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Chapter 10: Q. 9 (page 667)

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

(a) Back-to-back stemplots for A and B

(b) A scatterplot of A versus B

(c) Dotplots 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 frequency histograms for A and B drawn on the same scale

Short Answer

Expert verified

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

Step by step solution

01

Given information

we have been given that A has 400students and B has 2700students.

02

Explanation

As we know that both populations have different number of the students.A frequency histogram makes it much more efficient at comapring populations and understanding their distribution and infinitely better.

It is very clear that when you have large amount of data plots are not useful.In these cases histogram would be better.

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Most popular questions from this chapter

Final grades for a class are approximately Normally distributed with a mean of 76and a standard deviation of 8. A professor says that the top 10%of the class will receive an A, the next 20%a B, the next 40%a C, the next 20%a D, and the bottom 10%an F. What is the approximate maximum average a student could attain and still receive an F for the course?

(a) 70

(b)69.27

(c) 65.75

(d) 62.84

(e)57

Let Xrepresent the score when a fair six-sided die is rolled. For this random variable,μX=3.5 and σX=1.71. If the die is rolled 100times, what is the approximate probability that the total score is at least375?

A random sample of 200 New York State voters included 88 Republicans, while a random sample of 300 California voters produced 141 Republicans. Which of the following represents the 95%confidence interval that should be used to estimate the true difference in the proportions of Republicans in New York State and California?

(a) (0.44-0.47)±1.96(0.44)(0.56)+(0.47)(0.53)200+300

(b) (0.44-0.47)±1.96(0.44)(0.56)200+(0.47)(0.53)300

(c) (0.44-0.47)±1.96(0.44)(0.56)200+(0.47)(0.53)300

(d)(0.44-0.47)±1.96(0.44)(0.56)+(0.47)(0.53)200+300

(e) (0.44-0.47)±1.96(045)(0.55)1200+1300

How quickly do synthetic fabrics such as polyester decay in landfills? A researcher buried polyester strips in the soil for different lengths of time, then dug up the strips and measured the force required to break them. Breaking strength is easy to measure and is a good indicator of decay. Lower strength means the fabric has decayed. For one part of the study, the researcher buried 10strips of polyester fabric in well-drained soil in the summer. The strips were randomly assigned to two groups: 5of them were buried for 2weeks and the other 5were buried for 16weeks. Here are the breaking strengths in pounds

Do the data give good evidence that polyester decays more in 16weeks than in 2weeks? Carry out an appropriate test to help answer this question .

Seat belt use: The proportion of drivers who use seat belts depends on things like age (young people are more likely to go unbelted) and gender (women are more likely to use belts). It also depends on local law. In New York City, police can stop a driver who is not belted. In Boston at the time of the study, police could cite a driver for not wearing a seat belt only if the driver had been stopped for some other violation. Here are data from observing random samples of female Hispanic drivers in these two cities:

(a) Is this an experiment or an observational study? Why?

(b) Construct and interpret a 95%confidence interval for the difference in the proportions of female Hispanic drivers in the two cities who wear seat belts.

(c) Based on the laws in the two cities, we would expect a smaller proportion of drivers to wear seat belts in Boston than in New York. Does the confidence interval in part (b) give good evidence that this is true for female Hispanic drivers? Justify your answer.
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