Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 14.2, Problem 4JC

Every 10 years, the United States takes a census. The census tries to count every resident. There have been two forms, known as the “short form,” answered by most people, and the “long form,” slogged through by about one in six or seven households chosen at random. (For the 2010 Census, the long form was replaced by the American Community Survey.) According to the Census Bureau (www.census.gov), “. . . each estimate based on the long form responses has an associated confidence interval.”

The Census Bureau goes on to say, “These confidence intervals are wider . . . for geographic areas with smaller populations and for characteristics that occur less frequently in the area being examined (such as the proportion of people in poverty in a middle-income neighborhood).”

To deal with this problem, the Census Bureau reports long-form data only for “. . . geographic areas from which about two hundred or more long forms were completed—which are large enough to produce good quality estimates. If smaller weighting areas had been used, the confidence intervals around the estimates would have been significantly wider, rendering many estimates less useful. . . .”

4. Suppose the Census Bureau decided to report on areas from which only 50 long forms were completed. What effect would that have on a 95% confidence interval for, say, the mean cost of housing? Specifically, which values used in the formula for the margin of error would change? Which would change a lot and which would change only slightly?

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Chapter 14 Solutions

Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)

Ch. 14 - More tips The waiter in Exercise 3 usually waits...Ch. 14 - More groceries Suppose the store in Exercise 4 had...Ch. 14 - Prob. 7ECh. 14 - t-models, part II Using the t tables, software, or...Ch. 14 - t-models, part III Describe how the shape, center,...Ch. 14 - Prob. 10ECh. 14 - Prob. 11ECh. 14 - Home sales again In the previous exercise, you...Ch. 14 - Prob. 13ECh. 14 - Salaries A survey finds that a 95% confidence...Ch. 14 - Cattle Livestock are given a special feed...Ch. 14 - Prob. 16ECh. 14 - Prob. 17ECh. 14 - Student survey revisited Chapter 2, Exercise 86...Ch. 14 - Prob. 19ECh. 14 - Prob. 20ECh. 14 - Meal plan After surveying students at Dartmouth...Ch. 14 - Prob. 22ECh. 14 - Prob. 23ECh. 14 - Crawling Data collected by child development...Ch. 14 - Prob. 25ECh. 14 - Credit card charges A credit card company takes a...Ch. 14 - Prob. 27ECh. 14 - Pulse rates In the latest National Health and...Ch. 14 - Prob. 29ECh. 14 - Parking Hoping to lure more shoppers downtown, a...Ch. 14 - Prob. 31ECh. 14 - Prob. 32ECh. 14 - Speed of light In 1882, Michelson measured the...Ch. 14 - Michelson After his first attempt to determine the...Ch. 14 - Prob. 35ECh. 14 - Prob. 36ECh. 14 - Prob. 37ECh. 14 - Hot dogs A nutrition lab tested 40 hot dogs to see...Ch. 14 - Prob. 39ECh. 14 - Prob. 40ECh. 14 - Prob. 41ECh. 14 - Computer lab fees The technology committee has...Ch. 14 - Prob. 43ECh. 14 - CEO compensation The total compensation of the...Ch. 14 - Prob. 45ECh. 14 - CEOs, revisited In Exercise 44, you looked at the...Ch. 14 - GPAs A colleges data about the incoming freshmen...Ch. 14 - Prob. 48ECh. 14 - Lucky spot? A reporter working on a story about...Ch. 14 - Prob. 50ECh. 14 - Pregnancy Assume that the duration of human...Ch. 14 - Rainfall Statistics from Cornells Northeast...Ch. 14 - Prob. 53ECh. 14 - Prob. 54ECh. 14 - Prob. 55ECh. 14 - Doritos Some students checked 6 bags of Doritos...Ch. 14 - Prob. 57ECh. 14 - Prob. 58ECh. 14 - Chips Ahoy! In 1998, as an advertising campaign,...Ch. 14 - Yogurt Consumer Reports tested 11 brands of...Ch. 14 - Prob. 61ECh. 14 - Prob. 62ECh. 14 - Prob. 63ECh. 14 - Wind power Should you generate electricity with...
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