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theory of statistics

Questions and Answers of Theory of Statistics

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
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
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
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
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
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
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
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
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.
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
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
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
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.
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
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
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
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.
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.
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
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
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
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
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.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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. Several
Given the following hypothesis:For a random sample of 12 observations, the sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:a. State the decision rule.b.
Given the following hypothesis:For a random sample of 10 observations, the sample mean was 12 and the sample standard deviation 3. Using the .05 significance level:a. State the decision rule.b.
The mean life of a battery used in a digital clock is 305 days. The lives of the batteries follow the normal distribution. The battery was recently modified to last longer. A sample of 20 of the
The McFarland Insurance Company Claims Department reports the mean cost to process a claim is $60. An industry comparison showed this amount to be larger than most other insurance companies, so the
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average more than $80 a day in tips.” Assume the standard deviation of the population
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 0.5 hours. A random sample of 36 college students
The MacBurger restaurant chain claims that the mean waiting time of customers is 3 minutes with a population standard deviation of 1 minute. The quality-assurance department found in a sample of 50
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. The population standard deviation of the
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 .03
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 significance
The following information is available.The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significance level.(a) Is this a one- or two-tailed test?(b) What
The following information is available.The sample mean is 49, and the sample size is 36. The population standard deviation is 5. Use the .05 significance level.(a) Is this a one- or two-tailed
Refer to Self-Review 10–1.(a) Suppose the next to the last sentence is changed to read: Does this evidence suggest that the mean amount dispensed is more than 16 ounces? State the null hypothesis
Heinz, a manufacturer of ketchup, uses a particular machine to dispense 16 ounces of its ketchup into containers. From many years of experience with the particular dispensing machine, Heinz knows the
Jamestown Steel Company manufactures and assembles desks and other office equipment at several plants in western New York State. The weekly production of the Model A325 desk at the Fredonia Plant
Distinguish between a one-tailed and a two-tailed test of hypothesis.
Describe the five-step hypothesis-testing procedure
Define a hypothesis and hypothesis testing.
Refer to the CIA data, which report demographic and economic information on 46 countries.a. Develop a 90 percent confidence interval for the mean percent of the population age 65 years or older.b.
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.
Refer to the Baseball 2006 data, which report information on the 30 Major League Baseball teams for the 2006 season.a. Develop a 95 percent confidence interval for the mean number of home runs per
Refer to the Real Estate data, which report information on the homes sold in Denver, Colorado, last year.a. Develop a 95 percent confidence interval for the mean selling price of the homes.b. Develop
The online edition of the Information Please Almanac is a valuable source of business information. Go to the website at www.infoplease.com. On the left, click on Business. Then in the Almanac
Yahoo is an excellent source of business information. It includes daily summaries as well as information about various industries and specific companies. Go to the site http://finance.yahoo.com.
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state. Current estimates are that 35
Huntington National Bank, like most other large banks, found that using automatic teller machines (ATMs) reduces the cost of routine bank transactions. Huntington installed an ATM in the corporate
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95 percent confidence level and state that the estimated proportion must be within 2
A film alliance used a random sample of 50 U.S. citizens to estimate that the typical American spent 78 hours watching videos and DVDs last year. The standard deviation of this sample was 9 hours.a.
A random sample of 25 people employed by the Florida Department of Transportation earned an average wage (including benefits) of$65.00 per hour. The sample standard deviation was $6.25 per hour.a.
Passenger comfort is influenced by the amount of pressurization in an airline cabin. Higher pressurization permits a closer-to-normal environment and a more relaxed flight. A study by an airline user
Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It found that the mean annual health insurance premium for a family with
You need to estimate the mean number of travel days per year for pharmaceutical sales representatives. The mean of a small pilot study was 150 days, with a standard deviation of 14 days. If you must
Police Chief Edward Wilkin of River City reports 500 traffic citations were issued last month. A sample of 35 of these citations showed the mean amount of the fine was $54, with a standard deviation
Dr. Susan Benner is an industrial psychologist. She is currently studying stress among executives of Internet companies. She has developed a questionnaire that she believes measures stress. A score
Warren County Telephone Company claims in its annual report that“the typical customer spends $60 per month on local and longdistance service.” A sample of 12 subscribers revealed the following
The National Collegiate Athletic Association (NCAA) reported that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season was 70. A
A recent study of 50 self-service gasoline stations in the Greater Cincinnati–Northern Kentucky metropolitan area revealed that the mean price of unleaded gas was $2.799 per gallon. The sample
Past surveys reveal that 30 percent of tourists going to Las Vegas to gamble during a weekend spend more than $1,000. Management wants to update this percentage.a. The new study is to use the 90
Suppose the U.S. president wants an estimate of the proportion of the population who support his current policy toward revisions in the Social Security system. The president wants the estimate to be
A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few
Will you assist the college registrar in determining how many transcripts to study? The registrar wants to estimate the arithmetic mean grade point average (GPA) of all graduating seniors during the
The study in the previous example also estimates the proportion of cities that have private refuse collectors. The student wants the margin of error to be within .10 of the population proportion, the
There are 300 welders employed at Maine Shipyards Corporation. A sample of 30 welders revealed that 18 graduated from a registered welding course. Construct the 95 percent confidence interval for the
A student in public administration wants to determine the mean amount members of city councils in large cities earn per month as remuneration for being a council member. The error in estimating the

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