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business statistics using excel
Introductory Statistics 7th Edition Prem S Mann - Solutions
TA3.7 Refer to Data Set VII on the stocks included in the Standard & Poor’s 100 Index. Calculate the mean, median, standard deviation, and interquartile range for the data on the highest prices for the stocks in each of the market sectors. Compare the values of the various statistics for
TA3.6 Refer to the data on the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days given in Exercise 3.104. Prepare a box-and-whisker plot for those data.
TA3.5 Refer to Data Set I on the prices of various products in different cities across the country. Make a box-and-whisker plot for the data on the monthly telephone charges.
TA3.4 Refer to Data of TA3.3. Make a box-and-whisker plot for those data.
TA3.3 Refer to Data Set I on the prices of various products in different cities across the country. Select a subsample of the prices of regular unleaded gas for 40 cities. Find the mean, median, and standard deviation for the data of this subsample.
TA3.2 Refer to the data on phone charges given in Data Set I. From that data set select the 4th value and then select every 10th value after that (i.e., select the 4th, 14th, 24th, 34th, ... values). Such a sample taken from a population is called a systematic random sample. Find the mean, median,
TA3.1 Refer to the subsample taken in the Technology Assignment TA2.3 of Chapter 2 from the sample data on the time taken to run the Manchester Road Race. Find the mean, median, range, and standard deviation for those data.
*27. Consider the following two data sets.Data Set I: 8 16 20 35 Data Set II: 5 13 17 32 Note that each value of the second data set is obtained by subtracting 3 from the corresponding value of the first data set.a. Calculate the mean for each of these two data sets. Comment on the relationship
*26. The following are the prices (in thousands of dollars) of 10 houses sold recently in a city:479 366 238 207 287 349 293 2534 463 538 Calculate the 10% trimmed mean for this data set. Do you think the 10% trimmed mean is a better summary measure than the (simple) mean (i.e., the mean of all 10
*25. The mean GPA of five students is 3.21. The GPAs of four of these five students are, respectively, 3.85, 2.67, 3.45, and 2.91. Find the GPA of the fifth student.
*24. The mean weekly wages of a sample of 15 employees of a company are $1035. The mean weekly wages of a sample of 20 employees of another company are $1090. Find the combined mean for these 35 employees.
23. Make a box-and-whisker plot for the data on the number of times passengers set off the airport metal detector given in Problem 22. Comment on the skewness of this data set.
22. The following data give the number of times the metal detector was set off by passengers at a small airport during 15 consecutive half-hour periods on February 1, 2009.7 2 1 21 30 8 1 0 1 53 5 1 42 01 1 14a. Calculate the three quartiles and the interquartile range. Where does the value of 4
21. The ages of cars owned by all people living in a city have a bell-shaped distribution with a mean of 7.3 years and a standard deviation of 2.2 years.a. Using the empirical rule, find the percentage of cars in this city that are i. 5.1 to 9.5 years old ii. .7 to 13.9 years oldb. Using the
20. The cars owned by all people living in a city are, on average, 7.3 years old with a standard deviation of 2.2 years.a. Using Chebyshev’s theorem, find at least what percentage of the cars in this city are i. 1.8 to 12.8 years old ii. .7 to 13.9 years oldb. Using Chebyshev’s theorem, find
19. The following table gives the frequency distribution of the numbers of computers sold during the past 25 weeks at a computer store.Computers Sold Frequency 4 to 9 2 10 to 15 4 16 to 21 10 22 to 27 6 28 to 33 3a. What does the frequency column in the table represent?b. Calculate the mean,
18. When is the value of the standard deviation for a data set zero? Give one example of such a data set.Calculate the standard deviation for that data set to show that it is zero.
17. The range, as a measure of spread, has the disadvantage of being influenced by extreme values.Illustrate this point with an example.
16. The mean, as a measure of central tendency, has the disadvantage of being influenced by extreme values. Illustrate this point with an example.
15. The following data give the numbers of times 10 persons used their credit cards during the past 3 months.9 6 28 14 2 18 7 3 16 6 Calculate the mean, median, mode, range, variance, and standard deviation.
