2.6. Doctor Disciplinary Actions. In the June 2003 issue of Health Letter, the Public Citizen Health Research Group ranked the states by serious doctor disciplinary actions per 1000 doctors for the year 2002 . Here are data for the 10 states with the lowest rates.

Identify the type of data provided by the information in each of the following columns of the table.

1. first
2. second
3. third

2.20: Residential Energy Consumption. The U.S. Energy Information Administration collects data on residential energy consumption and expenditures. Results are published in the document Residential Energy Consumption Survey: Consumption and Expenditures. The following table gives one year's energy consumptions for a sample of 50 households in the South. Data are in millions of BTLs.

Use classes of equal width beginning with 40 < 50 to construct a grouped-data table for these data.

2.21. Clocking the Cheetah. The Cheetah is the fastest land mammal on earth and is highly specialized to run down prey. According to the Cheetah Conservation of Southern Africa Trade Environment Database, the cheetah often exceeds speeds of 60 mph and has been clocked at speeds of more than 70 mph. The following table, based on information in the database, gives the speeds, in miles per hour, over a 1/4 mile for 35 cheetahs.

Use 52 as the first cutpoint and classes of equal width 2 to construct a grouped-data table for these speeds.

2.22. Residential Energy Consumption. Redo Exercise 2.20 by using the alternative method for grouping data based on class limits and class marks.

2.24. Household Size. The U.S. Bureau of the Census conducts nationwide surveys on characteristics of U.S. households and publishes the results in Current Population Reports. Following are data on the number of people per household for a sample of 40 households.

Construct a grouped-data table for these household sizes. Use classes based on a single value.

2.44. Household Size. The following table gives frequency and relative-frequency distributions for the data given in Exercise 2.24 on the number of people per household for a sample of 40 U.S. households.

1. Construct a frequency histogram.
2. Construct a relative-frequency histogram.

2.46: Exam Scores. Construct a dotplot for the following exam scores of the students in an introductory statistics class.

2.50. Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, Individual Income Tax Returns. The following relative-frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than $ 50,000.

2.64. High School Completion Rates. As reported by the L.S. Bureau of the Census in Current Population Reports, the percentage of adults in each state' and the District of Columbia who have completed high school is as follows.

Construct a stem-and-leaf diagram for the perccntages with

1. onelline perstem.
2. two lines per stem.
3. five lines per stem.
4. Which stem-and-leaf diagram do you consider most useful? Explain your answer.

#3.8: Net Worth. The Board of Governors of the Federal Reserve System publishes information on family net worth in the Federal Reserve Bulletin. In 2001 , the mean net worth of families in the United States was $ 395.5 thousand and the median net worth was $ 86.1 thousand. Which measure of center do you think is more appropriate? Explain your answer.

3.10. Hurricanes. A recent article by D. Schaefer et al. reported on a long-term study of the effects of hurricanes on tropical streams of the Luquillo Experimental Forest in Puerto Rico. The study shows that Hurricane Hugo had a significant impact on stream water chemistry. The following table shows a sample of 10 ammonia fluxes in the first year after Hugo. Data are in kilograms per hectare per year.

3.62. Parenting Grandparents. In the article "Grandchildren raised by Grandparents, a Troubling Trend" M. Blackburn considered the rates of children (under 18 years of age) living in California with grandparents as their primary caretakers. A sample of 14 California counties yielded the following percentages of children under 18 living with grandparents in 1990.

3.66. Parenting Grandparents. The percentage of children under 18 years old living with grandparents in 1990 for each of 14 California counties, as given in Exercise 3.62.

3.78: Identify each quantity as a parameter or a statistic.

1. $\mu$
2. s
3. $\bar{X}$
4. \(\sigma \)

3.86. Dart Doubles. The top two players in the 2001-2002 Professional Darts Corporation World Championship were Phil Taylor and Peter Manley. Taylor and Manley dominated the competition with a record number of doubles. A double is a throw that lands in either the outer ring of the dartboard or the outer ring of the bull's-eye. The following table provides the number of doubles thrown by each of the two players during the five rounds of competition, as found in Chance.

1. Using only basic calculator functions, obtain the individual population means of the number of doubles.
2. Without doing any calculations, decide for which player the standard deviation of the number of doubles is smaller. Explain your answer.
3. Using only basic calculator functions, obtain the individual population standard deviations of the number of doubles.
4. Are your answers to parts (b) and (c) consistent? Explain your answer.

3.88. Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable "gestation period" for humans.

1. Find the standardized variable corresponding to y.
2. What are the mean and standard deviation of the standardized variable?
3. Obtain the z-scores for gestation periods of 227 days and 315 days. Round your answers to two decimal places.
4. Interpret your answers in part (c).
5. Construct a graph similar to Fig. 3.15 on page 138 that shows your results from parts (b) and (c).

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