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1. UOP QNT 561 Final Exam Guide (New, 2019) NEW
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QNT 561 Final Exam Guide (New, 2019) NEW
1. James Desreumaux, VP of Human Resources
of American First Banks (AFB), is reviewing the
employee training programs of AFB banks. His
staff randomly selected personnel files for 100
tellers in the Southeast Region and determined

2. that their mean training time was 25 hours.
Assume that the population standard deviation is
5 hours. The 95% confidence interval for the
population mean of training times is
2. If x is a binomial random variable with n=10
and p=0.8, the mean value of x is_
3. According to the central limit theorem, for
samples of size 64 drawn from a population with p
=800 and a = 56, the standard deviation of the
sampling distribution of sample means would
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4. Life tests performed on a sample of 13 batteries
of a new model indicated: (1) an average life of75
months, and (2) a standard deviation of 5 months.
Other battery models, produced by similar
processes, have normally distributed life spans.
The 98% confidence interval for the population
mean life of the new model is_
5. A large national company is considering
negotiating cellular phone rates for its employees
Human Resource department would like to
estimate the proportion of its employee

3. population who own an Apple iPhone. A random
sample of size 250 is taken and 40% of the sample
own and iPhone.. The 95% confidence interval to
estimate the population proportion is_
6. The number of bags arriving on the baggage
claim conveyor belt in a 3 minute time period
would best be modeled with the_
7. The weight of a USB flash drive is 30 grams
and is normally distributed. Periodically,
quanlity control inspectors at Dallas Flash Drives
randomly select a sample of 17 USB flash drive. If
the mean
light the machinery is shut down for adjustment;
otherwise, the production process continues. The
last sample showed a meanand standard deviation
of 31.9 and 1.8 grams, respectively. Using a = 0.10,
theappropriate decision is_
8. Elwin Osbourne, CIO at GFS, Inc., is studying
employee use of GFS e-mail for non-business
communications. He plans to use a 95%
confidence interval estimate of the proportion of
e-mail messages that are non-business; he will
accept a 0.05 error. Previous studies indicate that
of the USB flash drives is too heavy or t(

4. approximately 30% of employee e-mail is not
business related. Elwin should sample_e¬
mail messages
9. The following frequency distribution was
constructed for the wait times in the emergency
room The frequency distribution reveals that
the wait times in the emergency room are_
10. The number of cars arriving at a toll booth
in five-minute intervals is Poisson distributed
with a mean of 3 cars arriving in five-minute
time intervals. The probability of 5 cars arriving
over WWW a five-minute interval is __ _
11. The number of finance majors within the
School of Business is an example of_
12. According to the central limit theorem, for
samples of size 64 drawn from a population
with p
= 800 and a = 56, the mean of the sampling
distribution of sample means would equal_
13. Consider the following null and alternative
hypotheses Ho: m < 67 Ha: m > 67 These
hypotheses_

5. 14. A market research team compiled the
following discrete probability distribution on the
numberof sodas the average adult drinks each
day. In this distribution, x represents the number
of sodas which an adult drinks
x
P(x)
0
0.30
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0
2
0.50
3
0.10
The mean (average) value of x is_
15. A researcher wants to determine the
sample size necessary to adequately conduct a
study to estimate the population mean to within 5
points.

6. The range of population values is 80 and the
researcher plans to use a 90% level of confidence.
The sample size should be at least_
16. The mean life of a particular brand of light
bulb is 1200 hours. If you know that at about 95%
of this brand of bulbs will last between 1100 and
1300 hours, then what is the standard
deviation of
the light bulbs' life?
17. Completion time (from start to finish) of a
building remodeling project is normally
distributed with a mean of 200 work-days and
a sure that we will not be late in completing the
project, we should request a completion time of
18. A large industrial firm allows a discount on
any invoice that is paid within 30 days. Of all
invoices, 10% receive the discount. In a company
audit, 10 invoices are sampled at random. The
probability that fewer than 3 of the 10 sampled
invoices receive the discount is
deviation of 10 work-days. To be
work-day.
approximately

7. 19. Suppose a population has a mean of 400 and a
standard deviation of 24. If a random sample of
size 144 is drawn from the population, the
probability of drawing a sample with a mean less
than 402 is_
20. If x is a binomial random variable with n=10
and p=0.8, what is the probability that x is equal to
4 ?
21. The normal distribution is used to test about a
population mean for large samples if the
population standard deviation is known. "Large"
V W. C is usually dellned as_HI. CO 111
22. Lucy Baker is analyzing demographic
characteristics of two television programs,
Americandol (population 1) and 60 Minutes
(population 2). Previous studies indicate no
difference in the ages of the two audiences (The
mean age of each audience is the same.) Lucy plans
to test this hypothesis using a random sample of
100 from each audience. Her null hypothesis is
23. Maureen Mcllvoy, owner and CEO of a mail
order business for wind surfing equipment and

8. supplies, is reviewing the order filling operations
at her warehouses. Her goal is 100% of orders
shipped within 24 hours. In previous years,
neither warehouse has achieved the goal, but the
East Coast Warehouse has consistently
outperformed the West Coast Warehouse. Her
staff randomly selected 200 orders from the West
Coast Warehouse (population 1) and 400 orders
from the East Coast Warehouse (population 2),
and reports that 190 of the West Coast Orders
were shipped within 24 hours, and the East Coast
Warehouse shipped 372 orders within 24 hours.• ■■ m m mm m m mm m '■ ■ ■ ■ ■ m m m m m m |l|||■■ ■ ■ ■■■ ■
Maureen's alternate hypothesis is_
24. Ophelia O'Brien, VP of Consumer Credit of
American First Banks (AFB), monitors the
default rate on personal loans at the AFB
member banks. One of her standards is "no more
than 5% of personal loans should be in default."
On each Friday, the default rate is calculated for
a sample of 500 personal loans. Last Friday's
sample contained 30 defaulted loans. Ophelia's
null
hypothesis is_.

9. 25. Catherine Chao, Director of Marketing
Research, is evaluating consumer acceptance of
a new toothpaste package. Her staff reports that
17% of a random sample of 200 households
prefers the new package to all other package
designs. If Catherine concludes that 17% of all
households prefer the new package, she is using
26. The empirical rule says that approximately
what percentage of the values would be within 2
standard deviations of the mean in a bell shaped
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27. Medical Wonders is a specialized interior
design company focused on healing artwork.
The CEO, Kathleen Kelledy claims that artwork
has healing effects for patients staying in a
hospital, as measured by reduced length of stay.
Her current client is a children's cancer hospital.
Kathleen is interested in determining the effect
of three different pieces of healing artwork on
children. She chooses three paintings (a horse
photo, a bright abstract, and a muted beach
scene) and

10. randomly assigns six hospital rooms to each
painting. Kathleen's null hypothesis is_
28. The expected (mean) life of a particular
type of light bulb is 1,000 hours with a standard
deviation of 50 hours. The life of this bulb is
normally distributed. What is the probability
that a randomly selected bulb would last fewer
than
940 hours
29. The mean life of a particular brand of light
bulb is 1200 hours and the standard deviation
is 75 hours. Tests show that the life of the bulb
is
approximately normally distributed. It can be
concluded that approximately 68% of the
bulbs
will last between_.
30. A market researcher is interested in
determining the average income for families in
San Mateo County, California. To accomplish this,
she takes a random sample of 300 families from
the county and uses the data gathered from them
to estimate the average income for families of the
entire county. This process is an example of_.