Assignment D
The
data on technology firms
from BusinessWeek measure company performance for the year 2009.
A. Observe the sample and describe the population the sample was
likely taken from.
B. Divide the sample into firms involved in hardware* and those
that are not. Calculate and compare the
mean revenue level for the two groups.
Can we say for sure that the population mean revenue for hardware firms
is different from non-hardware firms? Explain.
C. Calculate and interpret the standard deviation in revenue for hardware and non-hardware firms. Calculate and interpret the coefficient of
variation for the two groups. Which type
of firm exhibits greater variation in revenue?
Does the comparison of standard deviations tell the same story as the comparison of the coefficients of variation? Explain.
D. Generate the distribution in revenue for the full
sample of firms. Use eight classes in the distribution. Set the size of each class at $13,413.38 million.
Make the endpoint of the first
class equal to $13,914.38 million.
Graph the distribution and discuss its skewness.
E. Test the assumption that the average firm within the population
had a mean revenue of 7.45 billion dollars. Construct a 99% confidence interval for the population mean revenue and discuss whether your statistics
agree or disagree with the assumption.
* Hardware includes the
sectors: Communications; Computers,
peripherals; Distributors; Electronic equipment; Semiconductors, equipment.