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Chapter 8: Q 2. (page 506)
Got shoes? The class in Exercise 1 wants to estimate the variability in the number of pairs
of shoes that female students have by estimating the population standard deviation .
The standard deviation is
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Three branches According to a recent study by the Annenberg Foundation, only of adults in the United States could name all three branches of government. This was based on a survey given to a random sample ofU.S. adults.
a. Construct and interpret a confidence interval for the proportion of all U.S. adults who could name all three branches of government.
b. Does the interval from part (a) provide convincing evidence that less than half of all U.S. adults could name all three branches of government? Explain your answer.
Reading scores in Atlanta The Trial Urban District Assessment (TUDA) is a
government-sponsored study of student achievement in large urban school districts. TUDA gives a reading test scored from to . A score of is a 鈥渂asic鈥� reading level and a score of is 鈥減roficient.鈥� Scores for a random sample of eighth-graders in Atlanta had a mean of with standard deviation of
a. Construct and interpret a confidence interval for the mean reading test score of all Atlanta eighth-graders.
b. Based on your interval from part (a), is there convincing evidence that the mean reading test score for all Atlanta eighth-graders is less than the basic level? Explain your answer.
A newspaper reporter asked an SRS of residents in a large city for their opinion about the mayor鈥檚 job performance. Using the results from the sample, the confidence interval for the proportion of all residents in the city who approve of the mayor鈥檚 job performance is . What is the value of ?
a.
b.
c.
d.
e.
Weeds among the corn Velvetleaf is a particularly annoying weed in cornfields. It produces lots of seeds, and the seeds wait in the soil for years until conditions are right for sprouting. How many seeds do velvetleaf plants produce? The histogram shows the counts from a random sample of plants that came up in a cornfield
when no herbicide was used. Determine if the Normal/Large Sample condition is met in this context.
Gambling and the NCAA Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student athletes concerning their gambling-related behaviors. Of the Division male athletes who responded to the survey, reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a margin of error.
a. The confidence level was not stated in the report. Use what you have learned to
estimate the confidence level, assuming that the NCAA took an SRS.
b. The study was designed to protect the anonymity of the student athletes who responded. As a result, it was not possible to calculate the number of students who were asked to respond but did not. How does this fact affect the way that you interpret the results?
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