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elementary statistics

Just The Essentials Of Elementary Statistics 10th Edition Robert Johnson, Patricia Kuby - Solutions

[EX02-109] The following data are the yields (in pounds) of hops:3.9 3.4 5.1 2.7 4.4 7.0 5.6 2.6 4.8 5.6 7.0 4.8 5.0 6.8 4.8 3.7 5.8 3.6 4.0 5.6a. Find the first and the third quartiles of the yields.b. Find the midquartile.c. Find and explain the percentiles P15, P33, and P90.
[EX02-108] Fifteen countries were randomly selected from the World Factbook 2004 list of world countries, and the infant mortality per 1000 live births rate was recorded:6.38 101.68 9.48 69.18 64.19 3.73 21.31 52.71 13.43 29.64 15.24 5.85 11.74 9.67 8.68 Source: The World Factbook 2004a. Find the
[EX02-107] The annual salaries (in $100)of the kindergarten and elementary school teachers employed at one of the elementary schools in the local school district are listed here:574 434 455 413 391 471 458 269 501 326 367 433 367 495 376 371 295 317a. Draw a dotplot of the salaries.b. Using the
[EX02-106] Following are the American College Test (ACT) scores attained by the 25 members of a local high school graduating class:21 24 23 17 31 19 19 20 19 25 17 23 16 21 20 28 25 25 21 14 19 17 18 28 20a. Draw a dotplot of the ACT scores.b. Using the concept of depth, describe the position of 24
Refer to the table of exam scores in Table 2.16 on page 94 for the following.a. Using the concept of depth, describe the position of 91 in the set of 50 exam scores in two different ways.b. Find P20 and P35 for the exam scores in Table 2.16 on page 94.c. Find P80 and P95 for the exam scores in
Each of two samples has a standard deviation of 5. If the two sets of data are made into one set of 10 data, will the new sample have a standard deviation that is less than, about the same as, or greater than the original standard deviation of 5?Make up two sets of five data, each with a standard
Start with x 100 and add four x values to make a sample of five data such that:a. s 0b. 0 s 1c. 5 s 10d. 20 s 30
Comment on the statement: “The mean loss for customers at First State Bank (which was not insured) was $150. The standard deviation of the losses was $125.”
[EX02-099] One measure of airline performance is about overall flight on-time rates. For January 2005, the on-time arrival rates of domestic flights at the 31 largest U.S. airports were as follows.ATL 69.1 BWI 74.0 BOS 62.1••• Remainder of data on Student’s Suite CD-ROM Source: U.S.
[EX02-098] Better Roads magazine reported the percentage of interstate and state-owned bridges that were structurally deficient or functionally obsolete (%SD/FO) for each U.S. state in 2003. (Percentages are expressed in decimal form[e.g., 0.20 20%].)State SD/FO* State SD/FO* State SD/FO*AK 0.20
[EX02-097] Recruits for a police academy were required to undergo a test that measures their exercise capacity. The exercise capacity (in minutes) was obtained for each of 20 recruits:25 27 30 33 30 32 30 34 30 27 26 25 29 31 31 32 34 32 33 30a. Draw a dotplot of the data.b. Find the mean.c. Find
[EX02-096] One aspect of the beauty of scenic landscape is its variability. The elevations (feet above sea level) of 12 randomly selected towns in the Finger Lakes Regions of Upstate New York are recorded here.559 815 767 668 651 895 1106 1375 861 1559 888 1106 Source: http://www.city-data.coma.
Adding (or subtracting) the same number from each value in a set of data does not affect the measures of variability for that set of data.a. Find the variance of this set of annual heatingdegree-day data: 6017, 6173, 6275, 6350, 6001, 6300.b. Find the variance of this set of data (obtained by
[EX02-071] A random sample of 10 of the 2005 Nextel Cup NASCAR drivers produced the following ages: 33, 48, 41, 29, 40, 48, 44, 42, 49, 28.a. Find the range.b. Find the variance.c. Find the standard deviation.
