Question

the Salary of the employees at XYZ is normally distributed with a mean of $90,000 and a standard deviation of $16,000.

a. What is the probability that an employee chosen at random will have a salary higher than $120,000?

b. What proportion of employees will have a salary of less than $80,000?

c. What is the probability that an employee chosen at random will have a salary between $80,000 and $100,000?

d. What is the cutoff point for the upper 20% of the salaries? In other words, what is the 80th percentile of the salaries?

e. What is the cutoff for the lower 20% of the salaries? In other words, what is the 20th percentile of the salaries? f. What are the cutoffs for the middle 50% of the salaries?

Answer #1

Sociology graduates, upon entering the workforce are normally
distributed and earn a mean salary of $30,000 with a standard
deviation of $4000.
Jessica is an honors sociology student. Upon graduation, she
would like to take a job that starts at $40,000. What is the
probability that randomly chosen salary exceeds $40,000?
Sam is not sure how much he will make upon graduation. He would
be happy if his salary was in the middle 60% of salaries. Find the
two salaries...

The salaries at a corporation are normally
distributed with an average salary of $19,000 and a
standard deviation of $4,000. USE Z SCORE AND TABLE
What is the probability that an employee will have a salary
between $12,520 and $13,480?
b. What is the probability that an employee will
have a salary more than $11,880?
c. What is the probability that an employee will
have a salary less than $28,440?

5. The salaries at a corporation are normally distributed with
an average salary of $19,000 and a standard deviation of
$4,000.
a.
What is the probability that an employee will have a salary
between $12,520 and $13,480?
b.
What is the probability that an employee will have a salary more
than $11,880?
c.
What is the probability that an employee will have a salary less
than $28,440?
d.
What is the probability that an employee will have a salary
between...

The annual salaries of employees in a large company are
approximately normally distributed with a mean of $50,000 and a
standard deviation of $2000. In a sample of 20 employees, what is
the probability their mean salary is greater than or equal to
$60,000? (3 decimal places)

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...

Scores on a certain test are normally distributed with a mean of
77.5 and a standard deviation 9.3.
a) What is the probability that an individual student will score
more than 90?
b) What proportion of the population will have a score between
of 70 and 85?
c) Find the score that is the 80th percentile of all tests.

Teacher salaries for a particular district are known to have a
normal distribution
with a mean of $38,500 and a standard deviation of $880.
a)What is the probability that a randomly chosen teacher from
this district makes less than $41,000?
b)What is the probability that a randomly chosen teacher from
this district makes more than $37,000?
c)What is the probability that a randomly chosen teacher from
this district has a salary between $36,000 and $38,000.
d)One veteran teacher comments that...

1. Salaries for entry level employees working in a certain
industry are normally distributed with a mean of $37,098 and a
standard deviation of $1,810.
What proportion workers in this industry have entry level
salaries greater than $40,000?
Round your answer to 4 decimal places.
2.Salaries for entry level employees working in
a certain industry are normally distributed with a mean of $38,211
and a standard deviation of $1,531.
What proportion workers in this industry have entry level
salaries between...

Employees in a large accounting firm claim that the mean salary
of the firm’s accountants is less than that of its competitor’s
which is $45,000. A random sample of 16 of the firm’s accountants
has a mean salary of $43,500. Assume that the population standard
deviation is $5200. Test the employees claim. What assumption is
necessary for this test to be valid?
None. The Central Limit Theorem makes any assumptions
unnecessary.
The population of all salaries of the firm’s accountants...

If a random variable "Distance" is normally distributed, with a
mean of 2.5 kilometers and a standard deviation of 0.3 km, what is
the 75th percentile distance traveled? In other words, 25 percent
of the distances traveled to collect water are greater than what
distance? Explain how you arrived at your answer.

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