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business statistics

Questions and Answers of Business Statistics

The data show the amount of sales tax paid in Denver County, Colorado. Find the first and third quartiles for the data. Month Sales Tax Month Sales Tax Jan 363,061 July August September 506,809
The data for a recent year show the taxes (in millions of dollars) received from a random sample of 10 states. Find the first and third quartiles and the IQR. 13 15 32 36 11 4 6 25 11 71
Find the percentile rank for each test score in the data set.5, 12, 15, 16, 20, 21What test score corresponds to the 33rd percentile?
The data show the population (in thousands) for a recent year of a sample of cities in South Carolina.Find the data value that corresponds to each percentile.a. 40th percentileb. 75th percentilec.
The average miles driven annually per licensed driver in the United States is approximately 14,090 miles. If we assume a fairly mound-shaped distribution with a standard deviation of approximately
The mean age at which females marry is 24.6. The standard deviation is 3.2 years. Find the corresponding z score for each.a. 27 b. 22c. 31d. 18e. 26
Which is a better relative position, a score of 83 on a geography test that has a mean of 72 and a standard deviation of 6, or a score of 61 on an accounting test that has a mean of 55 and a standard
The average age of Senators in the 114th congress was 61.7 years. If the standard deviation was 10.6, find the z scores of a senator who is 48 years old and one who is 66 years old.
To which percentile, quartile, and decile does the median correspond?
How are deciles related to percentiles?
What is a decile?
What is the relationship between quartiles and percentiles?
Define quartile.
What is the difference between a percentage and a percentile?
Define percentile rank.
The mean and standard deviation of the bonuses that the employees of a company received 10 years ago were, respectively, $2,000 and $325. Today the amount of the bonuses is 5 times what it was 10
The mean price of the fish in a pet shop is $2.17, and the standard deviation of the price is $0.55. If the owner decides to triple the prices, what will be the mean and standard deviation of the new
The mean and standard deviation of the number of hours the employees work in the music store per week are, respectively, 18.6 and 3.2 hours. If the owner increases the number of hours each employee
The average price of an instrument at a small music store is $325. The standard deviation of the price is $52. If the owner decides to raise the price of all the instruments by $20, what will be the
The national average for mathematics SATs in 2014 was 538. Suppose that the distribution of scores was approximately bell-shaped and that the standard deviation was approximately 48. Within what
The average farm in the United States in 2014 contained 504 acres. The standard deviation is 55.7 acres. Use Chebyshev’s theorem to find the minimum percentage of data values that will fall in the
The average sale price of one-family houses in the United States for January 2016 was $258,100. Find the range of values in which at least 75% of the sale prices will lie if the standard deviation is
Team batting averages for major league baseball in 2015 are represented below. Find the variance and standard deviation for each league. Compare the results. NL AL 0.242-0.246 3 0.244-0.249 3
The following frequency distribution shows the average number of pupils per teacher in the 50 states of the United States. Find the variance and standard deviation for the data.Class limits
The frequency distributions shown indicate the percentages of public school students in fourth-grade reading and mathematics who performed at or above the required proficiency levels for the 50
One of the air pollutants that is measured in selected cities is sulfur dioxide. This pollutant occurs when fossil fuels are burned. This pollutant is measured in micrograms per cubic meter
The source of federal government revenue for a specific year is50% from individual income taxes32% from social insurance payroll taxes10% from corporate income taxes3% from excise taxes5% otherIf a
A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?
A medical doctor stated that with a certain treatment, a patient has a 50% chance of recovering without surgery. That is, “Either he will get well or he won’t get well.” Comment on this
Toss three coins 128 times and record the number of heads (0, 1, 2, or 3); then record your results with the theoretical probabilities. Compute the empirical probabilities of each.
Toss two coins 100 times and record the number of heads (0, 1, 2). Compute the probabilities of each outcome, and compare these probabilities with the theoretical results.
Define mutually exclusive events, and give an example of two events that are mutually exclusive and two events that are not mutually exclusive.
Explain briefly why addition rule 2 can be used when two events are mutually exclusive.
