. Round the answer to four decimal places.
The area under the normal curve to the right of z =
-0.86 is ____.
1c.) Find the area under the normal curve between z =
-0.32 and z = 0.92. Round the answer to four decimal
places.
The area under the normal curve between z = -0.32 and
z = 0.92...

1)
a) Find the area under the Standard Normal Curve in-between z =
-0.59 and z = 2.86
Use the Normal table and give answer using 4 decimal places.
b) Find the area under the Standard Normal Curve in-between z =
-0.36 and z = 2.63
Use the Normal table and give answer using 4 decimal places.
c) Find P(z < 1.75)
Use the Normal table and give answer using 4 decimal places.

20. The area under the normal curve between Z = -1and Z = -2 is
________________ the area under the normal curve between Z =1 and Z
= 2.
A. Less than
B. Greater than
C. Equal to
D. A, B or C above dependent on the value of the mean
E. A, B or C above dependent on the value of the standard
deviation

1. About ____ % of the area under the curve of the standard
normal distribution is between z = − 1.863 z = - 1.863 and z =
1.863 z = 1.863 (or within 1.863 standard deviations of the
mean).
2. About ____ % of the area under the curve of the standard
normal distribution is outside the interval
z=[−2.24,2.24]z=[-2.24,2.24] (or beyond 2.24 standard deviations of
the mean).
3. About ____ % of the area under the curve of the...

(a)Find the area under the standard normal curve that lies
outside the interval between =z−1.73 and =z1.99.
(b)Find the area under the standard normal curve that lies
outside the interval between =z−1.75 and =z0.99.
(c)Find the area under the standard normal curve that lies
outside the interval between =z0.89 and =z1.41.
(d)Find the area under the standard normal curve that lies
outside the interval between =z−1.80 and =z−1.33.

Determine the area under the standard curve that lies between z
= -2 and z = -0.3
Group of answer choices

Use a table of cumulative areas under the normal curve to find
the z-score that corresponds to the given cumulative area. If the
area is not in the table, use the entry closest to the area. If
the area is halfway between two entries, use the z-score halfway
between the corresponding z-scores. If convenient, use technology
to find the z-score. .051

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