91Ó°ÊÓ

How much time does it take to travel to work? Table $1.36$shows the mean commute time by state for workers at least $16$years old who are not working at home. Find the mean travel time, and round off the answer properly.

Forbes magazine published data on the best small firms in $2012$. These were firms which had been publicly traded for at least a year, have a stock price of at least $\backslash (5$per share, and have reported annual revenue between $\backslash )5$million and $\$1$billion. Table $1.37$shows the ages of the chief executive officers for the first $60$ranked firms.

a. What is the frequency for CEO ages between 54 and 65?

b. What percentage of CEOs are 65 years or older?

c. What is the relative frequency of ages under 50?

d. What is the cumulative relative frequency for CEOs younger than 55?

e. Which graph shows the relative frequency and which shows the cumulative relative frequency?

Use the following information to answer the next two exercises: Table $1.38$contains data on hurricanes that have made direct hits on the U.S. Between $1851$and $2004$. A hurricane is given a strength category rating based on the minimum wind speed generated by the storm.

What is the relative frequency of direct hits that were category 4 hurricanes?

a. $0.0768$

b. $0.0659$

c. $0.2601$

d. Not enough information to calculate

Use the following information to answer the next two exercises: Table $1.38$contains data on hurricanes that have made direct hits on the U.S. Between $1851$and $2004$. A hurricane is given a strength category rating based on the minimum wind speed generated by the storm.

What is the relative frequency of direct hits that were AT MOST a category 3 storm?

a. $0.3480$

b. $0.9231$

c. $0.2601$

d. $0.3370$

How does sleep deprivation affect your ability to drive? A recent study measured the effects on $19$professional drivers. Each driver participated in two experimental sessions: one after normal sleep and one after $27$hours of total sleep deprivation. The treatments were assigned in random order. In each session, performance was measured on a variety of tasks including a driving simulation.

Use key terms from this module to describe the design of this experiment.

An advertisement for Acme Investments displays the two graphs in Figure $1.14$to show the value of Acme’s product in comparison with the Other Guy’s product. Describe the potentially misleading visual effect of these comparison graphs. How can this be corrected?

No replacement To use a binomial distribution to approximate the count of successes in an SRS, why do we require that the sample size $n$be no more than $10\%$of the population size$N$?

The graph in Figure $1.15$shows the number of complaints for six different airlines as reported to the US Department of Transportation in February $2013$. Alaska, Pinnacle, and Airtran Airlines have far fewer complaints reported than American, Delta, and United. Can we conclude that American, Delta, and United are the worst airline carriers since they have the most complaints?

A study was done to determine the age, number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas. The first house in the neighborhood around the park was selected randomly, and then the resident of every eighth house in the neighborhood around the park was interviewed.

The colors of the houses around the park are what kind of data?

a. qualitative(categorical); b. quantitative discrete; c. quantitative continuous

Seven hundred and seventy-one distance learning students at Long Beach City College responded to surveys in the $2010-11$academic year. Highlights of the summary report are listed in Table $1.39.$

a. What percent of the students surveyed do not have a computer at home?

b. About how many students in the survey live at least 16 miles from campus?

c. If the same survey were done at Great Basin College in Elko, Nevada, do you think the percentages would be the same? Why?