Determine whether these events are mutually exclusive:a. Draw a card: get a spade and get a 6b. Roll a die: get a prime number (2, 3, 5)c. Roll two dice: get a sum of 7 or get a sum that is an even
A researcher conducted a survey asking people if they believed more than one person was involved in the assassination of John F. Kennedy. The results were as follows: 73% said yes, 19% said no, and
The frequency distribution shows a sample of the waterfall heights, in feet, of 28 waterfalls. Find the variance and standard deviation for the data.Class boundaries
Use the data from Exercises 7, 15, and 17 (unemployment, prisoners, precipitation days) and compare the standard deviation with that obtained by the range rule of thumb (R/4.) Comment on the
The number of annual precipitation days for one-half of the 50 largest U.S. cities is listed below. Find the range, variance, and standard deviation of the data. 135 128 136 116 123 88 98 79 44 97
The data show the number of public laws passed by the U.S. Congress for a sample of recent years. Find the range, variance, and standard deviation for the data.283 394 383 580 498 460 377 482
The numbers of various multiple births in the United States for the past 10 years are listed. Find the range, variance, and standard deviation of the data sets. Which set of data is the most
The following data show the price of silver and the price of tin over a recent 9-year period. Find the range, variance, and standard deviation. Which data set is more variable?Silver
The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Find the range, variance, and standard deviation for the data. 110.8 30.9 58.4 20.1 33.5 74.8
Why is the unbiased estimator of variance used?
What are the symbols used to represent the sample variance and standard deviation?
What are the symbols used to represent the population variance and standard deviation?
Why might the range not be the best estimate of variability?
What is the relationship between the variance and the standard deviation?
Find the mean of 10, 20, 30, 40, and 50.a. Add 10 to each value and find the mean.b. Subtract 10 from each value and find the mean.c. Multiply each value by 10 and find the mean.d. Divide each value
If the mean of five values is 64, find the sum of the values.
A local fast-food company claims that the average salary of its employees is $13.23 per hour. An employee states that most employees make minimum wage. If both are being truthful, how could both be
What types of symbols are used to represent sample statistics? Give an example. What types of symbols are used to represent population parameters? Give an example.
The data show the number of children U.S. Presidents through Obama, had. Construct an ungrouped frequency distribution and find the mean and modal class. 0 5603 4 1 4 10 8 4 4 2 61 2 2
The data show the number of points the winning team scored in the Rose Bowl. Find the mean and modal class for the data.Class
The data show the maximum wind speeds for a sample of 40 states. Find the mean and modal class for the data.Class boundaries
The last words given and spelled correctly at the National Spelling Bee for the past 21 years are spelled out below. Count the number of letters in each word, and find the mean, median, mode, and
Of the 25 brightest stars, the distances from earth (in light-years) for those with distances less than 100 light-years are found below. Find the mean, median, mode, and midrange for the data. 8.6
The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data. 143.8 17.7 8.5 120.4 33.0 27.1
The data show the number of paid days off workers get in a sample of various countries of the world. Find the mean, median, midrange, and mode for the data. 30 으으
Forbes magazine prints an annual Top-Earning Nonliving Celebrities list (based on royalties and estate earnings). Find the mean, median, mode, and midrange for the data. Comment on the skewness.
The following represent XBOX One Top Selling Games and units sold:Titanfall............................................................2,000,000Call of Duty:
The lengths of school years in a sample of various countries in the world are shown. Find the mean, median, midrange, and mode of the data. 251 243 226 216 196 180
The number of short-term parking spaces at 15 airports is shown. Find the mean, median, mode, and midrange for the data. 750 3400 1962 260 690 9822 1131 203 750 700 1479 5905 2516 8662 900 9239 2516
The data show the heights in feet of 14 roller coasters. Find the mean, median, midrange, and mode for the data. 102 105 125 50 91 95 102 120 160 95 118 160 50 84
The graph shows the payoffs obtained from the White Oak Casino compared to the nearest competitor€™s casino. Why is this graph misleading? Payoff Amount 100 99 98% 98 + 97 96 95% 95 94 93
The graph below shows the time it takes Quick Pain Relief to relieve a person€™s pain. The graph below that shows the time a competitor€™s product takes to relieve pain. Why might
A local football team has 30 players; the weight of each player is shown. Construct a stem and leaf plot for the data. Use stems 20__, 21__, 22__, etc. 213 202 232 206 219 246 248 239 215 221 223 220
The data show the number of songs on each of 40 CDs from the author€™s collection. Construct a dotplot for the data and comment on the graph. 18 uospS5기59D 으=e202으nuu
Peyton Manning played for the Indianapolis Colts for 14 years. (He did not play in 2011.) The data show the number of touchdowns he scored for the years 1998€“2010. Construct a dotplot for
Construct and analyze a pie graph for the people who did or did not buy insurance for their smart phones at the time of purchase.Response