Fifteen randomly selected college students were asked to state the number of hours they slept the previous night. The resulting data are 5, 6, 6, 8, 7, 7, 9, 5, 4, 8, 11, 6, 7, 8, 7. Find the following:a. Variance s2, using formula (2.6)b. Variance s2, using formula (2.10)c. Standard deviation, s
Given the sample 7, 6, 10, 7, 5, 9, 3, 7, 5, 13, find the following:a. Variance s2 using formula (2.6)b. Variance s2, using formula (2.10)c. Standard deviation, s
Consider the sample 6, 8, 7, 5, 3, 7. Find the following:a. Rangeb. Variance s2, using formula (2.6)c. Standard deviation, s
Consider the sample 2, 4, 7, 8, 9. Find the following:a. Rangeb. Variance s2, using formula (2.6)c. Standard deviation, s
A sample contains the data {1, 3, 5, 6, 10}.a. Use formula (2.6) to find the variance.b. Use formula (2.10) to find the variance.c. Compare the results from parts a and b.
All measures of variation are nonnegative in value for all sets of data.a. What does it mean for a value to be “nonnegative”?b. Describe the conditions necessary for a measure of variation to have the value zero.c. Describe the conditions necessary for a measure of variation to have a positive
The summation (x x) is always zero.Why? Think back to the definition of the mean(p. 73) and see if you can justify this statement.
a. The data value x 45 has a deviation value of 12. Explain the meaning of this.b. The data value x 84 has a deviation value of 20. Explain the meaning of this.
In 2004 the Tax Policy Center reported the following statistics about the average annual 2002 taxes and percent of personal income paid per person by state.Taxes per Percent of Capita Rank Personal Income Rank Hawaii $2748 1 9.6 1 South Dakota $1283 50 4.8 47 New Hampshire $1478 45 4.4 50 Sources:
Starting with the data values 70 and 100, add three data values to the sample so that the sample has the following: (Justify your answer in each case.)a. Mean of 100b. Median of 70c. Mode of 87d. Midrange of 70e. Mean of 100 and a median of 70f. Mean of 100 and a mode of 87 g. Mean of 100 and a
Your instructor and your class have made a deal on the exam just taken and currently being graded. If the class attains a mean score of 74 or better, there will be no homework on the coming weekend. If the class mean is 72 or below, then not only will there be homework as usual but all of the class
In what states do the residents pay the most taxes? the least? Perhaps it depends on the variable used to measure amount of taxes paid. In 2004 the Tax Policy Center reported the following statistics about the average annual 2002 taxes and percent of personal income paid per person by state.Taxes
You are responsible for planning the parking needed for a new 256-unit apartment complex, and you’re told to base the needs on the statistic“average number of vehicles per household is 1.9.”a. Which average (mean, median, mode, midrange)will be helpful to you? Explain.b. Explain why 1.9
[EX02-079] Students like to engage in the“Battle of the Sexes” when it comes to who’s the better driver. But which gender outnumbers the other on the road? The numbers may surprise you.Listed here is the number of licensed male and female drivers in each of 18 randomly selected states.State
[EX02-078] Does everything increase, every year? Sometimes it seems like it! The annual percentage rate of increase in motor-fuel consumption for 2002 to 2003 is listed in the following table by U.S. state. Notice that the consumption did not increase in every state and not all states reported.1.8
[EX02-077] The number of runs scored by major league baseball (MLB) teams is likely influenced by whether the game is played at home or at the opponents’ ballpark. In an attempt to measure differences between playing at home or away, the average number of runs scored per game by each MLB team
[EX02-076] Consumers are frequently cautioned against eating too much food that is high in calories, fat, and sodium for numerous health and fitness reasons. Nutrition Action HealthLetter published a list of popular low-fat brands of hot dogs commonly labeled “fat-free,” “reduced fat,”
[EX02-075] All the third-graders at Roth Elementary School were given a physical fitness strength test. These data resulted:12 22 6 9 2 9 5 9 3 5 16 1 22 18 6 12 21 23 9 10 24 21 17 11 18 19 17 5 14 16 19 19 18 3 4 21 16 20 15 14 17 4 5 22 12 15 18 20 8 10 13 20 6 9 2 17 15 9 4 15 14 19 3 24a.
