STATISTICS FOR MANAGERS

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The chair of the accounting department wants to develop a regression model to
predict the grade point average in accounting for graduating accounting majors,
based on the students’ SAT score and whether the student received a grade of B
or higher in the introductory statistics course (0 = no and 1 = yes).
a. Explain the steps involved in developing a regression model for these data.
Be sure to indicate the particular models you need to evaluate and
compare.
b. Suppose the regression coefficient for the variable of whether the student
received a grade of B or higher in the introductory statistics course
is +0.30, how do you interpret this result?

 
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STATISTICS FOR MANAGERS

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La Quinta Motor Inns developed a computer model to predict the profitability of
sites that are being considered as locations for new hotels. If the computer
model predicts large profits, La Quinta buys the proposed site and builds a new
hotel. If the computer model predicts small or moderate profits, La Quinta
chooses not to proceed. This decision-making procedure can be expressed in the
hypothesis-testing framework. The null hypothesis is that the site is not a
profitable location. The alternative hypothesis is that the site is a profitable
location.
a. Explain the risks associated with committing a Type I error in this case.
b. Explain the risks associated with committing a Type II error in this case.
c. Which type of error do you think the executives at La Quinta Motor Inns are
trying hard to avoid? Explain.

 
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STATISTICS FOR MANAGERS

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Late payment of medical claims can add to the cost of health care. An article
reported that the mean time from the date of service to the date of payment for
one insurance company was 41.4 days during a recent period. Suppose that a
sample of 100 medical claims is selected during the latest time period. The
sample mean time from the date of service to the date of payment was 39.6
days, and the sample standard deviation was 7.4 days.
a. Using the 0.05 level of significance, is there evidence that the population
mean has changed from 41.4 days?
b. What is your answer in (a) if you use the 0.01 level of significance?
c. What is your answer in (a) if the sample mean is 38.2 days and the sample
standard deviation is 10.7 days?

 
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STATISTICS FOR MANAGERS

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Which measure of central tendency would be most useful in each of the
following instances?
(a) The production manager for a manufacturer of glass jars, who is concerned
about the proper jar size to manufacture, has sample data on jar sizes
ordered by customers. Would the mean, median, or modal jar size be of
most value to the manager?
(b) The sales manager for a quality furniture manufacturer is interested in
selecting the region’s most likely to purchase his firm’s products. Would he
be most interested in the mean or median of family income in prospective
sales areas?
(c) A security analyst is interested in describing the daily market price change of
the common stock of a manufacturing company. Rarely the market price of
the stock changes by more than one point, but occasionally the price will
change by as many as four points in one day. Should the security analyst
describe the daily price change of the stock in terms of mean, median, or
mode of the daily market price change?

 
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