# Question

The U.S. Census Bureau (2000 census) reported the following relative frequency distribution for travel time to work for a large sample of adults who did not work at home:

a. Draw the histogram for the travel time distribution. In constructing the histogram, assume that the last interval in the relative frequency distribution (90 or more) ends at 200; so the last interval is 90 to _200. Be sure to use the density scale to determine the heights of the bars in the histogram because not all the intervals have the same width.

b. Describe the interesting features of the histogram from Part (a), including center, shape, and spread.

c. Based on the histogram from Part (a), would it be appropriate to use the Empirical Rule to make statements about the travel time distribution? Explain why or why not.

d. The approximate mean and standard deviation for the travel time distribution are 27 minutes and 24 minutes, respectively. Based on this mean and standard deviation and the fact that travel time cannot be negative, explain why the travel time distribution could not be well approximated by a normal curve.

e. Use the mean and standard deviation given in Part (d) and Chebyshev’s Rule to make a statement about i. the percentage of travel times that were between 0 and 75 minutes ii. the percentage of travel times that were between 0 and 47 minutes

f. How well do the statements in Part (e) based on Chebyshev’s Rule agree with the actual percentages for the travel time distribution?

a. Draw the histogram for the travel time distribution. In constructing the histogram, assume that the last interval in the relative frequency distribution (90 or more) ends at 200; so the last interval is 90 to _200. Be sure to use the density scale to determine the heights of the bars in the histogram because not all the intervals have the same width.

b. Describe the interesting features of the histogram from Part (a), including center, shape, and spread.

c. Based on the histogram from Part (a), would it be appropriate to use the Empirical Rule to make statements about the travel time distribution? Explain why or why not.

d. The approximate mean and standard deviation for the travel time distribution are 27 minutes and 24 minutes, respectively. Based on this mean and standard deviation and the fact that travel time cannot be negative, explain why the travel time distribution could not be well approximated by a normal curve.

e. Use the mean and standard deviation given in Part (d) and Chebyshev’s Rule to make a statement about i. the percentage of travel times that were between 0 and 75 minutes ii. the percentage of travel times that were between 0 and 47 minutes

f. How well do the statements in Part (e) based on Chebyshev’s Rule agree with the actual percentages for the travel time distribution?

## Answer to relevant Questions

Mobile homes are tightly constructed for energy conservation. This can lead to a buildup of indoor pollutants. The paper “A Survey of Nitrogen Dioxide Levels Inside Mobile Homes” (Journal of the Air Pollution Control ...An advertisement for the “30 inch Wonder” that appeared in the September 1983 issue of the journal Packaging claimed that the 30 inch Wonder weighs cases and bags up to 110 pounds and provides accuracy to within 0.25 ...The paper “Portable Social Groups: Willingness to Communicate, Interpersonal Communication Gratifications, and Cell Phone Use among Young Adults” (International Journal of Mobile Communications [2007]: 139–156) ...For the data in Exercise 4. 60, subtract 10 from each sample observation. For the new set of values, compute the mean and the deviations from the mean. How do these deviations compare to the deviations from the mean for the ...USA Today (May 9, 2006) published the accompanying average weekday circulation for the 6-month period ending March 31, 2006, for the top 20 newspapers in the country: a. Do you think the mean or the median will be larger ...Post your question

0