Defi ne Type I and Type II errors.

Problems: Testing Hypotheses: One Sample Tests

Problem-1: Testing Hypotheses: One Sample Tests

How many standard errors around the hypothesized value should we use to be 99.44 percent certain that we accept the hypothesis when it is true?Contact us for the solution

Problem-2: Testing Hypotheses: One Sample Tests

An automobile manufacturer claims that a particular model gets 28 miles to the gallon. The Environmental Protection Agency, using a sample of 49 automobiles of this model, finds the sample...

Problem-3: Testing Hypotheses: One Sample Tests

If we reject a hypothesized value because it differs from a sample statistic by more than 1.75 standard errors, what is the probability that we have rejected a hypothesis that...

Problem-4: Testing Hypotheses: One Sample Tests

How many standard errors around the hypothesized value should we use to be 98 percent certain that we accept the hypothesis when it is true?Contact us for the solution

Problem-5: Testing Hypotheses: One Sample Tests

Sports and media magnate Ned Sterner is interested in purchasing the Atlanta Stalwarts if he can be reasonably certain that operating the team will not be too costly. He figures...

Problem-6: Testing Hypotheses: One Sample Tests

Computing World has asserted that the amount of time owners of personal computers spend on their machines averages 23.9 hours per week and has a standard deviation of 12.6 hours...

Problem-7: Testing Hypotheses: One Sample Tests

A grocery store has specially packaged oranges and has claimed a bag of oranges will yield 2.5 quarts of juice. After randomly selecting 42 bags, a stacker found the average...

Problem-8: Testing Hypotheses: One Sample Tests

For the following cases, specify which probability distribution to use in a hypothesis test: (a) H 0: μ = 27, H1: μ ≠ 27, x = 33, ˆσ = 4,...

Problem-9: Testing Hypotheses: One Sample Tests

Martha Inman, a highway safety engineer, decides to test the load-bearing capacity of a bridge that is 20 years old. Considerable data are available from similar tests on the same...

Problem-10: Testing Hypotheses: One Sample Tests

Formulate null and alternative hypotheses to test whether the mean annual snowfall in Buffalo, New York, exceeds 45 inches.Contact us for the solution

Problem-11: Testing Hypotheses: One Sample Tests

Describe what the null and alternative hypotheses typically represent in the hypothesis-testing process.Contact us for the solution

Problem-12: Testing Hypotheses: One Sample Tests

Defi ne the term signifi cance level.Contact us for the solution

Problem-13: Testing Hypotheses: One Sample Tests

Defi ne Type I and Type II errors.Contact us for the solution

Problem-14: Testing Hypotheses: One Sample Tests

In a trial, the null hypothesis is that an individual is innocent of a certain crime. Would the legal system prefer to commit a Type I or a Type II...

Problem-15: Testing Hypotheses: One Sample Tests

What is the relationship between the significance level of a test and Type I error?Contact us for the solution

Problem-16: Testing Hypotheses: One Sample Tests

If our goal is to accept a null hypothesis that μ = 36.5 with 96 percent certainty when it’s true, and our sample size is 50, diagram the acceptance and...

Problem-17: Testing Hypotheses: One Sample Tests

For the following cases, specify which probability distribution, to use in a hypothesis test: (a) H 0: μ = 15, H1: μ ≠ 15, x = 14.8, ˆσ = 3.0,...

Problem-18: Testing Hypotheses: One Sample Tests

Your null hypothesis is that the battery for a heart pacemaker has an average life of 300 days, with the alternative hypothesis being that the battery life is more than...

Problem-19: Testing Hypotheses: One Sample Tests

Under what conditions is it appropriate to use a one-tailed test? A two-tailed test?.Contact us for the solution

Problem-20: Testing Hypotheses: One Sample Tests

If you have decided that a one-tailed test is the appropriate test to use, how do you decide whether it should be a lower-tailed test or an uppertailed test?Contact us...

