Question

Find the z-scores that separate the middle

5555%

of the distribution from the area in the tails of the standard normal distribution.

The z-scores are________

Answer #1

Find the Z-scores that separate the middle 10% of the
distribution from the area in the tails of the standard normal
distribution.

The
area between:
Z=-0.64 and Z=0.64
Z= -0.66 and Z=0
Z= -2.14 and Z= -0.74
Find the Z-scores that separate the middle 66% of the
distribution from the area in the tails of the standard normal
distribution.

What proportion of the normal distribution is located in the
middle between the z scores: z = -0.5 and z = +0.20. [1
point]
A population has a mean of μx = 100 and standard
deviation of σx = 25.
What is the proportion of scores in this population that are
lower than a score of x = 65 [1 point]
What is the proportion of scores in this population that are
greater than a score of x = 90...

The z-scores that bound the middle 44 % under the standard
normal curve are z = -a and z = a. Find the value of a.

10 In a
normal distribution find the proportion of area between the z
scores of -1.64 and 0.55.
11 In a
normal distribution find the z score(s) that cuts off the middle
70% of the scores.
If families in a small local community have annual incomes
which are normally distributed with a mean of $32,500 and a
standard deviation of $5,000, then determine the percentile rank of
a family with an income of 35,000
6
The length of time a...

4. Find each of the following
probabilities (P) for a normal distribution.
A. P (z
> -1.00)
B. P (z > -0.80)
C. P (z
< 0.25)
5. For a normal distribution, identify
the z-score value(s) that separate the area of the distribution
into sections so that there is…
A. 80% on
the right, and 20% on the left
B. 90% in
the middle, and 5% on each side
C. 95% in
the middle, and...

Use the given shaded area (0.2549) in the middle of the
standard normal distribution and the given z-score (-1.14) to find
the missing z-score. The shaded region is not symmetric about
z
=
0
z
=
0
. Round your final answer to two decimal places.
-4
-3
-2
-1
0
1
2
3
4
z
Shaded Area = 0.2549
-1.14
?
Upper z-score =

Use an appropriate normal random variable.
1. Find the value of Z such that the area to the right of the Z is
0.72.
2. The middle 99% of the standard normal distribution is contained
between -Z and Z. Find these values.
3. Suppose that the area that can be painted using a single can of
spray paint is slightly variable and follows a normal distribution
with a mean of 25 square feet and a standard deviation of 3 square...

Find the area of the shaded region. The graph depicts the
standard normal distribution of bone density scores with mean 0 and
standard deviation 1. z=0.81 and z=1.23

Transform each of the raw scores in the following hypothetical
grade distribution into z scores. Find the area in the
upper end of the z distribution for the student who got a
score of 93.
Grade
89
90
93
67
74

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