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Chapter 1: Q. 89 (page 5)
No replacement To use a binomial distribution to approximate the count of successes in an SRS, why do we require that the sample size be no more than of the population size?
The probability of success will change, particularly after each drawn element.
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How much time does it take to travel to work? Table shows the mean commute time by state for workers at least 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 . These were firms which had been publicly traded for at least a year, have a stock price of at least per share, and have reported annual revenue between million and billion. Table shows the ages of the chief executive officers for the first 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?
A “random survey” was conducted of people of the “microprocessor generation” (people born since , the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had to spend, they would use it for computer equipment. Also, of those surveyed considered themselves relatively savvy computer users.
a. Do you consider the sample size large enough for a study of this type? Why or why not?
b. Based on your “gut feeling,” do you believe the percents accurately reflect the U.S. population for those individuals born since ? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why? Additional information: The survey, reported by Intel Corporation, was filled out by individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute's road show called “America’s Smithsonian.”
c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?
d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters
Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. Suppose an airline conducts a survey. Over Thanksgiving weekend, it surveys six flights from Boston to Salt Lake City to determine the number of babies on the flights. It determines the amount of safety equipment needed by the result of that study.
a. Using complete sentences, list three things wrong with the way the survey was conducted.
b. Using complete sentences, list three ways that you would improve the survey if it were to be repeated.
A local radio station has a fan base of listeners. The station wants to know if its audience would prefer
More music or more talk shows. Asking all listeners is an almost impossible task.
The station uses convenience sampling and surveys the first people they meet at one of the station’s music concert events. people said they’d prefer more talk shows, and 176 people said they’d prefer more music.
Do you think that this sample is representative of (or is characteristic of) the entire listener population?
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