The “average” is a commonly reported statistic.This single bit of information can be very informative or very misleading, with the mean and median being the two most commonly reported.a. The mean is a useful measure, but it can be misleading. Describe a circumstance when the mean is very useful
[EX02-073] One measure of airline performance is overall flight on-time rates. For January 2005, the on-time arrival rates of domestic flights at the 31 largest U.S. airports were as follows.ATL 69.09 BWI 74.01 BOS 62.14••• Remainder of data on Student’s Suite CD-ROM Source: U.S. Department
[EX02-072] A constant objective in the manufacture of contact lenses is to improve those features that affect lens power and visual acuity.One such feature involves the tooling from which lenses are ultimately manufactured. The results of initial process development runs were examined for critical
[EX02-071] A random sample of 10 of the 2005 Nextel Cup NASCAR drivers produced the following ages: 33, 48, 41, 29, 40, 48, 44, 42, 49, 28.a. Find the mean age for the 10 NASCAR drivers of the 2005 Nextel Cup.b. Find the median age for the 10 NASCAR drivers of the 2005 Nextel Cup.c. Find the
2.70 Fifteen randomly selected college students were asked to state the number of hours they slept the previous night. The resulting data values are 5, 6, 6, 8, 7, 7, 9, 5, 4, 8, 11, 6, 7, 8, 7. Find the following:a. mean, ¯ xb. median, ˜ xc. moded. midrange
2.69 Consider the sample 6, 8, 7, 5, 3, 7. Find the following:a. mean, ¯ xb. median, ˜ xc. moded. midrange
2.68 Consider the sample 2, 4, 7, 8, 9. Find the following:a. mean, ¯ xb. median, ˜ xc. moded. midrange
2.67a. Find the mean, median, mode, and midrange for the sample data 9, 6, 7, 9, 10, 8.b. Verify and discuss the relationship between the answers in parta, as shown in Figure 2.20 on page 77.
2.66 Each year, approximately 160 colleges compete in the National Concrete Canoe Competition.Each team must design a seaworthy canoe from a substance not known for its capacity to float. The canoes must weigh between 100 and 350 pounds.Find the midrange.Source: Reader’s Digest, March 2005
2.65 The number of cars per apartment owned by a sample of tenants in a large complex is 1, 2, 1, 2, 2, 2, 1, 2, 3, 2. What is the mode?
2.63 Find the median rate paid at Jim’s Burgers if the workers’ hourly rates are $4.25, $4.15, $4.90,$4.25, $4.60, $4.50, $4.60, $4.75.
2.62 Find the median height of a basketball team:73, 76, 72, 70, and 74 inches.
2.61 Interstate 29 intersects many other highways as it crosses four states in Mid-America, stretching from the southern end in Kansas City, MO, at I-35 to the northern end in Pembina, ND, at the Canadian border.U.S. Interstate 29 Number of Number of State Miles Intersections State Miles
2.60 U.S. Interstate 64 runs between Portsmouth, VA, at I-264 on the eastern end to St. Louis, MO, at I-270 on the western end. While passing through six states and five more major cities, I-64 intersects nine more interstate highways. The number of miles in each state is as follows:Missouri—16
2.58 The number of children, x, belonging to each of eight families registering for swimming was 1, 2, 1, 3, 2, 1, 5, 3. Find the mean, ¯ x.
2.57 Explain why it is possible to find the mean for the data of a quantitative variable but not for a qualitative variable.
2.55 [EX02-055] The Quality of Life in the Nation’s 100 Largest Cities and Their Suburbs: New and Continuing Challenges for Improving Health and Well-Being, June 2004, reports on the percent of poor population living in a high-poverty neighborhood in 82 U.S. cities:29.8 21.4 32.0 5.9
2.53 [EX02-041]a. Prepare a cumulative relative frequency distribution for the variable “KSW test score” in Exercise 2.41.b. Construct an ogive of the distribution.
2.52 [EX02-032]a. Prepare a cumulative relative frequency distribution for the variable “AP score” in Exercise 2.32.b. Construct an ogive of the distribution.
