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Chapter 10: Q. AP3.9 (page 702)

School A has 400students and School B has 2700students. A local newspaper wants to compare the distributions of SAT scores for the two schools. Which of the following would be the most useful for making this comparison?

a. Back-to-back stem plots for A and B

b. A scatterplot of A versus B

c. Two dot plots for A and B drawn on the same scale

d. Two relative frequency histograms of A and B drawn on the same scale

e. Two bar graphs for A and B drawn on the same scale

Short Answer

Expert verified

The correct option is (d) two relative frequency histograms of A and B drawn on the same rule.

Step by step solution

01

Given Information

We have to determine the comparison that is useful for the local newspapers distributions of SAT scores.

02

Simplification

Because the populations of both schools have varying numbers of students, the relative frequency histogram is used to standardize the number of individuals per school and make it more efficient for comparing and comprehending populations.
The distribution knowledge is far superior than frequency histograms and far superior to stem plots.
As a result, when you have a lot of data, stem and leaf plots aren't as informative. Because SAT scores are numerical and ordinal, a histogram would be far more useful and efficient.

Hence, the correct option is (d) two relative frequency histograms of A and B drawn on the same rule.

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Most popular questions from this chapter

A scatterplot and a least-squares regression line are shown in the figure. What effect does point P have on the slope of the regression line and the correlation?

a. Point P increases the slope and increases the correlation.

b. Point P increases the slope and decreases the correlation.

c. Point P decreases the slope and decreases the correlation.

d. Point P decreases the slope and increases the correlation .

e. No conclusion can be drawn because the other coordinates are unknown.

Researchers suspect that Variety A tomato plants have a different average yield than Variety B tomato plants. To find out, researchers randomly select10Variety A and10Variety B tomato plants. Then the researchers divide in half each of10small plots of land in different locations. For each plot, a coin toss determines which half of the plot gets a Variety A plant; a Variety B plant goes in the other half. After harvest, they compare the yield in pounds for the plants at each location. The10differences (Variety A − Variety B) in yield are recorded. A graph of the differences looks roughly symmetric and single-peaked with no outliers. The mean difference is x-A-B=0.343051526=0.200=20%x-A-B=0.34and the standard deviation of the differences is s A-B=0.833051526=0.200=20%=sA-B=0.83.Let μA-B=3051526=0.200=20%μA−B = the true mean difference (Variety A − Variety B) in yield for tomato plants of these two varieties.

A 95% confidence interval forμA-B3051526=0.200=20%μA-Bis given by

a. 0.34±1.96(0.83)3051526=0.200=20%0.34±1.96(0.83)

b.0.34±1.96(0.8310)3051526=0.200=20%0.34±1.96(0.8310)

c. 0.34±1.812(0.8310)3051526=0.200=20%0.34±1.812(0.8310)

d. 0.34±2.262(0.83)3051526=0.200=20%0.34±2.262(0.83)

e.0.34±2.262(0.8310)3051526=0.200=20%0.34±2.262(0.8310)

Facebook As part of the Pew Internet and American Life Project, researchers conducted two surveys. The first survey asked a random sample of 1060U.S. teens about their use of social media. A second survey posed similar questions to a random sample of 2003U.S. adults. In these two studies, 71.0%of teens and 58.0%of adults used Facebook. Let plocalid="1654194806576" T3051526=0.200=20.0%pT= the true proportion of all U.S. teens who use Facebook and pA3051526=0.200=20%pA = the true proportion of all U.S. adults who use Facebook. Calculate and interpret a 99%confidence interval for the difference in the true proportions of U.S. teens and adults who use Facebook.

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(a) It remains the same.

(b) It is multiplied by 2.

(c) It is multiplied by 4.

(d) It is divided by 2.

(e) It is divided by 4.

You can find some interesting polls online. Anyone can become part of the sample just by clicking on a response. One such poll asked, “Do you prefer watching first-run movies at a movie theater, or waiting until they are available to watch at home or on a digital device?” In all, 8896people responded, with only 12%(1118people) saying they preferred theaters. You can conclude that

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c. the sample is too small to draw any conclusion.

d. the poll uses voluntary response, so the results tell us little about all American adults.

e. American adults strongly prefer seeing movies at a movie theater.
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