Question

A distribution with a mean of µ = 73 and a standard deviation of σ = 8 is being transformed into a standardized distribution of µ = 100 and σ = 16. Find the new, standardized score for each of the following values from the original population (plot each point on a graph):

a. X = 80 b. X = 70

c. X = 65 d. X = 87

Answer #1

a population with a mean of 65 and a standard deviation of 6 is
being standardized to produce a set of scores with a mean of 50 and
a new standard deviation of 10. find the new standardized values
for each of the following scores from the original distribution
68,59,77,56

8. A random sample is obtained from a
normal population with a mean of µ = 80 and a standard deviation of
σ = 8. Which of the following outcomes is more likely? Explain your
answer.
A. A
sample mean greater than 86 for a sample of n = 4 scores.
B. A
sample mean greater than 84 for a sample of n = 16 scores.
9. The distribution of SAT scores is
normal with a mean of...

IQ scores are standardized to produce a normal distribution with
a mean of µ = 100 and a standard deviation of σ = 15. Find the
proportion of the population in the following IQ category: IQ
greater than 160. The proportion is Group of answer choices .0039
.49997 .008 .00003

Suppose x has a normal distribution with mean μ = 45 and
standard deviation σ = 10.
Describe the distribution of x values for sample size n = 4.
(Round σx to two decimal places.)
μx =
σx =
Describe the distribution of x values for sample size n = 16.
(Round σx to two decimal places.)
μx =
σx =
Describe the distribution of x values for sample size n = 100.
(Round σx to two decimal places.)
μx...

a population of scores with μ=73 and σ=6 is standardized to
create a new population with μ=50 and σ=10. What is the new value
for each of the following scores from the original population ?
scores: 67,70,79,82

Given a population with a mean of µ = 230 and a standard
deviation σ = 35, assume the central limit theorem applies when the
sample size is n ≥ 25. A random sample of size n = 185 is obtained.
Calculate σx⎯⎯

Given a normal distribution with mean of 100 and standard
deviation of 10, what is the probability that:
a. X > 80?
b. X < 65?
c. X < 75 or X > 90?
d. Between what two X values (symmetrically distributed around
the mean) are ninety percent of the values

Considering a graphed pdf for a continuous normal distribution
with mean μ and standard deviation σ, which of the following are
true?
Select one or more:
a. If the mean is zero then the pdf of the normal distribution
and standardised normal distribution will be the same
b. A distribution with a lower σ will have an increased
P(X=μ)
c. A combination of adding constants to and multiplying each
term in the sample space will affect the skewness of the...

Assume that a random variable is normally distributed with a
mean of µ = 50 and a standard deviation σ = 5, convert the
following values to z scores:
X = 35
X = 40
X = 45
X = 50
X = 55
X = 60
X = 65
What is your observation about z values? Based on your
observation how would you interpret z?
Sketch a graph for the standard normal distribution. Label the
horizontal axis with your...

A population has a mean of 75 and a standard deviation of 32.
Suppose a random sample size of 80 will be taken.
1. What are the expected value and the standard deviation of the
sample mean x ̅?
2. Describe the probability distribution to x ̅. Draw a graph of
this probability distribution of x ̅ with its mean and standard
deviation.
3. What is the probability that the sample mean is greater than
85? What is the probability...

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