2.51 A survey of 100 resort club managers on their annual salaries resulted in the following frequency distribution. (See Exercise 2.39 on p. 69.)Annual Salary 15–25 25–35 35–45 45–55 55–65($1000s)No. of Managers 12 37 26 19 6a. Prepare a cumulative frequency distribution for the annual
2.49 Can you think of variables whose distribution might yield the following different shapes?(See Figure 2.13 on p. 63 if necessary.)a. A symmetrical, or normal, shapeb. A uniform shapec. A skewed-to-the-right shaped. A skewed-to-the-left shapee. A bimodal shape
2.48 [EX02-048] Education has long been considered the ticket for upward mobility in the United States. In today’s information age, a college education has become the minimum level of educational attainment to enter an increasingly competitive market for jobs with more than subsistence wages. A
2.47 [EX02-047] The Office of Coal, Nuclear, Electric and Alternate Fuels reported the following data as the costs (in cents) of the average revenue per kilowatt-hour for sectors in Arkansas:6.61 7.61 6.99 7.48 5.10 7.56 6.65 5.93 7.92 5.52 7.47 6.79 8.27 7.50 7.44 6.36 5.20 5.48 7.69 8.74 5.75
2.46 [EX02-046] People have marveled for years about the continuing eruptions of the geyser Old Faithful in Yellowstone National Park. The times of duration, in minutes, for a sample of 50 eruptions of Old Faithful are listed here.4.00 3.75 2.25 1.67 4.25 3.92 4.53 1.85 4.63 2.00 1.80 4.00 4.33
2.45 [EX02-045] All of the third-graders at Roth Elementary School were given a physical-fitness strength test. The following data resulted:12 22 6 9 2 9 5 9 3 5 16 1 22 18 6 12 21 23 9 10 24 21 17 11 18 19 17 5 14 16 19 19 18 3 4 21 16 20 15 14 17 4 5 22 12 15 18 20 8 10 13 20 6 9 2 17 15 9 4 15
2.44 [EX02-044] The hemoglobin A1c test, a blood test given to diabetics patients during their periodic checkups, indicates the level of control of blood sugar during the past 2 to 3 months. The following data values were obtained for 40 different diabetics patients at a university clinic:6.5 5.0
2.43 [EX02-043] The speeds of 55 cars were measured by a radar device on a city street:27 23 22 38 43 24 35 26 28 18 20 25 23 22 52 31 30 41 45 29 27 43 29 28 27 25 29 28 24 37 28 29 18 26 33 25 27 25 34 32 36 22 32 33 21 23 24 18 48 23 16 38 26 21 23a. Classify these data into a grouped frequency
2.42 [EX02-042] The USA Snapshot titled “Nuns an aging order” reports that the median age of the 94,022 Roman Catholic nuns in the United States is 65 years and the percentages of U.S. nuns by age group are as follows:Under 50 51–70 Over 70 Refused to give age 16% 42% 37% 5%This information
2.41[EX02-041] The KSW computer science aptitude test was given to 50 students. The following frequency distribution resulted from their scores:KSW Test Score 0–4 4–8 8–12 12–16 16–20 20–24 24–28 Frequency 4 8 8 20 6 3 1a. What are the class boundaries for the class with the largest
2.37 [EX02-037] The opening-round scores for the Ladies’ Professional Golf Association tournament at Locust Hill Country Club were posted as follows:69 73 72 74 77 80 75 74 72 83 68 73 75 78 76 74 73 68 71 72 75 79 74 75 74 74 68 79 75 76 75 77 74 74 75 75 72 73 73 72 72 71 71 70 82 77 76 73 72
2.36 [EX02-036] Here are the ages of 50 dancers who responded to a call to audition for a musical comedy:21 19 22 19 18 20 23 19 19 20 19 20 21 22 21 20 22 20 21 20 21 19 21 21 19 19 20 19 19 19 20 20 19 21 21 22 19 19 21 19 18 21 19 18 22 21 24 20 24 17a. Prepare an ungrouped frequency
2.35 [EX02-035] The 2003 American Community Survey universe is limited to the household population and excludes the population living in institutions, college dormitories, and other group quarters. The accompanying table lists the number of rooms in each of the 8,658,290 housing units in
2.34 [EX02-034] The U.S. Census Bureau posted the following 2003 Report on America’s Families and Living Arrangements for all races.No. in Household Percentage No. in Household Percentage 1 26.4% 5 6.3%2 33.3% 6 2.3%3 16.1% 7 1.2%4 14.3%Source:
2.33 [EX02-033] The U.S. Women’s Olympic Soccer team had a great year in 2004. One way to describe the players on that team is by their individual heights.Height (inches)68 67 65 66 65 67 64 69 69 65 64 71 66 67 68 66 65 71 Source: http://www.SoccerTimes.coma. Construct an ungrouped frequency
2.32 [EX02-032] The California Department of Education gives an annual report on the Advanced Placement (AP) test results for each year. In the 2003–2004 school year, Modoc County had students with the following scores:2 3 2 1 2 3 3 2 2 3 5 3 2 2 2 4 5 1 2 2 4 3 2 2 5 4 1 4 2 4 5 2 3 2 3 2 3 3 5
2.31 [EX02-031] The players on the Rochester Raging Rhinos professional soccer team scored 38 goals during the 2002 season.Player 1 2 3 4 5 6 7 8 9 10 11 12 13 Goals 2 8 1 2 2 6 2 1 5 2 3 2 2 Source: http://www.rhinossoccer.com/team.aspa. If you want to show the number of goals scored by each
