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theory of statistics

Basic Statistics For Business And Economics 6th Edition Douglas Lind, William Marchal, Samuel Wathen - Solutions

When only two treatments are involved, ANOVA and the Student t test (Chapter 10) result in the same conclusions. Also, t2 = F. As an example, suppose that 14 randomly selected students were divided into two groups, one consisting of 6 students and the other of 8. One group was taught using a
A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three weeks the following weight losses, in pounds, were noted. At the .05 significance level, can she conclude that
There are two Chevrolet dealers in Jamestown, New York. The mean monthly sales at Sharkey Chevy and Dave White Chevrolet are about the same. However, Tom Sharkey, the owner of Sharkey Chevy, believes his sales are more consistent. Below is the number of new cars sold at Sharkey in the last seven
A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The processing time depends on the particular program being run, the amount of input data, and the amount of
A stock analyst wants to determine whether there is a difference in the mean rate of return for three types of stock: utility, retail, and banking stocks. The following output is obtained:a. Using the .05 level of significance, is there a difference in the mean rate of return among the three types
Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.a. State the null hypothesis and the alternate hypothesis.b. What is the decision rule?c. Compute SST, SSE, and SS total.d. Complete an ANOVA table.e. State your decision
Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance levela. State the null hypothesis and the alternate hypothesis.b. What is the decision rule?c. Compute SST, SSE, and SS total.d. Complete an ANOVA table.e. State your decision
The following data are the semester tuition charges (expressed in thousands of dollars) for a sample of private colleges in various regions of the United States. At the .05 significance level, can we conclude there is a difference in the mean tuition rates for the various regions?(a) State the null
A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importance is the income in the area surrounding the proposed mall. A random sample of four families is selected near each proposed
The following is sample information. Test the hypothesis at the .05 significance level that the treatment means are equal.a. State the null hypothesis and the alternate hypotheses.b. What is the decision rule?c. Compute SST, SSE, and SS total.d. Complete an ANOVA table.e. State your decision
The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.a. State the null hypothesis and the alternate hypotheses.b. What is the decision rule?c. Compute SST, SSE, and SS total.d. Complete an ANOVA table.e. State your decision
Citrus Clean is a new all-purpose cleaner being test-marketed by placing displays in three different locations within various supermarkets. The number of 12-ounce bottles sold from each location within the supermarket is reported below.At the .05 significance level, is there a difference in the
Recently airlines have cut services, such as meals and snacks during flights, and started charging extra for some services such as accommodating overweight luggage, last-minute flight changes, and pets traveling in the cabin. However, they are still very concerned about service. Recently a group of
Joyce Kuhlman manages a regional financial center. She wishes to compare the productivity, as measured by the number of customers served, among three employees. Four days are randomly selected and the number of customers served by each employee is recorded. The results are: Wolfe White Korosa 55 66
A stockbroker at Critical Securities reported that the mean rate of return on a sample of 10 oil stocks was 12.6 percent with a standard deviation of 3.9 percent. The mean rate of return on a sample of 8 utility stocks was 10.9 percent with a standard deviation of 3.5 percent. At the .05
The following hypotheses are given.A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance level, is there more variation in the
The following hypotheses are given.A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six observations from the second population resulted in a standard deviation of 7. At the .02 significance level, is there a difference in
What is the critical F value for a sample of six observations in the numerator and four in the denominator? Use a two-tailed test and the.10 significance level.
What is the critical F value for a sample of four observations in the numerator and seven in the denominator? Use a one-tailed test and the .01 significance level.
Steele Electric Products, Inc., assembles electrical components for cell phones. For the last 10 days Mark Nagy has averaged 9 rejects, with a standard deviation of 2 rejects per day. Debbie Richmond averaged 8.5 rejects, with a standard deviation of 1.5 rejects, over the same period.At the .05
Lammers Limos offers limousine service from the city hall in Toledo, Ohio, to Metro Airport in Detroit. Sean Lammers, president of the company, is considering two routes. One is via U.S. 25 and the other via I-75. He wants to study the time it takes to drive to the airport using each route and then
Discuss the general idea of analysis of variance.
List the characteristics of the F distribution
48. Refer to the CIA data, which report demographic and economic information on 46 countries. Conduct a test of hypothesis to determine whether the mean percent of the population over 65 years of age in G-20 countries is different from those that are not G-20 members.
