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Chapter 10: Q. 62 (page 658)

Driving too fast How seriously do people view speeding in comparison with other annoying behaviors?

A large random sample of adults was asked to rate a number of behaviors on a scale of 1 (no problem at all) to 5(very severe problem). Do speeding drivers get a higher average rating than noisy neighbors?

Short Answer

Expert verified

The appropriate procedure is Two sample tests.

Step by step solution

01

Given Information

How do people see speed in comparison to other aggravating behaviors? An unusually large group of adults was asked to score a variety of practices on a scale of I (no problem at all) to 5(very serious problem) (extremely serious issue). Whether or whether speeding drivers receive a higher typical rating than their noisy neighbours.

02

Explanation

An independent two-sample test determines if the mean difference between two sets of observations is equal to, greater than, or less than 0. To check the behavior, two different groups of observations were studied in this test process.

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Most popular questions from this chapter

To study the long-term effects of preschool programs for poor children, researchers designed an experiment. They recruited 123children who had never attended preschool from low-income families in Michigan. Researchers randomly assigned 62of the children to attend preschool (paid for by the study budget) and the other 61to serve as a control group who would not go to preschool. One response variable of interest was the need for social services for adults. In the past 10years, 38children in the preschool group and 49 in the control group have needed social services.4 1. Does this study provide convincing evidence that preschool reduces the later need for social services? Carry out an appropriate test to help answer this question.

A scatterplot and a least-squares regression line are shown in the figure below. If the labeled point P(20,24)is removed from the data set, which of the following statements is true ?

(a) The slope will decrease, and the correlation will decrease.

(b) The slope will decrease, and the correlation will increase.

(c) The slope will increase, and the correlation will increase.

(d) The slope will increase, and the correlation will decrease.

(e) No conclusion can be drawn since the other coordinates are unknown.

The elderly fear crime more than younger people, even though they are less likely to be victims of crime. One study recruited separate random samples of 56black women and 63black men over the age of 65from Atlantic City, New Jersey. Of the women, 27said they “felt vulnerable” to crime; 46of the men said this.

(a) Construct and interpret a 90%confidence interval for the difference in population proportions (men minus women).

(b) Does your interval from part (a) give convincing evidence of a difference between the population proportions? Explain.

The two-sample t statistic for the road rage study (male mean minus female mean) is t=3.18. The P-value for testing the hypotheses from the previous exercise satisfies

(a) 0.001<P<0.005.

(b) 0.0005<P<0.001.

(c) 0.001<P<0.002.

(d) 0.002<P<0.01.

(e) P>0.01.

A fast-food restaurant uses an automated filling machine to pour its soft drinks. The machine has different settings for small, medium, and large drink cups. According to the machine’s manufacturer, when the large setting is chosen, the amount of liquid dispensed by the machine follows a Normal distribution with mean 27ounces and standard deviation 0.8ounces. When the medium setting is chosen, the amount of liquid dispensed follows a Normal distribution with mean 17ounces and standard deviation 0.5ounces. To test the manufacturer’s claim, the restaurant manager measures the amount of liquid in a random sample of 25cups filled with the medium setting and a separate random sample of 20 cups filled with the large setting. Let x1-x¯2be the difference in the sample mean amount of liquid under the two settings (large – medium). Find the probability thatx¯1-x¯2 is more than 12 ounces. Show your work.
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