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mathematics
statistics

Questions and Answers of Statistics

A radio station in Myrtle Beach announced that at least 90% of the hotels and motels would be full for the Memorial Day weekend. The station advised listeners to make reservations in advance if they
Consider the following hypothesis test:H0: μ ≥ 80H0: μ < 80A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the
Consider the following hypothesis test:H0: μ ≥ 50H0: μ < 50A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each
Consider the following hypothesis test:H0: μ ≥ 22H0: μ < 22A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the
In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3,173 (Sallie Mae, April 2009). This figure was an
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the
Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. During 2011, this group consumed a mean of 192 restaurant meals per person (NPD Group website, November
Annual expenditure for prescription drugs was $838 per person in the Northeast region of the country (Hospital Care Cost Institute website, November 7, 2012). A sample of 60 individuals in the
Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a
CCN and Act Media provided a television channel targeted to individuals waiting in super-market checkout lines. The channel showed news, short features, and advertisements. The length of the program
Consider the following hypothesis test:H0: μ ≤ 12H0: μ > 12A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32.a. Compute the value of the test statistic.b.
Consider the following hypothesis test:H0: μ ≤ 18H0: μ > 18A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.5.a. Compute the value of the test statistic.b. Use
Consider the following hypothesis test:H0: μ ≤ 45H0: μ > 45A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = .01.a. x =
Consider the following hypothesis test:H0: μ = 100H0: μ ≠ 100A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = .05.a. x =
A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief exective office (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found
The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study
The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, 2009). Suppose you are
According to the National Automobile Dealers Association, the mean price for used cars is $10,192. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the
Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006). Being from the Midwest, you believe milk consumption is higher there and wish to support your
Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of
Consider the following hypothesis test:H0: p = .20H0: p ≠ .20A sample of 400 provided a sample proportion p = .175.a. Compute the value of the test statistic.b. What is the p-value?c. At α = .05,
Consider the following hypothesis test:H0: p = .20H0: p ≠ .20A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α =
A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether union
According to the Pew Internet & American Life Project, 75% of American adults use the Internet (Pew Internet website, April 19, 2008). The Pew project authors also reported on the percentage of
In 2008, 46% of business owners gave a holiday gift to their employees. A 2009 survey of business owners indicated that 35% planned to provide a holiday gift to their employees (Radio WEZV, Myrtle
Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute indicate that the percentage is now 46% (The Wall Street Journal, October
According to the University Of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets returned (BusinessWeek, January 15, 2007). A Houston department store
Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit card customers.
One of the reasons health care costs have been rising rapidly in recent years is the increasing cost of malpractice insurance for physicians. Also, fear of being sued causes doctors to run more
The American Association of Individual Investors (AAII) conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six
A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the
At Western University the historical mean of scholarship examination scores for fresh-man applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the
Young children in the United States are exposed to an average of 4 hours of background television per day (CNN website, November 13, 2012). Having the television on in the background while children
On Friday, Wall Street traders were anxiously awaiting the federal government’s release of numbers on the January increase in nonfarm payrolls. The early consensus estimate among economists was for
Data released by the National Center for Health Statistics showed that the mean age at which women had their first child was 25.0 in 2006 (The Wall Street Journal, February 4, 2009). The reporter,
A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 (AARP Bulletin, January–February, 2010). Suppose you would like to determine
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot. Suppose a sample of 32 properties provided
In Hamilton County, Ohio, the mean number of days needed to sell a house is 86 days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale of 40 houses in a nearby county showed a
On December 25, 2009, an airline passenger was subdued while attempting to blow up a Northwest Airlines flight headed for Detroit, Michigan. The passenger had smuggled explosives hidden in his
An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop computer on overnight business trips.a. State the hypotheses that can be used
Virtual call centers are staffed by individuals working out of their homes. Most home agents earn $10 to $15 per hour without benefits versus $7 to $9 per hour with benefits at a traditional call
The unemployment rate for 18-to 34-year-olds was reported to be 10.8% (The Cincinnati Enquirer, November 6, 2012). Assume that this report was based on a random sample of four hundred 18- to
In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from the Organization for Economic Cooperation and Development (OECD)
1. Conduct a hypothesis test for each sample at the .01 level of significance and determine what action, if any, should be taken. Provide the test statistic and p-value for each test.2. Compute the
Prepare a report for the dean of the college that summarizes your assessment of the nature of cheating by business students at Bayview University. Be sure to include the following items in your
Consider the following hypothesis test.H0: μ1 – μ2 = 0H0: μ1 – μ2 = 0The following results are for two independent samples taken from the two populations.a. What is the value of the test
Refer to exercise.a. What hypotheses are implied in this problem?b. At the α = .05 level of significance, can we reject the null hypothesis in part (a)?Explain.
Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the
In a Good Housekeeping article, the organization reports that while washing machines have become more efficient in the last several years, washing machine manufacturers are finding it difficult to
The average American consumed 10.6 pounds of mozzarella cheese in 2009 (U.S. Department of Agriculture, February 20, 2012). Do male and female consumers differ in the amounts of mozzarella cheese