Refer to the Wage data, which report information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of education, and gender for each worker.a. Conduct a test of hypothesis to determine if there is a difference in the mean annual wages of Southern
46. Refer to the Baseball 2006 data, which report information on the 30 Major League Baseball teams for the 2006 season.a. At the .05 significance level, can we conclude that there is a difference in the mean salary of teams in the American League versus teams in the National League?b. At the .05
Refer to the Real Estate data, which report information on the homes sold in Denver, Colorado, last year.a. At the .05 significance level, can we conclude that there is a difference in the mean selling price of homes with a pool and homes without a pool?b. At the .05 significance level, can we
The USA Today website(http://www.usatoday.com/sports/baseball/salaries/default.aspx)reports information on individual player salaries. Go to the site and find the individual salaries for your favorite team in the American League and in the National League. Compute the mean and the standard
Listed below are several prominent companies and their stock prices in August 2005. Go to the Web and look up today’s price.There are many sources to find stock prices, such as Yahoo and CNNFI. The Yahoo address is http://finance.yahoo.com. Enter the symbol identification to find the current
The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then
The city of Laguna Beach operates two public parking lots. The one on Ocean Drive can accommodate up to 125 cars and the one on Rio Rancho can accommodate up to 130 cars. City planners are considering both increasing the size of the lots and changing the fee structure. To begin, the Planning Office
The following data on annual rates of return were collected from five stocks listed on the New York Stock Exchange (“the big board”)and five stocks listed on NASDAQ. Assume the population standard deviations are the same. At the .10 significance level, can we conclude that the annual rates of
An investigation of the effectiveness of an antibacterial soap in reducing operating room contamination resulted in the accompanying table. The new soap was tested in a sample of eight operating rooms in the greater Seattle area during the last year.At the 0.05 significance level, can we conclude
The following data resulted from a taste test of two different chocolate bars. The first number is a rating of the taste, which could range from 0 to 5, with a 5 indicating the person liked the taste. The second number indicates whether a “secret ingredient” was present.If the ingredient was
Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 15 people making inquiries at the first development is$150,000, with a standard deviation of
The president of the American Insurance Institute wants to compare the yearly costs of auto insurance offered by two leading companies.He selects a sample of 15 families, some with only a single insured driver, others with several teenage drivers, and pays each family a stipend to contact the two
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in
The manufacturer of an MP3 player wanted to know whether a 10 percent reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets, the MP3 player was
A study was conducted to determine if there was a difference in the humor content in British and American trade magazine advertisements. In an independent random sample of 270 American trade magazine advertisements, 56 were humorous. An independent random sample of 203 British trade magazines
In a poll recently conducted at Iowa State University, 68 out of 98 male students and 45 out of 85 female students expressed “at least some support” for implementing an “exit strategy” from Iraq. Test at the .05 significance level the null hypothesis that the population proportions are
There are two major Internet providers in the Colorado Springs, Colorado, area, one called HTC and the other Mountain Communications. We want to investigate whether there is a difference in the proportion of times a customer is able to access the Internet. During a one-week period, 500 calls were
Suppose the manufacturer of Advil, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a sample of 200 current users is asked to try it. After a one-month trial, 180 indicated the new drug was more effective in
Fry Brothers Heating and Air Conditioning, Inc., employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? What is the pvalue?
The null and alternate hypotheses are:The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the South Carolina Highway Patrol for the last five months.At the .05 significance level, is there a difference in the mean
Advertisements by Sylph Fitness Center claim that completing its course will result in losing weight. A random sample of eight recent participants showed the following weights before and after completing the course. At the .01 significance level, can we conclude the students lost weight?(a) State
The null and alternate hypotheses are:The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month.At the .05 significance level, can we conclude there are more defects produced on the afternoon shift? 0
Recall that Nickel Savings and Loan wishes to compare the two companies it uses to appraise the value of residential homes. Nickel Savings selected a sample of 10 residential properties and scheduled both firms for an appraisal. The results, reported in $000, are:At the .05 significance level, can
s2 p = 278.69, t 1.949, do not reject
A sample of scores on an examination given in Statistics 201 are:At the .01 significance level, is the mean grade of the women higher than that of the men? Men 72 69 98 Women 81 67 90 86 66 85 78 81 780 76 79 80 77 76
The null and alternate hypotheses are:A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15.