2.30 Bar graphs and histograms are not the same thing. Explain their similarities and differences.
2.29a. Form an ungrouped frequency distribution of the following data:1, 2, 1, 0, 4, 2, 1, 1, 0, 1, 2, 4 Referring to the preceding distribution:b. Explain what f 5 represents.c. What is the sum of the frequency column?d. What does this sum represent?
2.28 A term often used in solar energy research is heating-degree-days. This concept is related to the difference between an indoor temperature of 65°F and the average outside temperature for a given day. An average outside temperature of 5°F gives 60 heating-degree-days. The annual
2.27 Given the following stem-and-leaf display:Stem-and-Leaf of C1 N 16 Leaf Unit 0.010 1 59 7 4 60 148(5) 61 02669 7 62 0247 3 63 58 1 64 3a. What is the meaning of “Leaf Unit 0.010”?b. How many data are shown on this stem-andleaf display?c. List the first four data values.d. What is the
2.26 [EX02-026] One of the many things the U.S.Census Bureau reports to the public is the increase in population for various geographic areas within the country. The percentages of increase in population for the 24 fastest-growing counties in the United States from April 1, 2000, to July 1, 2003,
2.23 [EX02-017] Construct a stem-and-leaf display of the number of points scored during each basketball game last season:56 54 61 71 46 61 55 68 60 66 54 61 52 36 64 51
2.19 [EX02-019] HoopsHype.com regularly posts the latest on the NBA. Following are the heights(in inches) of the basketball players who were the first round picks by the professional teams on June 24, 2004:82 82 74 79 75 79 80 83 78 79 83 85 71 81 81 78 80 78 79 72 89 81 80 74 76 79 78 75 84
2.18 [EX02-018] The table here lists the median house selling prices (in $1000s) for 20 U.S. cities as listed on Realtor.com.120 120 120 119 117 117 116 116 115 115 114 114 112 112 112 111 109 107 105 105 Source: http://www.realtor.org/Research.nsf/pages/EconHousingDataa. Construct a dotplot of
2.17 [EX02-017] The number of points scored during each game by a high school basketball team last season was as follows: 56, 54, 61, 71, 46, 61, 55, 68, 60, 66, 54, 61, 52, 36, 64, 51. Construct a dotplot of these data.
