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Chapter 8: Q 4. (page 506)
Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of undergraduates at a large university: “You witness two students cheating on a quiz. Do you go to the professor?”
The proportion of students is
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Losing weight Refer to Exercise 6.
a. Explain what would happen to the length of the interval if the confidence level was decreased to .
b. How would a confidence interval based on triple the sample size compare to the original interval?
c. As Gallup indicates, the percentage point margin of error for this poll includes only sampling variability (what they call “sampling error”). What other potential sources of error (Gallup calls these “non sampling errors”) could affect the accuracy of the 95% confidence interval?
Prom totals Use your interval from Exercise 39 to construct and interpret a
confidence interval for the total number of seniors planning to go to the prom.
Explaining confidence The admissions director for a university found that is a confidence interval for the mean IQ score of all freshmen. Discuss whether each of the following explanations is correct, based on that information.
a. There is a probability that the interval from role="math" localid="1654200953396" contains .
b. There is a chance that the intervalcontains .
c. This interval was constructed using a method that produces intervals that capture the true mean in of all possible samples.
d. If we take many samples, about of them will contain the interval .
e. The probability that the interval captures is either or , but we don’t know which.
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.
Travel time to work A study of commuting times reports the travel times to work of a random sample of employed adults in New York State. The mean is minutes and the standard deviation is
minutes. What is the standard error of the mean? Interpret this value in context.
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