14. The 75th percentile is a value in a ranked data set such that abouta. 75% of the values are smaller and about 25% are larger than this valueb. 25% of the values are smaller and about 75% are larger than this value
13. The third quartile is a value in a ranked data set such that abouta. 75% of the values are smaller and about 25% are larger than this valueb. 50% of the values are smaller and about 50% are larger than this valuec. 25% of the values are smaller and about 75% are larger than this value
12. The first quartile is a value in a ranked data set such that abouta. 75% of the values are smaller and about 25% are larger than this valueb. 50% of the values are smaller and about 50% are larger than this valuec. 25% of the values are smaller and about 75% are larger than this value
11. The empirical rule can be applied toa. any distributionb. bell-shaped distributions onlyc. skewed distributions only
10. Chebyshev’s theorem can be applied toa. any distributionb. bell-shaped distributions onlyc. skewed distributions only
9. A summary measure calculated for the sample data is called aa. population parameterb. sample statisticc. box-and-whisker plot
8. A summary measure calculated for the population data is calleda. a population parameterb. a sample statisticc. an outlier
7. The values of the variance and standard deviation area. never negativeb. always positivec. never zero
6. Which of the following is the mean of the squared deviations of x values from the mean?a. standard deviationb. population variancec. sample variance
5. Which of the following is obtained by taking the difference between the largest and the smallest values of a data set?a. varianceb. rangec. mean
4. Which of the following can have more than one value?a. meanb. medianc. mode
3. Which of the following summary measures can be calculated for qualitative data?a. meanb. medianc. mode
2. Which of the following summary measures is/are influenced by extreme values?a. meanb. medianc. moded. range
1. The value of the middle term in a ranked data set is called thea. meanb. medianc. mode
3.146 Refer to Problem 5 of the Self-Review Test in Chapter 1, which featured the 10 biggest Nasdaq losers of October 2008. Let x represent the October 2008 return. Calculate . What, if anything, does this number represent? Explain your answer.
3.145 Refer to the women’s golf scores in Exercise 3.137. It turns out that 117 was mistakenly entered.Although this person still had the highest score among the 15 women, her score was not a mild or extreme outlier according to the box-and-whisker plot, nor was she tied for the highest score.
3.144 Although the standard workweek is 40 hours a week, many people work a lot more than 40 hours a week. The following data give the numbers of hours worked last week by 50 people.40.5 41.3 41.4 41.5 42.0 42.2 42.4 42.4 42.6 43.3 43.7 43.9 45.0 45.0 45.2 45.8 45.9 46.2 47.2 47.5 47.8 48.2 48.3
3.143 Refer to the data in Problem 3.140. Two individuals, one from Canada and one from England, are interested in your analysis of these data but they need your results in different units. The Canadian individual wants the results in grams (1 pound 435.59 grams), while the English individual
3.142 The following stem-and-leaf diagram gives the distances (in thousands of miles) driven during the past year by a sample of drivers in a city.0 3 6 9 1 2 8 5 1 0 5 2 5 1 6 3 8 4 1 56 2a. Compute the sample mean, median, and mode for the data on distances driven.b. Compute the range, variance,
3.141 The distribution of the lengths of fish in a certain lake is not known, but it is definitely not bell shaped. It is estimated that the mean length is 6 inches with a standard deviation of 2 inches.a. At least what proportion of fish in the lake are between 3 inches and 9 inches long?b. What
3.140 The following data give the weights (in pounds) of a random sample of 44 college students. (Here F and M indicate female and male, respectively.)123 F 195 M 138 M 115 F 179 M 119 F 148 F 147 F 180 M 146 F 179 M 189 M 175 M 108 F 193 M 114 F 179 M 147 M 108 F 128 F 164 F 174 M 128 F 159 M 193
3.139 Suppose that there are 150 freshmen engineering majors at a college and each of them will take the same five courses next semester. Four of these courses will be taught in small sections of 25 students each, whereas the fifth course will be taught in one section containing all 150 freshmen.
3.138 Answer the following questions.a. The total weight of all pieces of luggage loaded onto an airplane is 12,372 pounds, which works out to be an average of 51.55 pounds per piece. How many pieces of luggage are on the plane?b. A group of seven friends, having just gotten back a chemistry exam,
3.137 A local golf club has men’s and women’s summer leagues. The following data give the scores for a round of 18 holes of golf for 17 men and 15 women randomly selected from their respective leagues.124 Chapter 3 Numerical Descriptive Measures Men 87 68 92 79 83 67 71 92 112 75 77 102 79 78
3.136 Actuaries at an insurance company must determine a premium for a new type of insurance. A random sample of 40 potential purchasers of this type of insurance were found to have suffered the following values of losses (in dollars) during the past year. These losses would have been covered by
3.135 How much does the typical American family spend to go away on vacation each year? Twenty-five randomly selected households reported the following vacation expenditures (rounded to the nearest hundred dollars) during the past year:2500 500 800 0 100 0 200 2200 0 200 0 1000 900 321,500 400 500
3.134 The test scores for a very large statistics class have a bell-shaped distribution with a mean of 70 points.a. If 16% of all students in the class scored above 85, what is the standard deviation of the scores?b. If 95% of the scores are between 60 and 80, what is the standard deviation?
