Business Applications 2-67. USA Today reported (Anthony Breznican and Gary Strauss, \"Where Have All the Moviegoers Gone?" June 23, 2005) that in the summer of 2005 ticket sales to movie theaters had fallen for 17 straight weeks, the industry's longest losing streak since 1985. To determine the long-term trends in ticket sales, the following data representing the number of admissions (in billions) were obtained from the National Association of Theatre Owners: Year 1987 1988 1989 1990 1991 1992 Admissions 1.09 1.08 1.26 1.19 1.14 1.17 Year 1993 1994 1995 1996 1997 1998 Admissions 1.24 1.28 1.26 1.34 1.39 1.48 Year 1999 2000 2001 2002 2003 2004 Admissions 1.47 1.42 1.49 1.63 1.57 1.53 Year 2005 2006 2007 Admissions 1 .38 1.41 1.40 a. Produce a line plot of the data. b. Describe any trends that you detect. 2-68. The following data represent the commuting distances for employees of the Pay-and-Carry Department store. a. The personnel manager for Pay-and-Carry would like you to develop a frequency distribution and histogram for these data. b. Develop a stem and leaf diagram for these data. c. Break the data into three groups (under 3 miles, 3 and under 6 miles, and 6 and over). Construct a pie chart to illustrate the proportion of employees in each category. Commuting Distance (miles) 3.5 2.0 4.0 2.5 0.3 1.0 12.0 17.5 3.0 3. 5 6.5 9.0 3.0 4.0 9.0 16.0 3.5 0.5 2.5 1.0 0.7 1.5 1.4 12.0 9.2 8. 3 1.0 3.0 7.5 3.2 2.0 1.0 3.5 3.6 1.9 2.0 3.0 1.5 0.4 6.4 11.0 2.5 2.4 2.7 4.0 2.0 2.0 3.0 d. Referring to part 0, construct a bar chart to depict the proportion of employees in each category. 2-69. Anyone attending college realizes tuition costs have increased rapidly. In fact, tuition had risen at a faster pace than ination for more than two decades. Data showing costs for both private and public colleges, for selected years, are shown below. Year 1984 1989 1994 1999 2004 Private College $9,202 $12,146 $13,844 $16,454 $19,710 Tuition Public College $2, 074 $ 2,395 $3 ,188 $ 3,632 $ 4,694 Tuition a. Construct one bar graph illustrating the relationship between private and public university tuition for the displayed years. b. Describe the tuition trend for both private and public college tuition. 2-70. A recent article in USA Today used the following data to illustrate the decline in the percentage of men who receive college and advanced degrees: Bachelor Doctorate 1989 2003 201 4* 1989 2003 2014* Men 47 43 40 64 57 49 Women 53 57 60 36 43 5 1 *Education Department projection. a. Use one graph that contains two bar charts, each of which represents the kind of degree received, to display the relationship between the percentages of men and women receiving each type of degree. b. Describe any trends that might be evident. 2-71. The Minnesota State Fishing Bureau has contracted with a university biologist to study the length of walleyes (sh) caught in Minnesota lakes. The biologist collected data on a sample of 1,000 sh caught and developed the following relative frequency distribution: Glass Length (inches) Relative Frequency fl, 8 to less than 10 .22 10101essthan12 .15 12 to less than 14 .25 14 to less than 16 .24 16 to less than 18 .06 18 to less than 20 .05 20 to less than 22 .03 a. Construct a frequency distribution from this relative frequency distribution and then produce a histogram based on the frequency distribution. b. Construct a pie chart from the relative frequency distribution. Discuss which of the two graphs, the pie chart or the histogram, you think is more effective in presenting the sh length data. 2-72.A computer software company has been looking at the amount of time customers spend on hold after their call is answered by the central switchboard. The company would like to have at most 2% of the callers wait two minutes or more. The company's calling service has provided the following data showing how long each of last month's callers spent on hold