Question

Find the percentage of measurements (area %) in a normal distribution (N > 5,000) that fall:

a. Between the mean and a Z score of −0.55.

b. Between a Z score of -0.55 and +0.55.

c. Less than -0.25 and greater than +0.55.

Answer #1

Find the percentage of the area under a normal curve between the
mean and the given number of standard deviations from the mean. -
0.43
Can you explain how to get the z-score?

For a normal distribution, find a) the percentage of data that
is greater than 3 standard deviations above the mean and b) the
percentage of data that is less than 2 standard deviations below
the mean.

1.
One hundred percent of scores fall under the area of the normal
curve.
true
false
2. A z score tells nothing about the distance of a score from
the mean.
true
false
3. A z score does NOT allow for the comparison of different
scores from different distributions
true
false
4. A number whose z score is equal to zero is equal to the
mean.
true
false
5. Which of the following is not a characteristic of the
normal...

1. If random variable X follows a Normal probability
distribution, a negative Z score means
(a) The value of X is negative
(b) The value of X is less than the mean
(c) The value of X is greater than the mean
(d) the correlation between X and Z is negative
(e) none of the above.
2. Which of the following statements is not true about the
Normal Curve
(a) The total area under the Normal Curve is 1.
(b)...

17)Draw the standard normal distribution. Shade the area to the
between of -2.68 and 1.49. Find the shaded area.
18)Draw the standard normal distribution. Shade the area to the
left of the z-score is 0.907. Find the z-score.

Q1-. A normal distribution has a mean of 15 and a standard
deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
Q2-.Tyrell's SAT math score was in the 64th percentile. If all
SAT math scores are normally distributed with a mean of 500 and a
standard deviation of 100, what is Tyrell's math score? Round your
answer to the nearest whole number.
Q3-.Find the z-score that cuts off an area...

Given a standardized normal
distribution (with a mean of 0 and a standard deviation of 1) what
is the probability that
Z is between -1.23 and 1.64
Z Is less than -1.27 or greater than 1.74
For normal data with values symmetrically distributed around
the mean find the z values that contain 95% of the data
Find the value of z such that area to the right is 2.5% of the
total area under the normal curve

For
Questions 6 - 8, let the random variable X follow a Normal
distribution with variance σ2 = 625.
Q6. A random sample of n = 50 is obtained with a sample mean, X-Bar
of 180.
What is
the probability that population mean μ is greater than 190?
a.
What is Z-Score for μ greater than 190 ==>
b.
P[Z > Z-Score] ==>
Q7. What
is the probability that μ is between 198 and 211?
a. What
is Z-Score1 for...

A normal distribution has μ = 32 and σ =
5.
(a) Find the z score corresponding to
x = 27.
(b) Find the z score corresponding to
x = 44.
(c) Find the raw score corresponding to
z = −3.
(d) Find the raw score corresponding to
z = 1.9.
(e)Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Round your answer
to four decimal places.)
The area between
z =...

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...

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