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Chapter 1: Problem 1
Briefly describe the two meanings of the word statistics.
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A survey based on a random sample taken from one borough of New York City showed that \(65 \%\) of the people living there would prefer to live somewhere other than New York City if they had the opportunity to do so. Based on this result, can the researcher say that \(65 \%\) of people living in New York City would prefer to live somewhere else if they had the opportunity to do so? Explain.
The number of shoe pairs owned by six women is \(8,14,3,7,10\), and 5 , respectively. Let \(x\) denote the number of shoe pairs owned by a woman. Find: a. \(\sum x\) b. \(\left(\sum x\right)^{2}\) c. \(\sum x^{2}\)
A professor is teaching a large class that has 247 students. He wants to select a sample of 15 students to do a study on the habits of his students. For each of the following sampling methods, explain what kind of method is used (e.g., is it a random sample, nonrandom sample, sample with replacement, sample without replacement, convenience sample, judgment sample, quota sample). a. There are 15 sociology majors in his class. He selects these 15 students to include in the sample. b. He goes through the roster and finds that he knows 30 of the 247 students. Using his knowledge about these students, he selects 15 students from these 30 to include in the sample. c. He enters names of all 247 students in a spreadsheet on his computer. He uses a statistical software (such as Minitab) to select 15 students.
A magazine published a questionnaire for its readers to fill out and mail to the magazine's office. In the questionnaire, cell phone owners were asked how much they would have to be paid to do without their cell phones for one month. The magazine received responses from 5439 cell phone owners. a. What type of sample is this? Explain. b. To what kind(s) of systematic error, if any, would this survey be subject?
In which sampling technique do all samples of the same size selected from a population have the same chance of being selected?
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