Question

A normally distributed population has a mean of

560

and a standard deviation of

60

.

a. Determine the probability that a random sample of size

25

selected from this population will have a sample mean less than

519

.

b. Determine the probability that a random sample of size

16

selected from the population will have a sample mean greater than or equal to

589

Although either technology or the standard normal distribution table could be used to find the probability, for this problem, use technology. Find the probability that

How do I use technology to find the answer?

Answer #1

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....

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

A normally distributed population has a mean of 72 and a
standard deviation of 14. Determine the probability that a random
sample of size 35 has an average greater than 73. Round to four
decimal places.

A population is normally distributed with a mean of 30 and a
standard deviation of 4. a. What is the mean of the sampling
distribution (μM) for this population? b. If a sample of n = 16
participants is selected from this population, what is the standard
error of the mean (σM)? c. Let’s say that a sample mean is 32. 1)
What is the z-score for a sample mean of 32? (calculate this) 2)
What is the probability of...

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...

The length of a women's pregnancies are normally distributed
with a population mean of 266 days and a population standard
deviation of 16 days.
a. What is the probability of a randomly selected pregnancy
lasts less than 260 days?
b. A random sample of 20 pregnancies were obtained. Describe the
sampling distribution of the sample mean length of pregnancies (eg.
Is it approximately normally distributed? Why or why not? What are
the mean and standard deviation?
c. What is the...

1. A population is normally distributed with mean 19.1 and
standard deviation 4.4. Find the probability that a sample of 9
values taken from this population will have a mean less than
22.
*Note: all z-scores must be rounded to the nearest hundredth.
2. A particular fruit's weights are normally distributed, with a
mean of 377 grams and a standard deviation of 11 grams.
If you pick 2 fruit at random, what is the probability that their
mean weight will...

1. The weights of 9 year old male children are normally
distributed population with a mean of 73 pounds and a standard
deviation of 12 pounds. Determine the probability that a random
sample of 21 such children has an average less than 72
pounds.
Round to four decimal places.
2. A normally distributed population has a mean of 80 and a
standard deviation of 17. Determine the probability that a random
sample of size 26 has an average greater than...

A random variable is normally distributed. It has a mean of 245
and a standard deviation of 21. a.) For a sample of size 10, state
the mean of the sample mean and the standard deviation of the
sample mean. b.) For a sample of size 10, find the probability that
the sample mean is more than 230.

IQ scores are normally distributed with a mean of 110 and a
standard deviation of 16. Find the probability a randomly selected
person has an IQ score greater than 115.

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