Problem-21: Testing Hypotheses: One Sample Tests

The statistics department installed energy-efficient lights, heaters, and air conditioners last year. Now they want to determine whether the average monthly energy usage has decreased. Should they perform a one-...

Problem-22: Testing Hypotheses: One Sample Tests

Dr. Ross Darrow believes that nicotine in cigarettes causes cigarette smokers to have higher daytime heart rates on average than do nonsmokers. He also believes that smokers crave the nicotine...

Problem-23: Testing Hypotheses: One Sample Tests

Hinton Press hypothesizes that the average life of its largest web press is 14,500 hours. They know that the standard deviation of press life is 2,100 hours. From a sample...

Problem-24: Testing Hypotheses: One Sample Tests

American Theaters knows that a certain hit movie ran an average of 84 days in each city, and the corresponding standard deviation was 10 days. The manager of the southeastern...

Problem-25: Testing Hypotheses: One Sample Tests

Atlas Sporting Goods has implemented a special trade promotion for its propane stove and feels that the promotion should result in a price change for the consumer. Atlas knows that...

Problem-26: Testing Hypotheses: One Sample Tests

From 1980 until 1985, the mean price/earnings (P/E) ratio of the approximately 1,800 stocks listed on the New York Stock Exchange was 14.35 and the standard deviation was 9.73. In...

Problem-27: Testing Hypotheses: One Sample Tests

Generally Electric has developed a new bulb whose design specifications call for a light out- put of 960 lumens compared to an earlier model that produced only 750 lumens. The...

Problem-28: Testing Hypotheses: One Sample Tests

Maxwell’s Hot Chocolate is concerned about the effect of the recent year-long coffee adver- tising campaign on hot chocolate sales. The average weekly hot chocolate sales two years ago was...

Problem-29: Testing Hypotheses: One Sample Tests

The average commission charged by full-service brokerage firms on a sale of common stock is $144, and the standard deviation is $52. Joel Freelander has taken a random sample of...

Problem-30: Testing Hypotheses: One Sample Tests

Each day, the United States Customs Service has historically intercepted about $28 million in contraband goods being smuggled into the country, with a standard deviation of $16 million per day....

Problem-31: Testing Hypotheses: One Sample Tests

Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in the United States had grown at a seasonally adjusted rate of 0.57 percent...

Problem-32: Testing Hypotheses: One Sample Tests

The Bay City Bigleaguers, a semiprofessional baseball team, have the player who led the league in batting average for many years. For thé past several years, Joe Carver’s batting average...

Problem-33: Testing Hypotheses: One Sample Tests

A ketchup manufacturer is in the process of deciding whether to produce a new extra-spicy brand. The company’s marketing-research department used a national telephone survey of 6,000 households and found...

Problem-34: Testing Hypotheses: One Sample Tests

Steve Cutter sells Big Blade lawn mowers in his hardware store, and he is interested in comparing the reliability of the mowers he sells with the reliability of Big Blade...

Problem-35: Testing Hypotheses: One Sample Tests

Grant, Inc., a manufacturer of women’s dress blouses, knows that its brand is carried in 19 per- cent of the women’s clothing stores east of the Mississippi River. Grant recently...

Problem-36: Testing Hypotheses: One Sample Tests

From a total of 10,200 loans made by a state employees’ credit union in the most recent 5-year period, 350 were sampled to determine what proportion was made to women....

Problem-37: Testing Hypotheses: One Sample Tests

Feronetics specializes in the use of gene-splicing techniques to produce new pharmaceutical compounds. It has recently developed a nasal spray containing interferon, which it believes will limit the transmission of...

Problem-38: Testing Hypotheses: One Sample Tests

Some financial theoreticians believe that the stock market’s daily prices constitute a “random walk with positive drift.” If this is accurate, then the Dow Jones Industrial Average should show a...

Problem-39: Testing Hypotheses: One Sample Tests

MacroSwift estimated last year that 35 percent of potential software buyers were planning to wait to purchase the new operating system, Window Panes, until an upgrade had been released. After...

