Question

a normally distributed data set has a mean of 150 and a standard deviation of 30 determine the probability that randomly selected x-value between 100 and 175

(2 pt)A normally distributed set of data has a mean of 60 and a standard deviation of 10 Determine the probability that a randomly selected x-value is a. at least 45 and b. at most 66.

Answer #1

The mean of a normally distributed data set is 112, and the
standard deviation is 18.
a) Use the Empirical Rule to find the probability
that a randomly-selected data value is greater than 130.
b) Use the Empirical Rule to find the probability
that a randomly-selected data value is greater than 148.
A psychologist wants to estimate the proportion of people in a
population with IQ scores between 85 and 130. The IQ scores of this
population are normally distributed...

a.) A sample set is normally distributed with a mean of 2.8 and
a standard deviation of 0.7. Approximately, what percentage of the
sample is between the values of 2.1 and 3.5?
b.) A sample set is normally distributed with a mean of 66 and a
standard deviation of 8.
Find a z-score corresponding to a given value of 82.

a normally distributed population has mean 57.7 and standard
deviation 12.1 .(a) find the probability that single randomly
selected element X OF THE POPULATION IS LESS THAN 45 (b) find the
mean and standard deviation of x for samples size 16. (c) find the
probability that the mean of a sample of size 16 drawn from this
population is less than 45

7. IQ scores are normally distributed with a mean of 100 and a
standard deviation of 15 points.
a. Find the probability that a randomly selected person has an
IQ less than 115.
b. Find the probability that a randomly selected person has an
IQ above 60.
c. Find the 80th percentile for IQ scores.
d. Find the probability that 20 randomly selected person has an
IQ less than 110.
e. What percentage of people have IQ scores between 60...

Assume that adults have IQ scores that are normally distributed
with a mean of 200 and a standard deviation of 20. Find the
probability that a randomly selected adult has an IQ between 150
and 175.

A variable of a population has a mean of ?=150 and a standard
deviation of ?=21. a. The sampling distribution of the sample mean
for samples of size 49 is approximately normally distributed with
mean __ and standard deviation __
A company sells sunscreen in 500 milliliters (ml) tubes. In
fact, the amount of lotion in a tube varies according to a normal
distribution with mean ?=497 ml and a standard deviation ?=5 ml.
Suppose a store that sells this...

1. IQ tests are normally distributed with a mean of 100 and a
standard deviation of 15. Find the following probabilities:
A) If a person is randomly selected, what is the probability
that the person had an IQ greater than125? _________________
b) If a person is randomly selected what is the probability that
the person has an IQ below 92?
c) If 40 people are randomly selected, what is the probability
that their mean IQ is between 98 and 108?

Suppose a normally distributed set of data has a mean of 193 and
a standard deviation of 13. Use the 68-95-99.7 Rule to determine
the percent of scores in the data set expected to be below a score
of 219. Give your answer as a percent and includeas many decimal
places as the 68-95-99.7 rule dictates. (For example, enter 99.7
instead of 0.997.)

A set of data is normally distributed with a mean of 54 and a
standard deviation of 2.3. What percentage of scores would lie in
the interval from 51.7 to 58.6?

A normally distributed population has a mean of 500 and a
standard deviation of 60. a. Determine the probability that a
random sample of size selected from this population will have a
sample mean less than . 9 455 b. Determine the probability that a
random sample of size selected from the population will have a
sample mean greater than or equal to . 25 532 a. P x < 455 =
(Round to four decimal places as needed.) b....

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