Suppose that you are responsible for making arrangements for a business convention. Because of budget cuts due to the recent recession, you have been charged with choosing a city for the convention
Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation’s largest retailers (Consumer Reports, March 2012). Each survey respondent is asked to rate a
Will improving customer service result in higher stock prices for the companies providing the better service? “When a company’s satisfaction score has improved over the prior year’s results and
Consider the following data for two independent random samples taken from two normal populations.a. Compute the two sample means.b. Compute the two sample standard deviations.c. What is the point
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college age children (Money,
Results of the 2011 Zagat Fast-Food Survey show Americans eat an average of 6.3 meals per month at fast-food chains. Suppose that in a follow-up study of 45 consumers in Oklahoma City and 55
Commercial real estate prices and rental rates suffered substantial declines in 2008 and 2009 (Newsweek, July 27, 2009). These declines were particularly severe in Asia; annual lease rates in Tokyo,
The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test takerâ€™s parents. A research hypothesis was that
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the
Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time (Associated Press, April 2, 2012). AirTran
The following data are from matched samples taken from two populations.a. Compute the difference value for each element.b. Compute d.c. Compute the standard deviation sd.d. What is the point estimate
The price per share of stock for a sample of 25 companies was recorded at the beginning of 2012 and then again at the end of the 1st quarter of 2012 (The Wall Street Journal April 2, 2012). How
Bank of America’s Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses,
The Global Business Travel Association reported the domestic airfare for business travel for the current year and the previous year (INC. Magazine, February 2012). Below is a sample of 12 flights
The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading (The Wall Almanac, 2012). Sample data showing the math and writing scores for a sample of 12
Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table (Golfweek, February 14, 2009, and February 28, 2009). Suppose
In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 400, SSTR = 150, nT = 19. Set up the ANOVA table and test for any
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance.
Develop the analysis of variance computations for the following completely randomized design. At Î± = .05, is there a significant difference between the treatmentmeans?
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected
To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Construct an analysis of variance table. Use a
Auditors must make judgments about various aspects of an audit on the basis of their own direct experience, indirect experience, or a combination of the two. In a study, auditors were asked to make
Four different paints are advertised as having the same drying time. To check the manufacturerâ€™s claims, five samples were tested for each of the paints. The time in minutes until the paint
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal
According to Bankrate.com, a navigation system is an expensive option that does not enhance the resale value of an automobile (Bankrate.com website, February 11, 2013). Use the data in the file
In an online report, Medscape Today News reported that anesthesiologists earned a mean income of $309,000 in 2011 (February 22, 2013). Compensation covers salary, bonus, and profit-sharing
Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not require
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are
In early 2009, the economy was experiencing a recession. But how was the recession affecting the stock market? Shown are data from a sample of 15 companies. Shown for each company is the price per
A study reported in the Journal of Small Business Management concluded that self-employed individuals do not experience higher job satisfaction than individuals who are not self-employed. In this
The U.S. Environmental Protection Agency (EPA) monitors levels of pollutants in the air for cities across the country. Ozone pollution levels are measured using a 500-point scale; lower scores
The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical area. Each metropolitan statistical area (MSA) has at least one urbanized area of
Three different assembly methods have been proposed for a new product. A completely randomized experimental design was chosen to determine which assembly method results in the greatest number of
In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a
1. Use descriptive statistics to summarize the data from the two studies. What are your preliminary observations about the depression scores?2. Use analysis of variance on both data sets. State the
1. Use descriptive statistics to summarize the data.2. Develop a 95% confidence interval estimate of the mean annual salary for all sales-persons, regardless of years of experience and type of
Consider the following hypothesis test.H0: p1 â€“ p2 = 0Ha: p1 â€“ p2 â‰ 0The following results are for independent samples taken from the two populations.a. What is the pooled
Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (Forbes website, April 10, 2012). But does trust in Pinterest differ by
Researchers with Oceana, a group dedicated to preserving the ocean ecosystem, reported finding that 33% of fish sold in retail outlets, grocery stores, and sushi bars throughout the United States had
Minnesota had the highest turnout rate of any state for the 2012 presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural
Oil wells are expensive to drill, and dry wells are a great concern to oil exploration companies. The domestic oil and natural gas producer Aegis Oil, LLC describes on its website how improvements in
The Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA today, February 16, 2012). Suppose the survey sampled 200 men
Winter visitors are extremely important to the economy of Southwest Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (NaplesDaily News March 22, 2012).
Reconsider the observed frequencies in exercise 11.a. Compute the sample proportion for each population.b. Use the multiple comparison procedure to determine which population proportions differ
The sample data below represent the number of late and on time flights for Delta, United, and US Airways (Bureau of Transportation Statistics, March 2012).a. Formulate the hypotheses for a test that
Kate Sanders, a researcher in the department of biology at IPFW University, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012).
A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequencies showing the number of sampled returns with errors and the number of
Social networking is becoming more and more popular around the world. Pew Research Center used a survey of adults in several countries to determine the percentage of adults who use social networking
A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good.

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