Question

A normal distribution has a mean of 60 and a standard deviation of 16. For each of the following scores, indicate whether the body is to the right or the left of the score and find the proportion of the distribution located in the body X = 64 X = 80 X = 52 X = 28

Answer #1

For a normal distribution with a mean of u = 60 and a standard
deviation of o = 10,
find the proportion of the population corresponding to each of
the following.
a. Scores greater than 65.
b. Scores less than 68.
c. Scores between 50 and 70.

Let X have a normal distribution with a mean of 23 and a
standard deviation of 5. Find P(X < 9 or X > 21) in the
following steps
(a) What region of the normal distribution are you looking to
find the area of? (to the left of a zscore, to the right of a
z-score, between two z-scores, or to the left of one z-score and to
the right of another z-score)
(b) Calculate the z-score(s) needed to find...

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...

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...

1. Let the mean be 100 and the standard deviation be 15 for the
normal distribution for adult IQs in North Carolina.
a. Use the empirical rule to find what proportion of the data is
located between 85 and 115.
b. How about 100 and 130?
c. Find the z-score for the following data points and explain
what these mean: i. x = 80 ii. x = 109

A normal distribution of scores has a standard deviation of 10.
Find the z-scores corresponding to each of the following
values:
A score that is 20 points above the mean.
A score that is 10 points below the mean.
A score that is 15 points above the mean
A score that is 30 points below the mean.

6.A population has a mean of μ = 60 and a standard deviation
of σ = 12.
a.For the population, find the z-score for each of the
following X values.
X = 69: z =_____X = 84: z =_____X = 63: z =_____
X = 54: z =_____X = 48: z =_____X = 45: z =_____
b.For the same population, find the score (X value) that
corresponds to each of the following z-scores.
z = 0.50: X=_____ z = 1.50:...

A normal distribution has a mean equal to 48. What is the
standard deviation of this normal distribution if 2.5% of the
proportion under the curve lies to the right of x = 61.72? (Round
your answer to two decimal places.)

a) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4; σ = 6
P(1 ≤ x ≤ 13) =
b) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 103; σ = 20
P(x ≥ 120) =
c) Find z such that 5%...

A normal distribution of MA-321 test scores has a mean of 81.7
and a standard deviation of 5.8 Answer the following: a) What
percentage of the test scores are below 90? b) What percentage of
the test scores are above 75? c) What percentage of students have
test scores between 80 and 93? d) What test score is at the 95th
percentile?

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