Problem-40: Testing Hypotheses: One Sample Tests

Rick Douglas, the new manager of Food Barn, is interested in the percentage of customers who are totally satisfied with the store. The previous manager had 86 percent of the...

Problem-41: Testing Hypotheses: One Sample Tests

Given a sample mean of 83, a sample standard deviation of 12.5, and a samplesize of 22, test the hypothesis that the value of the population mean is 70 against...

Problem-42: Testing Hypotheses: One Sample Tests

Picosoft, Ltd., a supplier of operating system software for personal computers, was planning the initial public offering of its stock in order to raise sufficient working capital to finance the...

Problem-43: Testing Hypotheses: One Sample Tests

Given a sample mean of 94.3, a sample standard deviation of 8.4, and a sample size of 6, test the hypothesis that the value of the population mean is 100...

Problem-44: Testing Hypotheses: One Sample Tests

If a sample of 25 observations reveals a sample mean of 52 and a sample variance of 4.2, test the hypothesis that the population mean is 65 against the alternative...

Problem-45: Testing Hypotheses: One Sample Tests

Realtor Elaine Snyderman took a random sample of 12 homes in a prestigious suburb of Chicago and found the average appraised market value to be $780,000, and the standard deviation...

Problem-46: Testing Hypotheses: One Sample Tests

For a sample of 60 women taken from a population of over 5,000 enrolled in a weight- reducing program at a nationwide chain of health spas, the sample mean diastolic...

Problem-47: Testing Hypotheses: One Sample Tests

The data-processing department at a large life insurance company has installed new color video display terminals to replace the monochrome units it previously used. The 95 opera- tors trained to...

Problem-48: Testing Hypotheses: One Sample Tests

As the bottom fell out of the oil market in early 1986, educators in Texas worried about how the resulting loss of state revenues (estimated to be about $100 million...

Problem-49: Testing Hypotheses: One Sample Tests

A television documentary on overeating claimed that Americans are about 10 pounds over- weight on average. To test this claim, eighteen randomly selected individuals were examined; their average excess weight...

Problem-50: Testing Hypotheses: One Sample Tests

XCO, a multinational manufacturer, uses a batch process to produce widgets. Each batch of widgets takes 8 hours to produce and has material and labor costs of $8,476. Because of...

Problem-51: Testing Hypotheses: One Sample Tests

For the following situations, state appropriate null and alternative hypotheses. (a) The Census Bureau wants to determine whether the percentage of homeless people in New York City is the same...

Problem-52: Testing Hypotheses: One Sample Tests

Health Electronics, Inc., a manufacturer of pacemaker batteries, specifies that’ the life of each battery is greater than or equal to 28 months. If scheduling for replacement surgery for the...

Problem-53: Testing Hypotheses: One Sample Tests

A manufacturer of petite women’s sportswear has hypothesized that the average weight of the women buying its clothing is 110 pounds. The company takes two samples of its customers and...

Problem-54: Testing Hypotheses: One Sample Tests

Many cities have adopted High Occupancy Vehicle (HOV) lanes to speed commuter traffic to downtown business districts. Planning for Metro Transportation District has depended on a well- established average of...

Problem-55: Testing Hypotheses: One Sample Tests

In Exercise SC 8-5, what would be the power of the test for μ = 14,000,13,500, and 13,000 if the signifi cance level were changed to 0.10?Contact us for the...

Problem-56: Testing Hypotheses: One Sample Tests

On an average day, about 5 percent of the stocks on the New York Stock Exchange set a new high for the year. On Friday, September 18, 1992, the Dow...

Problem-57: Testing Hypotheses: One Sample Tests

In response to criticism concerning lost mail, the U.S. Postal Service initiated new procedures to alleviate this problem. The postmaster general had been assured that this change would reduce losses...

Problem-58: Testing Hypotheses: One Sample Tests

What is the probability that we are rejecting a true null hypothesis when we reject the hypoth- esized value because (a) The sample statistic differs from it by more than...

