Question

At your summer job with a research company, you must get a random sample of people from your town to answer a question about spending habits. Which of the following methods is most likely to be random? (1 point)

You survey customers at the local shopping mall.
You survey people chosen randomly from the local phonebook.
You survey several of your friends.
You survey customers at a popular restaurant.

Answer 1

Which survey question is unbiased? (1 point)

“Do you think we should allow them to cut down the trees and pave over the grass for the new playground?”
“Which do you prefer with a meal—water, or a syrupy sweet soft drink?”
“Should there be a school dress code?”
“Do you prefer bringing a healthy lunch to school or eating cafeteria food?”

Answer 2

A fish and game warden captures and tags 66 deer in a local forest. A month later he captures 100 deer and finds that 17 of them are tagged. Estimate the actual number of deer in the forest. (1 point)

149
1,022
578
389

Answer 3

Lucy wants to find out the number of frogs in a pond near her house. She catches 54 of them, puts a leg band on each frog, and puts them back in the pond. The next week, she catches 70 frogs. Of those 70 frogs, 13 have a leg band. Based on this information, what is a reasonable estimate of the number of frogs in the pond?


208
632
291
111

Answer 4

In a sample of 50 museum visitors one afternoon, 22 were female and 28 were male. If there were 800 museum visitors that afternoon, estimate the number of visitors who were female.

220
352
448
700

Answer 5

A manufacturer samples 100 wires for quality testing. Four of the wires are found to be defective. If 750 wires are produced in one hour, how many should the manufacturer expect to be defective?

Answer 6

The city of Valley Grove is considering shortening the length of the school day. The school board hired Mr. Kent to do a survey to help them decide what to do.

a. Mr. Kent interviewed 54 students as they left the school. Is this a random sample? Explain.

b. Mr. Kent used this survey question: “Should the lengthy school day, which now extends for 7.5 hours, be shortened to 6 hours?” Is this question biased or fair? Explain.

c. Of the 54 responses he received, 51 were “yes.” The rest were “no.” What percent of the responses were “no”?