3.133 The test scores for a large statistics class have an unknown distribution with a mean of 70 and a standard deviation of 10.a. Find k so that at least 50% of the scores are within k standard deviations of the mean.b. Find k so that at most 10% of the scores are more than k standard deviations
3.132 In a study of distances traveled to a college by commuting students, data from 100 commuters yielded a mean of 8.73 miles. After the mean was calculated, data came in late from three students, with respective distances of 11.5, 7.6, and 10.0 miles. Calculate the mean distance for all 103
3.131 The following table shows the total population and the number of deaths (in thousands) due to heart attack for two age groups (in years) in Countries A and B for 2009.Age 30 and Under Age 31 and Over A B A B Population 40,000 25,000 20,000 35,000 Deaths due to heart attack 1000 500 2000
3.130 A survey of young people’s shopping habits in a small city during the summer months of 2009 showed the following: Shoppers aged 12 to 14 years took an average of 8 shopping trips per month and spent an average of $14 per trip. Shoppers aged 15 to 17 years took an average of 11 trips per
3.129 In the Olympic Games, when events require a subjective judgment of an athlete’s performance, the highest and lowest of the judges’ scores may be dropped. Consider a gymnast whose performance is judged by seven judges and the highest and the lowest of the seven scores are dropped.a.
3.128 During the 2008 winter season, a homeowner received four deliveries of heating oil, as shown in the following table.Gallons Purchased Price per Gallon ($)209 2.22 182 2.34 157 2.41 149 2.43 The homeowner claimed that the mean price he paid for oil during the season was per gallon. Do you
3.127 A small country bought oil from three different sources in one week, as shown in the following table.Source Barrels Purchased Price per Barrel ($)Mexico 1000 51 Kuwait 200 64 Spot Market 100 70 Find the mean price per barrel for all 1300 barrels of oil purchased in that week.
3.126 On a 300-mile auto trip, Lisa averaged 52 mph for the first 100 miles, 65 mph for the second 100 miles, and 58 mph for the last 100 miles.a. How long did the 300-mile trip take?b. Could you find Lisa’s average speed for the 300-mile trip by calculating (52 65 58)3? If not, find the
3.125 The heights of five starting players on a basketball team have a mean of 76 inches, a median of 78 inches, and a range of 11 inches.a. If the tallest of these five players is replaced by a substitute who is 2 inches taller, find the new mean, median, and range.b. If the tallest player is
3.124 Jeffrey is serving on a six-person jury for a personal-injury lawsuit. All six jurors want to award damages to the plaintiff but cannot agree on the amount of the award. The jurors have decided that each of them will suggest an amount that he or she thinks should be awarded; then they will
3.123 Melissa’s grade in her math class is determined by three 100-point tests and a 200-point final exam.To determine the grade for a student in this class, the instructor will add the four scores together and divide this sum by 5 to obtain a percentage. This percentage must be at least 80 for a
3.122 The following data give the lengths of time (in weeks) taken to find a full-time job by 18 computer science majors who graduated in 2008 from a small college.30 43 32 21 65 8 4 18 16 38 9 44 33 23 24 81 42 55 Make a box-and-whisker plot. Comment on the skewness of this data set. Does this
3.121 A student washes her clothes at a laundromat once a week. The data below give the time (in minutes)she spent in the laundromat for each of 15 randomly selected weeks. Here, time spent in the laundromat includes the time spent waiting for a machine to become available.75 62 84 73 107 81 93 72
3.120 Refer to the data given in Exercise 3.111 on the total points scored by the top 10 NBA scorers during the 2007–08 NBA regular season.a. Calculate the values of the three quartiles and the interquartile range. Where does the value 1978 fall in relation to these quartiles?b. Find the
3.119 Refer to the data of Exercise 3.109 on the current annual incomes (in thousands of dollars) of the 10 members of the class of 2000 of the Metro Business College who were voted most likely to succeed.59 68 84 78 107 382 56 74 97 60a. Determine the values of the three quartiles and the
3.118 Assume that the annual earnings of all employees with CPA certification and 6 years of experience and working for large firms have a bell-shaped distribution with a mean of $134,000 and a standard deviation of $12,000.a. Using the empirical rule, find the percentage of all such employees
