MAT 101 – QUIZ 1
You may use a hand-held calculator whenever necessary. Nothing else!
1. People magazine chooses its ‘best-dressed celebrities’ by compiling responses from readers who mail in a survey printed in the magazine.
a. What kind of sample is this?
b. Is it a representative sample or is it biased? Explain your answer.
2. Last year France had 82 million international tourists and the United States had 63 million international tourists.
a. Are these numbers precise? Why or why not?
b. Are they accurate? Why or why not?
3. In a clinical trial of the effectiveness of a lotion used to treat tinea pedis (athlete’s foot), the physicians who evaluate the results know which subjects were given the treatment and which were given a placebo.
a. What kind of study is this?
b. Is any type of bias possible? If so, what type?
c. Finally, list and explain possible confounding variables, if any.
4. 106 adults are randomly selected and tested for their body temperatures. Based on that sample, it is estimated that the average (mean) body temperature is 98.2 degrees Fahrenheit with a margin of error of 0.1 degrees Fahrenheit.
a. What is the population?
b. What is the sample statistic?
c. What is the population parameter?
d. What is the confidence interval?
5. The braking reaction time of 40 randomly selected licensed drivers are measured and 60% of them take longer than 1.9 seconds.
a. What is the raw data value that gives this percentage?
A researcher then measures the braking reaction time of one subject and records a value of 2.4 seconds. The actual reaction time is 1.9 seconds.
b. What is the absolute error?
c. What is the relative error?
d. Does there seem to be a problem with this study? If you think so, what could it be?
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