Question

Maintaining a healthy work and life balance is not only important for health and relationship, but it also improves employee productivity. A study is conducted to examine the amount of time that university lecturers spend on their jobs. The amount of time that university lecturers devote to their jobs per week is normally distributed, with a mean of 54 hours and a standard deviation of 7 hours.

- What is the probability that one randomly selected lecturer works for more than 58 hours per week? Display working.
- Find the probability that the mean amount of work per week for three randomly selected lecturers is less than 50 hours per week. Display working.
- Five lecturers are randomly selected. What is the probability that their average amount of work per week is between 54 hours and 60 hours? Display working

d. The 1% lecturers who work the longest amount of time would work at least how many hours per week? Display working.

Answer #1

Q.1) The amount of time the university professors devote to their
jobs per week is normally distributed with a mean of 52 hours and a
standard deviation of 6 hours.
a) What is the probability that a professor works for more than
60 hours per week?
b) Find the probability that the mean amount of work per week
for 3 randomly selected professors is more than 60 hours per
week.
c) Why are your answers to the previous two questions...

In
a study made in a city, which the citizens work for themselves, the
hours a week they work are observed. It was found that the average
time is u= 45 hours and the Standard Deviation = 7.5 hours.
If the distribution of these times is normal aprox. , answer
these questions:
1. What percentage of these citizens are dedicated to working
more than 60 hours a week?
2. What percentage of these citizens are dedicated to working
less than...

An economics professor is interested in seeing if the mean hours
worked by students in a week at part time or full time jobs
(including work study) is greater than 10. To accomplish this, the
professor randomly selected 240 students from the university. It
was found that the distribution was right skewed and unimodal. The
mean was 8 hours with a standard deviation of 4. The professor then
did a hypothesis test.
Please find the test statistic for this hypothesis...

Your parents are always complaining that you do not do enough
housework. They say that you should be helping them out because you
are only a student and you have a lot more spare time than
them.
The number of hours per week that your parents work has a mean
of 49.24 hours and a standard deviation of 2.84 hours. You believe
that the number of hours per week that you have to study for
university has a mean of...

Two computer specialists are completing work orders. Incoming
jobs are randomly assigned to the first specialist with probability
0.69 and to the second specialist with probability 0.31. The time
it takes the first specialist to complete an order is a normal
random variable with mean 5.5 hours and standard deviation 1 hour
and the time it takes the second specialist is normal with mean 6.3
hours and standard deviation 1.5 hours. Please give your answers to
the nearest 0.001.
Part...

1. Suppose that the time it takes you to drive to work is a
normally distributed random variable with a mean of 20 minutes and
a standard deviation of 4 minutes.
a. the probability that a randomly selected trip to work will
take more than 30 minutes equals: (5 pts)
b. the expected value of the time it takes you to get to work
is: (4 pts)
c. If you start work at 8am, what time should you leave your...

5. Determine the null and alternative hypotheses for the
following scenario.
a) At Northwest Mississippi Community College, syllabi for online
classes state that students should expect
to spend 10 hours per week doing coursework for each
three-credit-hour class. The director of eLearning
for the community college is concerned that students are being
required to spend more than 10 hours per
week doing work for each three-credit course.
b) After learning that Peter Colat of Switzerland could hold his
breath for...

You are asked to do a study of shelters for abused and battered
women to determine the
necessary capacity I your city to provide housing for most of
these women. After recording data
for a whole year, you find that the
mean number
of women in shelters each night is
250
, with a
standard deviation of 75
. Fortunately, the distribution of the number of women in the
shelters
each night is normal, so you can answer the following...

1) Consider a firm that uses only capital and labor. In the
short-run the firm:
A. Will never face diminishing returns to labor
B. Faces diminishing returns to labor because capital cannot be
changed
C. Faces increasing returns to labor because capital is
variable
D.Faces diminishing returns to capital because labor can be
changed
2) Tim started a lawn mowing business during summer break using
his family's lawn mower, which statement best explains the shape of
the production function?
A....

Muffler Magic*
Muffler Magic is a fast-growing chain of 25 automobile service
centers in Nevada. Originally started 20 years ago as a muffler
repair shop by Ronald Brown, the chain expanded rapidly to new
locations, and as it did so Muffler Magic also expanded the
services it provided, from muffler replacement to oil changes,
brake jobs, and engine repair. Today, one can bring an automobile
to a Muffler Magic shop for basically any type of service, from
tires to mufflers...

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