3.117 Refer to Exercise 3.115. Suppose the times taken to learn the basics of this word processor by all students have a bell-shaped distribution with a mean of 200 minutes and a standard deviation of 20 minutes.a. Using the empirical rule, find the percentage of students who will learn the basics
3.116 According to an estimate, Americans were expected to spend an average of 1669 hours watching television in 2004. Assume that the average time spent watching television by Americans in 2009 has a distribution that is skewed to the right with a mean of 1750 hours and a standard deviation of 450
3.115 The mean time taken to learn the basics of a word processor by all students is 200 minutes with a standard deviation of 20 minutes.a. Using Chebyshev’s theorem, find at least what percentage of students will learn the basics of this word processor in i. 160 to 240 minutes ii. 140 to 260
3.114 The following table gives the frequency distribution of the times (in minutes) that 50 commuter students at a large university spent looking for parking spaces on the first day of classes in the Fall semester of 2009.Time Number of Students 0 to less than 4 1 4 to less than 8 7 8 to less than
3.113 The following table gives the distribution of the amounts of rainfall (in inches) for July 2009 for 50 cities.Rainfall Number of Cities 0 to less than 2 6 2 to less than 4 10 4 to less than 6 20 6 to less than 8 7 8 to less than 10 4 10 to less than 12 3 Find the mean, variance, and standard
3.112 The following data give the numbers of driving citations received by 12 drivers.4 8 0 3 1 17 4 1 48 1 37 9a. Find the mean, median, and mode for these data.b. Calculate the range, variance, and standard deviation.c. Are the values of the summary measures in parts a and b population parameters
3.111 The following table gives the total points scored by each of the top 10 scorers during the 2007–08 regular season of National Basketball Association (Source: www.NBA.com.)Player Points Scored Kobe Bryant 2323 LeBron James 2250 Allen Iverson 2164 Amare Stoudemire 1989 Carmelo Anthony 1978
3.110 The Belmont Stakes is the final race in the annual Triple Crown of thoroughbred racing. The race is 1.5 miles in length, and the record for the fastest time (2:24.00 seconds) was set by Secretariat in 1973.The following data come from the 1999 to 2008 Belmont Stakes winners and show how much
3.109 Each year the faculty at Metro Business College chooses 10 members from the current graduating class that they feel are most likely to succeed. The data below give the current annual incomes (in thousands of dollars) of the 10 members of the class of 2000 who were voted most likely to
3.108 The following data give the numbers of new cars sold at a dealership during a 20-day period.8 5 1 23 9 1 06 1 28 8 4 1 61 01 17 7 3 5 9 1 1 Make a box-and-whisker plot. Comment on the skewness of these data.
3.107 Nixon Corporation manufactures computer monitors. The following are the numbers of computer monitors produced at the company for a sample of 30 days:24 32 27 23 33 33 29 25 23 28 21 26 31 20 27 33 27 23 28 29 31 35 34 22 26 28 23 35 31 27 Prepare a box-and-whisker plot. Comment on the
3.106 Refer to Exercise 3.22. The following data give the number of students suspended for bringing weapons to schools in the Tri-City School District for each of the past 12 weeks.1 59 1 21 17 6 9 1 01 43 6 5 Make a box-and-whisker plot. Comment on the skewness of these data.
3.105 Refer to Exercise 3.93. The following data represent the numbers of minor penalties accrued by each of the 30 National Hockey League franchises during the 2007–08 regular season.318 336 337 339 362 363 366 369 372 375 378 381 384 385 386 387 390 393 395 403 405 409 417 431 433 434 438 444
3.104 The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.45 52 48 41 56 46 44 42 48 53 51 53 51 48 46 43 52 50 54 47 44 47 50 49 52 Prepare a box-and-whisker plot. Comment on the skewness of these data.
3.103 The following data give the recent estimates of crude oil reserves (in billions of barrels) of Saudi Arabia, Iraq, Kuwait, Iran, United Arab Emirates, Venezuela, Russia, Libya, Nigeria, China, Mexico, and the United States. The reserves for these countries are listed in that order.261.7 112.0
3.102 Refer to Exercise 3.97. The following data represent the credit scores of 22 randomly selected loan applicants.494 728 468 533 747 639 430 690 604 422 356 805 749 600 797 702 628 625 617 647 772 572 Prepare a box-and-whisker plot. Are these data skewed in any direction?