The null and alternate hypotheses are:A random sample of 10 observations from one population revealed a sample mean of 23 and a sample deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 significance
The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to compare the number of defective wheelchairs produced on the day shift with the number on the afternoon shift. A sample of the production from 6 day shifts and 8 afternoon shifts revealed the following number of
Owens Lawn Care, Inc., manufactures and assembles lawnmowers that are shipped to dealers throughout the United States and Canada. Two different procedures have been proposed for mounting the engine on the frame of the lawnmower. The question is: Is there a difference in the mean time to mount the
The Roper Organization conducted identical surveys 5 years apart.One question asked of women was “Are most men basically kind, gentle, and thoughtful?” The earlier survey revealed that, of the 3,000 women surveyed, 2,010 said that they were. The later revealed 1,530 of the 3,000 women surveyed
The null and alternate hypotheses are:A sample of 200 observations from the first population indicated that X1 is 170. A sample of 150 observations from the second population revealed X2 to be 110. Use the .05 significance level to test the hypothesis.a. State the decision rule.b. Compute the
The null and alternate hypotheses are:A sample of 100 observations from the first population indicated that X1 is 70. A sample of 150 observations from the second population revealed X2 to be 90. Use the .05 significance level to test the hypothesis.a. State the decision rule.b. Compute the pooled
Of 150 adults who tried a new peach-flavored Peppermint Patty, 87 rated it excellent. Of 200 children sampled, 123 rated it excellent. Using the .10 level of significance, can we conclude that there is a significant difference in the proportion of adults and the proportion of children who rate the
Manelli Perfume Company recently developed a new fragrance that it plans to market under the name Heavenly. A number of market studies indicate that Heavenly has very good market potential.The Sales Department at Manelli is particularly interested in whether there is a difference in the proportions
A financial analyst wants to compare the turnover rates, in percent, for shares of oil-related stocks versus other stocks, such as GE and IBM. She selected 32 oil-related stocks and 49 other stocks. The mean turnover rate of oil-related stocks is 31.4 percent and the population standard deviation
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 with a population standard deviation of 0.66. The sample mean is 2.59.Conduct the following test of
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 population standard deviation of 6. The sample mean is 99.Conduct the following test of hypothesis
Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar value of sales between the men and women he employs as sales associates. A sample of 40 days revealed the men sold a mean of $1,400 worth of appliances per day. For a sample of 50 days, the women sold a
Customers at FoodTown Super Markets have a choice when paying for their groceries. They may check out and pay using the standard cashier-assisted checkout, or they may use the new U-Scan procedure. In the standard procedure a FoodTown employee scans each item, puts it on a short conveyor where
Refer to the CIA data, which report demographic and economic information on 46 different countries.a. Conduct a test of hypothesis to determine if the mean number of cell phones is greater than 4.0. Use the .05 significance level. What is the p-value?b. Conduct a test of hypothesis to determine if
Refer to the Wage data, which report information on the annual wages for a sample of 100 workers. Also included are variables relating to the industry, years of education, and gender for each worker.a. Conduct a test of hypothesis to determine if the mean annual wage is greater than $30,000. Use
Refer to the Real Estate data, which report information on the homes sold in Denver, Colorado, last year.a. A recent article in the Denver Post indicated that the mean selling price of the homes in the area is more than $220,000. Can we conclude that the mean selling price in the Denver area is
Refer to the Baseball 2006 data, which report information on the 30 Major League Baseball teams for the 2006 season.a. Conduct a test of hypothesis to determine whether the mean salary of the teams was different from $80.0 million. Use the .05 significance level.b. Conduct a test of hypothesis to
The Gallup Organization in Princeton, New Jersey, is one of the best-known polling organizations in the United States. It often combines with USA Today or CNN to conduct polls of current interest. It also maintains a website at: http://www.gallup.com/.Consult this website to find the most recent
USA Today(http://www.usatoday.com/sports/baseball/salaries/default.aspx)reports information on individual player salaries. Go to this site and find the individual salaries for your favorite team. Compute the mean and the standard deviation. Is it reasonable to conclude that the mean salary on your
A national grocer’s magazine reports the typical shopper spends eight 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 standard deviation of 3.2 minutes. Is the waiting time at the local Farmer Jack’s less than that
The U.S. president’s call for designing and building a missile defense system that ignores restrictions of the Anti-Ballistic Missile Defense System treaty (ABM) is supported by 483 of the respondents in a nationwide poll of 1,002 adults. Is it reasonable to conclude that the nation is evenly
An urban planner claims that, nationally, 20 percent of all families renting condominiums move during a given year. A random sample of 200 families renting condominiums in the Dallas Metroplex revealed that 56 had moved during the past year. At the .01 significance level, does this evidence suggest
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 advertised in Bride Magazine that the cost of a Caribbean wedding was less than$10,000. Listed below is a
