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mathematics
statistics
Questions and Answers of
Statistics
The third row of a stem-and-leaf chart appears as follows: 21 ƒ 0 1 3 5 7 9. Assume whole number values.a. What is the “possible range” of the values in this row?b. How many data values are in
Silver Springs Moving and Storage Inc. is studying the relationship between the number of rooms in a move and the number of labor hours required for the move. As part of the analysis, the CFO of
The Director of Planning for Devine Dining Inc. wishes to study the relationship between the gender of a guest and whether the guest orders dessert. To investigate the relationship, the manager
Ski Resorts of Vermont Inc. is considering a merger with Gulf Shores Beach Resorts Inc. of Alabama. The board of directors surveyed 50 stockholders concerning their position on the merger. The
A sample of students attending Southeast Florida University is asked the number of social activities in which they participated last week. The chart below was prepared from the sample data.a. What is
Doctors Care is a walk-in clinic, with locations in Georgetown, Moncks Corner, and Aynor, at which patients may receive treatment for minor injuries, colds, and flu, as well as physical
The following stem-and-leaf chart from the Minitab software shows the number of units produced per day in a factory.a. How many days were studied?b. How many observations are in the first class?c.
The following stem-and-leaf chart reports the number of movies rented per day at Video Connection on the corner of Fourth and Main Streets.a. How many days were studied?b. How many observations are
A survey of the number of phone calls made by a sample of 16 Verizon subscribers last week revealed the following information. Develop a stem-and-leaf chart. How many calls did a typical subscriber
Aloha Banking Co. is studying ATM use in suburban Honolulu. A sample of 30 ATMs showed they were used the following number of times yesterday. Develop a stem-and-leaf chart. Summarize the number of
Determine the median and the first and third quartiles in the followingdata.
Determine the median and the first and third quartiles in the followingdata.
The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from
Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 40 who visit college professors all over the United States. Each Saturday morning he requires his sales
The box plot below shows the amount spent for books and supplies per year by students at four year public colleges.a. Estimate the median amount spent.b. Estimate the first and third quartiles for
The box plot shows the undergraduate in-state charge per credit hour at four-year public colleges.a. Estimate the median.b. Estimate the first and third quartiles.c. Determine the interquartile
The following values are the starting salaries, in $000, for a sample of five accounting graduates who accepted positions in public accounting last year.a. Determine the mean, median, and the
Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.a. Determine the mean, median, and the standard deviation.b. Determine the coefficient
Listed below are the commissions earned ($000) last year by the 15 sales representatives at Furniture Patch Inc.a. Determine the mean, median, and the standard deviation.b. Determine the coefficient
Listed below are the salaries for the 2012 New York Yankees Major League Baseball team.a. Determine the mean, median, and the standard deviation.b. Determine the coefficient of skewness using
The screen size for 23 LCD televisions is given below. Make a stem-and-leaf display of thisvariable.
The top 25 companies (by market capitalization) operating in the Washington, DC, area along with the year they were founded and the number of employees are given below. Make a stem and-leaf display
In recent years, due to low interest rates, many homeowners refinanced their home mort-gages. Linda Lahey is a mortgage officer at Down River Federal Savings and Loan. Below is the amount refinanced
A study is made by the recording industry in the United States of the number of music CDs owned by 25 senior citizens and 30 young adults. The information is reported below.a. Find the median and the
The corporate headquarters of Bank.com, a new Internet company that performs all banking transactions via the Internet, is located in downtown Philadelphia. The director of human resources is making
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanes- thesia care. The
McGivern Jewelers is located in the Levis Square Mall just south of Toledo, Ohio. Recently it ran an advertisement in the local newspaper reporting the shape, size, price, and cut grade for 33 of its
Here is a table showing the number of employed and unemployed workers 20 years or older by gender in the United States.a. How many workers were studied?b. What percent of the workers were
Refer to the Real Estate data, which reports information on homes sold in the Goodyear, Arizona, area during the last year. Prepare a report on the selling prices of the homes. Be sure to answer the
Refer to the Baseball 2012 data that report information on the 30 Major League Baseball teams for the 2012 season.a. In the data set, the variable, built, is the year that a stadium was constructed.
Refer to the Buena School District bus data.a. Refer to the maintenance cost variable. Develop a box plot. What are the first and third quartiles? Are there any outliers?b. Determine the median
A sample of 50 funds deposited in First Federal Savings Banks MCA (miniature checking account) revealed the following amounts.Use a statistical software package such as Excel or Minitab
Listed below are the 44 U.S. presidents and their age as they began their terms in office.Use a statistical software package such as Excel or Minitab to help answer the following questions.a.
