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Chapter 2: Q2.3 (page 40)
Explain the meaning of
Qualitative Variable
Discrete, Quantitative Variable
Continuous, Quantitative Variable
Qualitative can't be measured in numbers, Discrete Quantitative can be measured only in whole numbers, Continuous Quantitative Variable can be measured in both whole & non whole numbers.
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Standard Normal Distribution. One of the most important distributions in statistics is the standard normal distribution. We discuss this distribution in detail in Chapter 6.
a. Use the technology of your choice to generate a sample of 3000 observations from a variable that has the standard normal distribution.
b. Use the technology of your choice to get a relative-frequency histogram for the 3000 observations that you obtained in part (a).
c. Based on the histogram you obtained in part (b), what specific shape does the standard normal distribution have? Explain your reasoning.
We have drawn a smooth curve that represents a distribution,
a. Identify the shape of the distirbution with regard to modality.
b. Identify the shape of the distribution with regard to symmetry (or non symmetry)
c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.
San Francisco Giants. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series-winning San Francisco Giants baseball team.
a. Construct a stem-and-leaf diagram of these data with five lines per stem.
b. Why is it better to use five lines per stem here instead of one or two lines per stem?
For a qualitative data set, what is a
a. frequency distribution?
b. relative-frequency distribution?
University Patents. The number of patents a university receives is an indicator of the research level of the university. From a study titled Science and Engineering Indicators issued by the National Science Foundation, we found the number of U.S. patents awarded to a sample of private and public universities to be as follows.
Construct a stem-and-leaf diagram for these data with
a. one line per stem.
b. two lines per stem.
c. Which stem-and-leaf diagram do you find more useful? Why?
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