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Chapter 1: Q.1.5. (page 10)
The data are the number of machines in a gym. You sample five gyms. One gym has machines, one gym has machines, one gym has ten machines, one gym has machines, and the other gym has machines. What type of data is this?
The numbers of machines are the quantitative discrete data.
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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?
Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once they start the treatment. Two researchers each follow a different set of 40 patients with AIDS from the start of treatment until their deaths. The following data (in months) are collected.
Researcher A:
3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34
Researcher B:
3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29
Determine what the key terms refer to in the example for Researcher A.
population
Design an experiment. Identify the explanatory and response variables. Describe the population being studied and the experimental units. Explain the treatments that will be used and how they will be assigned to the experimental units. Describe how blinding and placebos may be used to counter the power of suggestion.
With your classmates, brainstorm some ways you could overcome these problems if you needed to conduct a phone or mail survey.
A 鈥渞andom survey鈥� was conducted of people of the 鈥渕icroprocessor generation鈥� (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 鈥済ut feeling,鈥� 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 鈥淎merica鈥檚 Smithsonian.鈥�
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
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