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Chapter 2: Q.2.75 (page 135)

Gas it up! (1.3) Interested in a sporty car? Worried that it might use too much gas? The Environmental Protection Agency lists most such vehicles in its 鈥渢wo-seater鈥� or 鈥渕inicompact鈥� categories. The figure shows boxplots for both city and highway gas mileages for our two groups of cars. Write a few sentences comparing these distributions.

Short Answer

Expert verified

Both on the highway and in the city, two-seater cars get better fuel economy than mini compacts.

Step by step solution

01

Given information

Given in the question that a graph,

02

Solution

Below is a graph illustrating the mileage of city and highway vehicles of both groups,

In both groups of vehicles, it is evident that the mileage per gallon on the highway is higher than in the city.

On the highway as well as in the city, two-seater cars get better mileage than their mini-compact counterparts.

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Most popular questions from this chapter

T2.4. The figure shows a cumulative relative frequency graph of the number of ounces of alcohol consumed per week in a sample of 150adults. About what percent of these adults consume between 4and 8ounces per week?

(a)20%(b)40%(c)50%(d)60%(e)80%

Use Table A to 铿乶d the value zfrom the standard Normal distribution that satis铿乪s each of the following conditions. In each case, sketch a standard Normal curve with your value of zmarked on the axis. Use your calculator or the Normal Curve applet to check your answers.

Working backward

(a) The 10th percentile.

(b) 34% of all observations are greater thanz.

Measuring bone density Individuals with low bone density have a high risk of broken bones (fractures). Physicians who are concerned about low bone density (osteoporosis) in patients can refer them for specialized testing. Currently, the most common method for testing bone density is dual-energy X-ray absorptiometry (DEXA). A patient who undergoes a DEXA test usually gets bone density results in grams per square centimeter(g/cm2)and in standardized units. Judy, who is 25years old, has her bone density measured using DEXA. Her results indicate a bone density in the hip948g/cm2and a standardized score ofz=鈭�1.45. In the reference population of For 25-year-old women like Judy, the mean bone density in the hip is 956g/cm2

(a) Judy has not taken a statistics class in a few years. Explain to her in simple language what the standardized score tells her about her bone density.

(b) Use the information provided to calculate the standard deviation of bone density in the reference population.

If Mrs. Navard had the entire class stand on a 6-inch-high platform and then had the students measure the distance from the top of their heads to the ground, how would the shape, center, and spread of this distribution compare with the original height distribution?

T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the 1985School Population Fitness Survey. For the Presidential award, the standard for each event is the 85thpercentile of the results for a specific age group and gender among students who participated in the 1985survey. For the National award, the standard is the 50th percentile. To win either award, a student must meet the qualifying standard for all five events.
Jane, who is 9years old, did 40curl-ups in one minute. Matt, who is 12years old, also did 40curl-ups in one minute. The qualifying standard for the Presidential award is 39curl-ups for Jane and 50curl-ups for Matt. For the National award, the standards are 30and 40, respectively.
(a) Compare Jane's and Matt's performances using percentiles. Explain in language simple enough for someone who knows little statistics to understand.
(b) Who has the higher standardized value (z-score), Jane or Matt? Justify your answer.
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