The document appears to be a final exam guide for a statistics course, covering various topics such as confidence intervals, binomial variables, the central limit theorem, and hypothesis testing. It includes specific problems and examples related to employee training times, battery life, proportions of iPhone ownership, and other statistical concepts. The content mainly consists of statistical questions that students are expected to solve, demonstrating their understanding of concepts taught in the course.

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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 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 µ =800 and σ = 56, the
standard deviation of the sampling distribution of sample
means would equal ______
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 _________

2. 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 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 weight of the USB flash drives is too heavy or
too 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 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 a five-minute interval is ________
11. The number of finance majors within the School of

3. Business is an example of _______
12. According to the central limit theorem, for samples of size
64 drawn from a population with µ = 800 and σ = 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 ___________
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
1
0.10
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. 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 standard deviation of 10 work-days. To be

4. 99% sure that we will not be late in completing the project, we
should request a completion time of ______ work-day.
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 approximately_______________.
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" is usually defined as _______
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 McIlvoy, owner and CEO of a mail order business
for wind surfing equipment and 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 out-performed 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. Maureen's

5. 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 _______.
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 set of data
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
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

6. 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 _______.

7. 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 _______.