From past experience a television manufacturer found that 10 percent or less of its sets needed repair in the first two years of operation. In a sample of 50 sets manufactured two years ago, 9 needed repair. At the .05 significance level, has the percent of sets needing repair increased? Determine
Past experience at the Crowder Travel Agency indicated that 44 percent of those persons who wanted the agency to plan a vacation for them wanted to go to Europe. During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted
According to a study by the American Pet Food Dealers Association, 63 percent of U.S. households own pets. A report is being prepared for an editorial in the San Francisco Chronicle. As a part of the editorial a random sample of 300 households showed 210 own pets. Does this data disagree with the
Traditionally, two percent of the citizens of the United States live in a foreign country because they are disenchanted with U.S. politics or social attitudes. In order to test if this proportion has increased since the September 11, 2001, terror attacks, U.S. consulates contacted a random sample
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 comparable titles shows a mean weekly sales last week of 1.3 million copies with a standard deviation of
In the year 2007 the mean fare to fly from Charlotte, North Carolina, to Seattle, Washington, on a discount ticket was $267. A random sample of round-trip discount fares on this route last month gives:At the .01 significance level can we conclude that the mean fare has increased? What is the
Many grocery stores and large retailers such as Wal-Mart and Kmart have installed self-checkout systems so shoppers can scan their own items and cash out themselves. How do customers like this service and how often do they use it? Listed below is the number of customers using the service for a
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 1 watches provided the following gains (+)or losses(-)in seconds per week.Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .05
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 fundsUsing the .05 significance level is it reasonable to conclude that the mean rate of return is more than 4.50 percent? 4.63 4.15 4.76 4.70 4.65 4.52
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 following times to completion. (Note that the minutes have been changed to fractions of hours, so
eGolf.com receives an average of 6.5 returns per day from online shoppers. For a sample of 12 days, it received the following number of returnsAt the .01 significance level, can we conclude the mean number of returns is less than 6.5? 0 4 3 4 9 4 5 9 167 10
According to the Coffee Research Organization(http://www.coffeeresearch.org) 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 cups, yesterday.At the .05 significance level
A recent article in The Wall Street Journal reported that the 30-year mortgage rate is now less than 6 percent. A sample of eight small banks in the Midwest revealed the following 30-year rates (in percent):At the .01 significance level, can we conclude that the 30-year mortgage rate for small
In recent years the interest rate on home mortgages has declined to less than 6.0 percent. However, according to a study by the Federal Reserve Board the rate charged on credit card debt is more than 14 percent. Listed below is the interest rate charged on a sample of 10 credit cards.Is it
NBC TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is $2.50 per gallon for selfserve regular unleaded. A random sample of 35 stations in the Milwaukee, Wisconsin, area revealed that the mean price was $2.52 per gallon and that the standard
Dole Pineapple, Inc., is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounces. The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5 percent
According to the local union president, the mean 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$3,000. A recent investigative reporter for KYAK TV found, for a sample of 120 plumbers, the mean income was
Research at the University of Toledo indicates that 50 percent of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program.
The following hypotheses are given.A sample of 120 observations revealed that p = .30. At the .05 significance level, can the null hypothesis be rejected?a. State the decision rule.b. Compute the value of the test statistic.c. What is your decision regarding the null hypothesis?Note: It is
The following hypotheses are given.A sample of 100 observations revealed that p = .75. At the .05 significance level, can the null hypothesis be rejected?a. State the decision rule.b. Compute the value of the test statistic.c. What is your decision regarding the null hypothesis? I TT Ho: .70 H:
A recent insurance industry report indicated that 40 percent of those persons involved in minor traffic accidents this year have been involved in a least one other traffic accident in the last five years. An advisory group decided to investigate this claim, believing it was too large. A sample of
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 of in-depth surveys conducted during a week by a random sample of agents are:At the .05 level of
Experience raising New Jersey Red chickens revealed the mean weight of the chickens at five months is 4.35 pounds. The weights follow the normal distribution. In an effort to increase their weight, a special additive is added to the chicken feed. The subsequent weights of a sample of five-month-old
Given the following hypothesis:A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Using the .05 significance level, can we conclude the mean is different from 100?a. State the decision rule.b. Compute the value of the test statistic.c. What is your decision
Given the following hypothesis:A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Using the .01 significance level, can we conclude the population mean is less than 20?a. State the decision rule.b. Compute the value of the test statistic.c. What is your decision
A machine is set to fill a small bottle with 9.0 grams of medicine.A sample of eight bottles revealed the following amounts (grams) in each bottle.At the .01 significance level, can we conclude that the mean weight is less than 9.0 grams?(a) State the null hypothesis and the alternate

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