Problem-59: Testing Hypotheses: One Sample Tests

Do significantly fewer closed end equity funds sell at a discount than at a premium ? Test at @=0.01Contact us for the solution

Problem-60: Testing Hypotheses: One Sample Tests

A finace professor developed a theory that predicted that closed end equity funds should sell at a premium of about 5 percent on average.Contact us for the solution

Problem-61: Testing Hypotheses: One Sample Tests

If we wish to accept the null hypothesis 85 percent of the time when it is correct, within how many standard errors around the hypothesized mean should the sample mean...

Problem-62: Testing Hypotheses: One Sample Tests

Federal environmental statutes applying to a particular nuclear power plant specify that recy- cled water must, on average, be no warmer than 84°F (28.9°C) before it can be released into...

Problem-63: Testing Hypotheses: One Sample Tests

State inspectors, investigating charges that a Louisiana soft-drink bottling company underfills its product, have sampled 200 bottles and found the average contents to be 31.7 fluid ounces. The bottles are...

Problem-64: Testing Hypotheses: One Sample Tests

In 1995, the average 2-week-advance-purchase airfare between Raleigh-Durham, North Carolina, and New York City was $235. The population standard deviation was $68. A1996 survey of 90 randomly chosen travelers between...

Problem-65: Testing Hypotheses: One Sample Tests

Audio Sounds runs a chain of stores selling stereo systems and components. It has been very successful in many university towns, but it has had some failures. Analysis of its...

Problem-66: Testing Hypotheses: One Sample Tests

The City of Oakley collects a 1.5 percent transfer tax on closed real estate transactions. In an average week, there are usually 32 closed transactions, with a standard deviation of...

Problem-67: Testing Hypotheses: One Sample Tests

In 1996, it was estimated that about 72 percent of all U.S. households were cable TV sub- scribers. Newstime magazine’s editors were sure that their readers subscribed to cable TV...

Problem-68: Testing Hypotheses: One Sample Tests

A company, recently criticized for not paying women as much as men working in the same positions, claims that its average salary paid to all employees is $23,500. From a...

Problem-69: Testing Hypotheses: One Sample Tests

Drive-a-Lemon rents cars that are mechanically sound, but older than those rented by the large national rent-a-car chains. As a result, it advertises that its rates are consider- ably lower...

Problem-70: Testing Hypotheses: One Sample Tests

Assuming that the population is approximately normally distributed, is it reasonable to conclude, at a 5 percent significance level, that the average age of the CEOS of all closely held...

Problem-71: Testing Hypotheses: One Sample Tests

In Exercise 8-26, what would be the power of the test for μ = $41.95, $42.95, and $43.95 if the significance level were changed to 0.05?Contact us for the solution

Problem-72: Testing Hypotheses: One Sample Tests

The median number of children in U>S. households is 2. At a 10 percent significance level.Contact us for the solution

Problem-73: Testing Hypotheses: One Sample Tests

Approximately 65 percent of all adults in the United States are3 married is the proportion of married CEOs significance greater than that of the general population ?Contact us for the...

Problem-74: Testing Hypotheses: One Sample Tests

Refer to Exercise 8-26. Compute the power of the test for μ = $41.95, $42.95, and $43.95.Contact us for the solution

Problem-75: Testing Hypotheses: One Sample Tests

A personnel manager believed that 18 percent of the company’s employees work overtime every week. If the observed proportion this week is 13 percent in a sample of 250 of...

Problem-76: Testing Hypotheses: One Sample Tests

Refer to Exercise SC 8-5. Compute the power of the test for μ = 14,000, 13,500, and 13,000.Contact us for the solution

Problem-77: Testing Hypotheses: One Sample Tests

A stockbroker claims that she can predict with 85 percent accuracy whether a stock’s market value will rise or fall during the coming month. As a test, she predicts the...

Problem-78: Testing Hypotheses: One Sample Tests

A manufacturer of a vitamin supplement for newborns inserts a coupon for a free sample of its product in a package that is distributed at hospitals to new parents.Contact us...

Testing Hypotheses: One Sample Tests

Problem-13: Testing Hypotheses: One Sample Tests

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