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Fall Semester 2003
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Midterm One: What to study.
Here are examples of questions you can expect on the written exam:
- What is descriptive statistics?
- How is that different from inferential statistics?
- What is univariate statistics?
- Define the following terms: frequency, cumulative frequency, percentage, and cumulative percentage.
- Define the following terms: pth percentile, quartiles, interquartile range? What does the interquartile range
indicate (roughly)?
- What is a probability distribution?
- Define observation, sample, and random sample.
- State the Central Limit Theorem.
- Here's what they reviewed for the midterm
last year.
Questions in QuizSite (included) are also fair game.
- Suppose that you are conducting a survey on the cost of a medical
procedure as part of research on health care reform. The cost of the procedure
follows the normal distribution with a standard deviation of 1000. After sampling
50 different hospitals at random, you calculate the average cost to be $5,500. What
is the 90% confidence interval for the value of the mean cost of all hospitals?
Explain your answer. (see page 212 in your book).
- You work at a plant that manufactures resistors. Previous studies have shown
that the number of defective resistors in a batch follows a normal distribution with a
mean of 50 and a standard deviation of 15. A new process has been proposed that will
reduce the number of defective resistors, saving the plant money. You put the process
in place and create a sample of 25 batches. The average number of defects in a batch is
45. Does this prove that the new process reduces the number of defective resistors, or is
45 simply a random aberration, and the process does not make any difference at all? Explain.
(see page 218 in your book)
- The college administration claims that students should not expect to spend more than
an average $200 each semester for books. A student associated with the school newspaper decides
to investigate this claim and interviews 25 randomly selected students. The average spent by the
25 students is $200, and the standard deviation of these purchases is $50. Is this significant
evidence that the statement from the administration is wrong? Explain. (see page 226 in your book)
Last updated: Nov 18, 2003, by Adrian German (for A113)