The data show the high school dropout rate for students for the years 2003 to 2013. Construct a time series graph and analyze thegraph.Year
The data show the number of new Broadway productions for the seasons. Construct and analyze a time series graph for the data.Season
The data (in billions of dollars) show the estimated amount of money spent on pet care in the United States. Construct a Pareto chart for the data.Type of care
The data show the percentage of the types of crimes commonly committed in the United States. Construct a Pareto chart for the
The data show the number of calories per ounce in selected types of nuts. Construct vertical and horizontal bar graphs for the data.Types
The data show the yearly consumption (in gallons) of popular non-alcoholic beverages. Draw a vertical and horizontal bar graph to represent the data.Soft
Construct a histogram, frequency polygon, and ogive, using relative frequencies for the data in Exercise 5.Data from 5 79 70 71 63 83 90 72 66 80 73 68 70 51 66 74 67 54 81 62 66 78 68 57 96 78 55 76
Construct a histogram, frequency polygon, and ogive, using relative frequencies for the data in Exercise 5.Data from 5 90 420 300 194 640 68 268 276 620 76 165 833 370 53 132 600 594 70 308 574 215
Construct a histogram, frequency polygon, and ogive for the data in Exercise 6.Data from 6 79 70 71 63 83 90 72 66 80 73 68 70 51 66 74 67 54 81 62 66 78 68 57 96 78 55 76 60 85 71 66 57 77 88 93 70
Construct a histogram, frequency polygon, and ogive for the data in Exercise 5.Data from 5 90 420 300 194 640 68 268 276 620 76 165 833 370 53 132 600 594 70 308 574 215 109 317 850 212 300 256 187
Find the relative frequency for the frequency distribution for the data in Exercise 6.Data from 6 79 70 71 63 83 90 72 66 80 73 68 70 51 66 74 67 54 81 62 66 78 68 57 96 78 55 76 60 85 71 66 57 77 88
Find the relative frequency for the frequency distribution for the data in Exercise 5.Data from 5 90 420 300 194 640 68 268 276 620 76 165 833 370 53 132 600 594 70 308 574 215 109 317 850 212 300
The data show the heights (in feet) of notable waterfalls in North America. Organize the data into a grouped frequency distribution using 6 classes. This data will be used for Exercises 7, 9, and 11.
The data show the average wind speed for 36 days in a large city. Construct an ungrouped frequency distribution for the data. 10 15 10 8. 14 9. 8. 14 12 12 8. 8. 13 11 9. 10 11 8. 9. 13 13 10 8. 13
The United States won the Men€™s World Hockey Championship in 1933 and 1960. Below are listed the world champions for the last 30 years. Use this information to construct a frequency
The average amount requested for business trip reimbursement is itemized below. Illustrate the data with an appropriate graph. Do you have any questions regarding the
Draw and compare two time series graphs for the number of homicides in the Chicago area. As of June 29 207 204 204 Homicides 451 448 Year 2005 2007 2009 2011 | 2013 459 435 414 187 180
The following information was found in a recent almanac. Use a pie graph to illustrate the information. Is there anything wrong with the data?U.S. Population by Age in 2011Under 20
The graph shows the increase in the price of a quart of milk. Why might the increase appear to be larger than it really is? Cost of Milk $3.50 $3.50 $3.00 $2.50 $2.00 $1.50 + $1.08 MILK $1.00 $0.50
The U.S. Department of Commerce reports the following number of U.S. patents received by foreign countries and the United States in the year 2010. Illustrate the data with a bar graph and a pie
The U.S. health dollar is spent as indicated below. Construct two different types of graphs to represent the data.Government administration........................................9.7%Nursing home
State which type of graph (Pareto chart, time series graph, or pie graph) would most appropriately represent the data.a. Situations that distract automobile driversb. Number of persons in an
The data show the lengths (in hundreds of miles) of major rivers in South America and Europe. Construct a back-to-back stem and leaf plot, and compare the distributions. South America Europe 5 12 39
There are 43 Major League baseball players (as of 2015) that have hit 50 or more home runs in one season. Construct a stem and leaf plot and analyze the data. 532幻科卫列
Fifty off-campus students were asked how long it takes them to get to school. The times (in minutes) are shown. Construct a dotplot and analyze the data. 幻如引四引3站口2 2=8a85は8%3
The data show the number of years of experience the players on the Pittsburgh Steelers football team have at the beginning of the season. Draw and analyze a dot plot for the data. 3 12 6. 12 5 1 4 5
In Pennsylvania the numbers of teacher strikes for the last 14 years are shown. Construct a dotplot for the data. Comment on the graph. 13 14 14 8. 15 18 8 3 10
The data show the ages of the players of the Super Bowl L Denver Bronco Champs in 2016. Construct a dotplot for the data, and comment on the distribution. 26 24 23 25 25 30 33 23 32 21 26 24 24 27 26
The following data show where children obtain guns for committing crimes. Draw and analyze a pie graph for the data. Source Friend Family Street Gun or Pawn Shop Other Number 24 15
Draw and analyze a pie graph for the number of credit cards a person has. Number of cards Number 2 or 3 4 or more 52 68 40 40
The data show the average amount of money spent by consumers on Valentine€™s Day. Draw a time series graph for the data and comment on the trend. Year 2007 2008 2009 2010 2011 2012 2012

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