3.101 The following data give the time (in minutes) that each of 20 students selected from a university waited in line at their bookstore to pay for their textbooks in the beginning of the Fall 2009 semester.15 8 23 21 5 17 31 22 34 6 5 10 14 17 16 25 30 3 31 19 Prepare a box-and-whisker plot.
3.100 Prepare a box-and-whisker plot for the following data:11 8 26 31 62 19 7 3 14 75 33 30 42 15 18 23 29 13 16 6 Does this data set contain any outliers? APPLICATIONS
3.99 Prepare a box-and-whisker plot for the following data:36 43 28 52 41 59 47 61 24 55 63 73 32 25 35 49 31 22 61 42 58 65 98 34 Does this data set contain any outliers?
3.98 Briefly explain what summary measures are used to construct a box-and-whisker plot.
3.97 According to Fair Isaac, “The Median FICO (Credit) Score in the U.S. is 723” (The Credit Scoring Site, 2009). Suppose the following data represent the credit scores of 22 randomly selected loan applicants.494 728 468 533 747 639 430 690 604 422 356 805 749 600 797 702 628 625 617 647 772
3.96 The following data give the numbers of new cars sold at a dealership during a 20-day period.8 5 12 3 9 10 6 12 8 8 4 16 10 11 7 7 3 5 9 11a. Calculate the values of the three quartiles and the interquartile range. Where does the value of 4 lie in relation to these quartiles?b. Find the
3.95 Nixon Corporation manufactures computer monitors. The following data give the numbers of computer monitors produced at the company for a sample of 30 days.24 32 27 23 33 33 29 25 23 36 26 26 31 20 27 33 27 23 28 29 31 35 34 22 37 28 23 35 31 43a. Calculate the values of the three quartiles and
3.94 Refer to Exercise 3.22. The following data give the number of students suspended for bringing weapons to schools in the Tri-City School District for each of the past 12 weeks.1 59 1 21 17 6 9 1 01 43 6 5a. Determine the values of the three quartiles and the interquartile range. Where does the
3.93 The following data give the numbers of minor penalties accrued by each of the 30 National Hockey League franchises during the 2007–08 regular season.318 336 337 339 362 363 366 369 372 375 378 381 384 385 386 387 390 393 395 403 405 409 417 431 433 434 438 444 461 480a. Calculate the values
3.92 The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.45 52 48 41 56 46 44 42 48 53 51 53 51 48 46 43 52 50 54 47 44 47 50 49 52a. Calculate the values of the three quartiles and the interquartile range.b.
3.91 The following data give the speeds of 13 cars (in mph) measured by radar, traveling on I-84.73 75 69 68 78 69 74 76 72 79 68 77 71a. Find the values of the three quartiles and the interquartile range.b. Calculate the (approximate) value of the 35th percentile.c. Compute the percentile rank of
3.90 The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club.5 10 8 7 25 12 5 14 11 10 21 9 8 11 18a. Compute the values of the three quartiles and the interquartile range.b. Calculate the (approximate) value of the 82nd
3.89 Explain the concept of the percentile rank for an observation of a data set.
3.88 Briefly describe how the percentiles are calculated for a data set.
3.87 Explain how the interquartile range is calculated. Give one example.
3.86 Briefly describe how the three quartiles are calculated for a data set. Illustrate by calculating the three quartiles for two examples, the first with an odd number of observations and the second with an even number of observations.
3.85 Suppose that on a certain section of I-95 with a posted speed limit of 65 mph, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph.a. Using the empirical rule, find the percentage of vehicles with the following speeds on this
3.84 The prices of all college textbooks follow a bell-shaped distribution with a mean of $105 and a standard deviation of $20.a. Using the empirical rule, find the percentage of all college textbooks with their prices between i. $85 and $125 ii. $65 and $145*b. Using the empirical rule, find the
3.83 According to an article in the Washington Post (Washington Post, January 5, 2009), the average employee share of health insurance premiums at large U.S. companies is expected to be $3423 in 2009. Suppose that the current annual payments by all such employees toward health insurance premiums
3.82 The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months.Assume that the lives of all auto batteries of this brand have a bell-shaped distribution. Using the empirical rule, find the percentage of auto batteries of this brand that have a life ofa.
3.81 The mean monthly mortgage paid by all home owners in a town is $2365 with a standard deviation of $340.a. Using Chebyshev’s theorem, find at least what percentage of all home owners in this town pay a monthly mortgage of i. $1685 to $3045 ii. $1345 to $3385*b. Using Chebyshev’s theorem,
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