Listed below is the per capita income for the 50 states and the District of Columbia.Use a statistical software package such as Excel or Minitab to help answer the following questions.a. Determine
A sample of 12 homes sold last week in St. Paul, Minnesota, revealed the following information. Draw a scatter diagram. Can we conclude that, as the size of the home (reported below in thousands of
Refer to the following diagram.a. What is the graph called?b. What are the median, and first and third quartile values?c. Is the distribution positively skewed? Tell how you know.d. Are there any
1. Develop a graph or table that portrays the checking balances. What is the balance of a typical customer? Do many customers have more than $2,000 in their ac-counts? Does it appear that there is a
Wildcat Plumbing Supply has served the plumbing needs of Southwest Arizona for more than 40 years. The company was founded by Mr. Terrence St. Julian and is run today by his son Cory. The company has
At the January national sales meeting, the CEO of Kimble Products was questioned extensively regarding the company policy for paying commissions to its sales representatives. The company sells
Solve the following: a. 20! /17! b. 9P3 c. 7C2
Shaver Manufacturing Inc. offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability
A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05
A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the .01
A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality assurance department
A recent national survey found that high school students watched an average (mean) of 6.8 DVDs per month with a population standard deviation of 1.8. The distribution of DVDs watched per month
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $80 a day in tips.” Assume the population of daily tips is normally distributed
Given the following hypotheses:H0: µ ≤ 10H1: µ > 10A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using
Given the following hypotheses:H0: µ = 10H1: µ ≠10A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the
The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 40 sales calls per week on
The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a
The mean income per person in the United States is $40,000, and the distribution of in-comes follows a normal distribution. A random sample of 10 residents of Wilmington, Delaware, had a mean of
Most air travelers now use e-tickets. Electronic ticketing allows passengers to not worry about a paper ticket, and it costs the airline companies less to handle than paper ticketing. However, in
Given the following hypotheses:H0: µ ≥20H1: µ < 20A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Assume a normal population. Using the .01 significance
Given the following hypotheses:H0: µ = 100H1: µ ≠ 100A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population. Using the .05
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.4 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample
The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it loses its effectiveness. Records indicate that the mean shelf life of a 5-gallon jug of
A Washington, D.C., “think tank†announces the typical teenager sent 50 text messages per day in 2013. To update that estimate, you phone a sample of 12 teenagers and ask them how many
Hugger Polls contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and Hugger wants to evaluate its effectiveness. The number
According to the local union president, the mean gross income of plumbers in the Salt Lake City area follows the normal probability distribution with a mean of $45,000 and a standard deviation of
Rutter Nursery Company packages its pine bark mulch in 50-pound bags. From a long history, the production department reports that the distribution of the bag weights follows the normal distribution
A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks with a standard deviation of 2.8 pounds. A random
Dole Pineapple Inc. is concerned that the 16-ounce can of sliced pineapple is being over-filled. Assume the standard deviation of the process is .03 ounce. The quality-control department took a
According to a recent survey, Americans get a mean of 7 hours of sleep per night. A random sample of 50 students at West Virginia University revealed the mean length of time slept last night was 6
A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its records indicate that the mean selling time of farm property is 90 days.
According to the Census Bureau, 3.13 people reside in the typical American household. A sample of 25 households in Arizona retirement communities showed the mean number of residents per household was
A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test.
According to a study by the Federal Reserve Board, the rate charged on credit card debt is more than 14%. Listed below is the interest rate charged on a sample of 10 credit cards.Is it reasonable to
A recent article in The Wall Street Journal reported that the home equity loan rate is now less than 6%. A sample of eight small banks in the Midwest revealed the following home equity loan rates (in
A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in
The postanesthesia care area (recovery room) at St. Luke’s Hospital in Maumee, Ohio, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be
www.golfsmith.com receives an average of 6.5 returns per day from online shoppers. Fora sample of 12 days, it received the following numbers of returns.At the .01 significance level, can we conclude
During recent seasons, Major League Baseball has been criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (1) or losses (2) in seconds per
Listed below is the rate of return for one year (reported in percent) for a sample of 12 mutual funds that are classified as taxable money market funds.Using the .05 significance level, is it
Many grocery stores and large retailers such as Walmart and Kmart have installed self-checkout systems so shoppers can scan their own items and cash out themselves. How do customers like this service
For a recent year, the mean fare to fly from Charlotte, North Carolina, to Chicago, Illinois, on a discount ticket was $267. A random sample of 13 round-trip discount fares on this route last month
The publisher of Celebrity Living claims that the mean sales for personality magazines that feature people such as Angelina Jolie or Paris Hilton are 1.5 million copies per week. A sample of 10
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 25 Mexican family units
The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently
The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed
A cola-dispensing machine is set to dispense 9.00 ounces of cola per cup, with a standard deviation of 1.00 ounce. The manufacturer of the machine would like to set the control limit in such a way
The owners of the Westfield Mall wished to study customer shopping habits. From earlier studies, the owners were under the impression that a typical shopper spends 0.75 hour at the mall, with a
The following null and alternate hypotheses are given.H0: µ ≤ 50H1: µ >50Suppose the population standard deviation is 10. The probability of a Type I error is set at .01 and the probability of a
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss, it randomly samples 200
A national grocer’s magazine reports the typical shopper spends 8 minutes in line waiting to check out. A sample of 24 shoppers at the local Farmer Jack’s showed a mean of 7.5 minutes with a
Refer to the Real Estate data, which report information on the homes sold in Goodyear, Arizona, last year.a. A recent article in the Arizona Republic indicated that the mean selling price of the
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseball teams for the 2012 season.a. Conduct a test of hypothesis to determine whether the mean salary of the teams
Refer to the Buena School District bus data.a. Select the variable for the number of miles traveled last month. Conduct a test of hypothesis to determine whether the mean number of miles traveled is
A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a
A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population
Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 babies using the Gibbs products revealed a mean weight gain of 7.6
As part of a study of corporate employees, the director of human resources for PNC Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the
Women’s height is a suspected factor for difficult deliveries, that is, shorter women are more likely to have Caesarean sections. A medical researcher found in a sample of 45 women who had a normal
Mary Jo Fitzpatrick is the vice president for Nursing Services at St. Luke’s Memorial Hospital. Recently she noticed in the job postings for nurses that those that are unionized seem to offer
The null and alternate hypotheses are:H0: µ1 = µ2H1: µ1 ≠ µ2(a) State the decision rule, (b) Compute the pooled estimate of the population variance, (c) Compute the test statistic, (d) State
The null and alternate hypotheses are:H0: µ1 = µ2H1: µ1 ≠ µ2A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A
Listed below are the 25 players on the opening-day roster of the 2013 New York Yankees Major League Baseball team, their salaries, and fielding positions.Sort the players into two groups, pitchers
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