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Chapter 2: Q 3. (page 103)

Speed limits According to the Los Angeles Times, speed limits on California highways are set at the 85th percentile of vehicle speeds on those stretches of road. Explain what that means to someone who knows little statistics.

Short Answer

Expert verified

85% of California vehicle speeds on those stretches of road are within the speed limits

Step by step solution

01

Step 1. Given

Speed limits on California highways are set at the 85th percentile of vehicle speeds on those stretches of road.

02

Step 2. Concept 

A score in the 95th percentile is a figure on a scale of 100 that represents the percent of a distribution that is equal to or below it.

03

Step 3. Explanation

The 85th percentile of vehicle speeds is used to set speed restrictions. Typically, the speed limit is established at the distance between the bottom 85 percent and the top 15% of vehicle speeds. That is, on particular stretches of road, 85% of California vehicle speeds are within the speed limits.

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Most popular questions from this chapter

Which of the following is least likely to have a nearly Normal distribution?

(a) Heights of all female students taking STAT 001 at State Tech.

(b) IQ scores of all students taking STAT 001 at State Tech.

(c) SAT Math scores of all students taking STAT 001 at State Tech.

(d) Family incomes of all students taking STAT 001 at State Tech.

(e) All of (a)鈥�(d) will be approximately Normal.

Baseball salaries Brad Lidge played a crucial role as the Phillies鈥� 鈥渃loser,鈥� pitching the end of many games throughout the season. Lidge鈥檚 salary for the 2008 season was $6,350,000

(a) Find the percentile corresponding to Lidge鈥檚 salary. Explain what this value means.

(b) Find the z-score corresponding to Lidge鈥檚 salary. Explain what this value means.

R2.8 Working backward

(a) Find the number zat the 80th percentile of a standard Normal distribution.

(b) Find the number localid="1649404103275" zsuch that localid="1649404108890" 35%of all observations from a standard Normal distribution are greater than localid="1649404115271" z.

- Use Table A to find the percentile of a value from any Normal distribution and the value that corresponds to a given percentile.

Density curves Sketch a density curve that might describe a distribution that is symmetric but has two peaks.

Two measures of center are marked on the density curve shown.

(a) The median is at the yellow line and the mean is at the red line.

(b) The median is at the red line and the mean is at the yellow line.

(c) The mode is at the red line and the median is at the yellow line.

(d) The mode is at the yellow line and the median is at the red line.

(e) The mode is at the red line and the mean is at the yellow line.
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