Question

The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of $5,000. What is the probability that the mean salary of random sample of 100 workers is more than $49,000. Which picture shows the requested area?

Answer #1

QUESTION 3
In a certain region, the mean annual salary for plumbers is
$51,000. Let x be a random variable that represents a
plumber's salary. Assume the standard deviation is $1300. If a
random sample of 100 plumbers is selected, what is the probability
that the sample mean is greater than $51,300?
A.
0.32
B.
0.03
C.
0.41
D.
0.01

The lifetime of a certain battery follows a normal distribution
with a mean 276 minutes and standard deviation 25 minutes. We took
a random sample of 100 of these batteries. What is the probability
that the sample mean of the lifetime will be less than 270
minutes?

The lifetime of a certain battery follows a normal distribution
with a mean 276 minutes and standard deviation 20 minutes. We took
a random sample of 100 of these batteries. What is the probability
that the sample mean of the lifetime will be less than 270
minutes?
A.0.9987
B.0.0013
C.0.4987
D.0.3821

. The annual salary for university professors can be
approximated with a normal distribution with a mean of $60,000 with
a standard deviation of $10,000. What is the probability that a
randomly selected professor has an annual salary is….. (Do not
round off the final answer) (i) In between $40,000 and $75,000

The average teacher’s salary is $45,000. Assume a normal
distribution with standard deviation equal to $10,000. a) What is
the probability that a randomly selected teacher makes greater than
$65,000 a year? b) If we sample 100 teachers’ salaries, what is the
probability that the sample mean will be greater than $65,000?

A certain population has an income distribution given
by a normal random variable whose mean is $35000 and whose standard
deviation is $7500.
A. What is the
probability that a randomly selected person has an income of at
least $35000?

[5] 3. The
average teacher’s salary is $45,000. Assume a normal distribution
with standard
deviation equal to $10,000.
What is the probability that a randomly selected teacher makes
greater than $65,000 a year?
If we sample 100 teachers’ salaries, what is the probability
that the sample mean will be greater than $65,000?

The average yearly salary of RN’s is $70,000. If the
distribution of salaries is
approximately normal with a standard deviation of $5,000,what is
the probability that
a randomly selected RN makes:
Between $60,000 and $70,000 a year.
More than $70,000 a year.

Assume that x has a normal distribution, and find the indicated
probability.
1) The mean is 15.2 and the standard deviation is 0.9. Find the
probability that x is greater than 17.
2) Let x be a continuous random variable that follows a normal
distribution with a mean of 17.3 and a standard deviation of 3.2.
Find the value of x so that the area under the normal curve to the
left of x is .500.
Please show all the...

Assume the commuting times of American workers follow a normal
distribution with mean mu=23 minutes and standard deviation sigma=5
minutes. A random sample of 16 American workers is taken. What is
the probability that the sample mean commuting time is greater than
25 minutes?

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