2.14 [EX02-014] The Office of Aviation Enforcement and Proceedings, U.S. Department of Transportation, posted this table listing the number of consumer complaints against top U.S. airlines by complaint category.Complaint Category Number Complaint Category Number Advertising 68 Flight problems 2031
2.13 [EX02-013] A study by Bruskin-Goldring for Whirlpool Corp. lists the major chores mothers say they would like to have the family help with.The most popular response was cleaning (53%), followed by laundry (18%), cooking (9%), dishes(8%), and other (12%).Source:
2.10 Cleaning countertops, disinfecting surfaces, and personal hygiene are among consumers’ favorite uses for wipe products, according to The Soap and Detergent Association’s (SDA) latest National Cleaning Survey. International Communications Research (ICR) completed the independent consumer
2.9 [EX02-009] The number of people, by age group, living in the 50 U.S. states and the District of Columbia in September 2004 was reported as follows.Number Number Age Group (millions) Age Group (millions)0–17 73.45 35–49 66.62 18–24 28.86 50 84.12 25–34 39.89 Source: Sales & Marketing
2.8 [EX02-008] A sample of student-owned vehicles produced by General Motors was identified and the make of each noted. The resulting sample follows (Ch Chevrolet, P Pontiac, B Buick, O Oldsmobile, Ca Cadillac, G GMC):Ch Ch Ca P P Ca P Ch O B P Ch Ch B P Ch Ch P Ch B B P B G Ch Ch Ch B
2.7 The number of points scored by the winning teams on November 2, 2004, the opening night of the 2004–2005 NBA season, are listed here.Team Detroit Dallas LA Lakers Score 87 107 89 Source: http://www.nba.com/schedules/2004_2005_game_schedule/November.html#schedsa. Draw a bar graph of these
2.6 [EX02-006] The American Community Survey is limited to the household population and excludes the population living in institutions, college dormitories, and other group quarters. Montana’s 2003 household make-up is listed here.Household Population Householder 374,879 Spouse 197,379 Child
Most people mentioned the importance of “comfort”in their explanations. The vast majority of respondents were very happy with their company’s dress code or policy.a. Construct a circle graph depicting this information.Label completely.b. Construct a bar graph depicting this same
American Payroll Association got a big response to this question about company dress code:“The current dress code at my company is . . .”Final results:a. A little too relaxed—27%b. A little too formal—15%c. Just right—58%
How Americans prefer to eat an apple was reported in USA Today, November 11, 2004: Bite into it—47%, Cut it into slices—39%, Peel—11%, Don’t Know—3%.a. Construct a circle graph showing how Americans prefer to eat an apple.b. Construct a bar graph showing how Americans prefer to eat an
As a statistical graph the circle graph has limitations.Examine the circle graph in Figure 2.1 and the bar graph in Figure 2.2.a. What information do they both demonstrate?b. What information is shown in the circle graph that cannot be shown in the bar graph?c. “Generally speaking, the bar graph
a. How many different Internet activities did you engage in last week?b. How do you think you compare to the 40 Internet users in the sample in Exercise 2.1?c. How do you think you compare to all Internet users?
Students in an online statistics course were asked how many different Internet activities they engaged in during a typical week. The following data show the number of activities:6 7 3 6 9 10 8 9 9 6 4 9 4 9 4 2 3 5 13 12 4 6 4 9 5 6 9 11 5 6 5 3 7 9 6 5 12 2 6 9a. If you were asked to present these
1.16 What conditions are required for a sample to be a random sample? Explain and include an example of a sample that is random and one that is not random.
1.15 The data, the statistic, and the parameter are all values used to describe a statistical situation.How does one distinguish among these three terms? Give an example.
1.14 The variable and the data for a specific situation are closely related. Explain this relationship and give an example.
1.13 The population and the sample are both sets of objects. Describe the relationship between them and give an example.
1.11 Classify each of the following variables as nominal, ordinal, discrete, or continuous:a. Method of payment for purchases (cash, credit card, check)b. Customer satisfaction (very satisfied, satisfied, not satisfied)c. Amount of sales tax on purchased. Number of items purchasede. Customer’s
1.89 Select one of the “Americans, Here’s Looking at You” graphics (p. 1); then, using the students at your school or college as the population of concern, collect sample data from 30 students and produce your own version of the graphic. Write a paragraph describing how your results compare
1.88 With respect to the four graphics in Section 1.1 on pages 1 and 2, complete the following:a. What statistical population is of concern for all of these graphics?b. Identify one specific graphic. What variables were used to collect the information needed to determine the statistics reported?c.
1.87 In Exercise 1.5, you were asked to write a sentence for each of the three statistical activities given in the definition of statisitics. Now that you have completed the chapter, review your work.Again, using your own words, change and/or enhance your work to complete a paragraph on the
1.86a. Find an article in a newspaper or magazine that exemplifies the use of statistics in a way that might be considered “entertainment”or “recreational.” Describe why you think this article fits one of these categories.b. Find an article in a newspaper or magazine that exemplifies the
1.85 Find an article or an advertisement in a newspaper or magazine that exemplifies the use of statistics.a. Identify and describe one statistic reported in the article.b. Identify and describe the variable related to the statistic in part a.c. Identify and describe the sample related to the

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