# A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $75,000 or more, and 50% reported having an American Express credit card. a. What is the population of interest in this study? b. Is annual income a categorical or quantitative variable? c. Is ownership of an American Express card a categorical or quantitative variable? # A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of$75,000 or more, and 50% reported having an American Express credit card. a. What is the population of interest in this study? b. Is annual income a categorical or quantitative variable? c. Is ownership of an American Express card a categorical or quantitative variable?

Question
A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $$\75,000$$ or more, and 50% reported having an American Express credit card.
a. What is the population of interest in this study?
b. Is annual income a categorical or quantitative variable?
c. Is ownership of an American Express card a categorical or quantitative variable?

2020-11-01
a.
A population is the collection of all possible events for an experiment.
In this case, the study is based on the subscribers of Bloomberg Businessweek North American.
Thus, all of the subscribers of Bloomberg Businessweek North American is the population of the study.
b.
In statistics, according to measurement, data can be categorized in two types, such as quantitative data and categorical data.
Quantitative variable can take numerical values, whereas categorical variable is used to identify the characteristics of a variable as categories. Moreover, mathematical operations cannot be performed on categorical data, but can be performed on quantitative data.
The annual income can be measured in terms of dollar. Moreover, mathematical operations can be done on the annual income. Hence, annual income is quantitative variable.
c.
The ownership of an American Express card just defines the people, whether hey are using the American Express card or not. Moreover, any mathematical operation cannot be done on this.
Hence, the ownership of an American Express card is a categorical variable.

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3. ( Enter in box 3) m/s
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5. ( Enter in box 5) $$\displaystyle\frac{{m}}{{s}^{{2}}}\hat{{{j}}}$$
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Part A:
Consider a vehicle moving with constant velocity $$\displaystyle\vec{{{v}}}$$. Find the power dissipated by form drag.
Express your answer in terms of $$\displaystyle{C}_{{d}},{A},$$ and speed v.
Part B:
A certain car has an engine that provides a maximum power $$\displaystyle{P}_{{0}}$$. Suppose that the maximum speed of thee car, $$\displaystyle{v}_{{0}}$$, is limited by a drag force proportional to the square of the speed (as in the previous part). The car engine is now modified, so that the new power $$\displaystyle{P}_{{1}}$$ is 10 percent greater than the original power ($$\displaystyle{P}_{{1}}={110}\%{P}_{{0}}$$).
Assume the following:
The top speed is limited by air drag.
The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, $$\displaystyle{\frac{{{v}_{{1}}-{v}_{{0}}}}{{{v}_{{0}}}}}$$, is the top speed of the car increased?
Express the percent increase in top speed numerically to two significant figures.
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