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 finds one sample’s estimate of the population mean is 98 pounds, and the other sample pro- duces a mean weight of 122 pounds. In the test of the company’s hypothesis that the population mean is 110 pounds versus the hypothesis that the mean does not equal 110 pounds, is one of these sample values more likely to lead us to accept the null hypothesis? Why or why not?

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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 tha...

Problem-2: Testing Hypotheses: One Sample Tests

An automobile manufacturer claims that a particular model gets 28 miles to the gallon. The Environme...

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 stand...

Problem-4: Testing Hypotheses: One Sample Tests

How many standard errors around the hypothesized value should we use to be 98 percent certain that w...

Problem-5: Testing Hypotheses: One Sample Tests

Sports and media magnate Ned Sterner is interested in purchasing the Atlanta Stalwarts if he can be ...

Problem-6: Testing Hypotheses: One Sample Tests

Computing World has asserted that the amount of time owners of personal computers spend on their mac...

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 quart...

Problem-8: Testing Hypotheses: One Sample Tests

For the following cases, specify which probability distribution to use in a hypothesis test: (a) H ...

Problem-9: Testing Hypotheses: One Sample Tests

Martha Inman, a highway safety engineer, decides to test the load-bearing capacity of a bridge that ...

Problem-10: Testing Hypotheses: One Sample Tests

Formulate null and alternative hypotheses to test whether the mean annual snowfall in Buffalo, New Y...

Problem-11: Testing Hypotheses: One Sample Tests

Describe what the null and alternative hypotheses typically represent in the hypothesis-testing proc...

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 lega...

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 th...

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, a...

Problem-17: Testing Hypotheses: One Sample Tests

For the following cases, specify which probability distribution, to use in a hypothesis test: (a) H...

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...

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 ...

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...

Problem-21: Testing Hypotheses: One Sample Tests

The statistics department installed energy-efficient lights, heaters, and air conditioners last year...

Problem-22: Testing Hypotheses: One Sample Tests

Dr. Ross Darrow believes that nicotine in cigarettes causes cigarette smokers to have higher daytime...

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 ...

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 cor...

Problem-25: Testing Hypotheses: One Sample Tests

Atlas Sporting Goods has implemented a special trade promotion for its propane stove and feels 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 o...

Problem-27: Testing Hypotheses: One Sample Tests

Generally Electric has developed a new bulb whose design specifications call for a light out- put of...

Problem-28: Testing Hypotheses: One Sample Tests

Maxwell’s Hot Chocolate is concerned about the effect of the recent year-long coffee adver- tising c...

Problem-29: Testing Hypotheses: One Sample Tests

The average commission charged by full-service brokerage firms on a sale of common stock is $144, an...

Problem-30: Testing Hypotheses: One Sample Tests

Each day, the United States Customs Service has historically intercepted about $28 million in contra...

Problem-31: Testing Hypotheses: One Sample Tests

Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in th...

Problem-32: Testing Hypotheses: One Sample Tests

The Bay City Bigleaguers, a semiprofessional baseball team, have the player who led the league in ba...

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...

Problem-34: Testing Hypotheses: One Sample Tests

Steve Cutter sells Big Blade lawn mowers in his hardware store, and he is interested in comparing th...

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- cen...

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 perio...

Problem-37: Testing Hypotheses: One Sample Tests

Feronetics specializes in the use of gene-splicing techniques to produce new pharmaceutical compound...

Problem-38: Testing Hypotheses: One Sample Tests

Some financial theoreticians believe that the stock market’s daily prices constitute a “random walk ...

Problem-39: Testing Hypotheses: One Sample Tests

MacroSwift estimated last year that 35 percent of potential software buyers were planning to wait to...

Problem-40: Testing Hypotheses: One Sample Tests

Rick Douglas, the new manager of Food Barn, is interested in the percentage of customers who are tot...

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 hyp...

Problem-42: Testing Hypotheses: One Sample Tests

Picosoft, Ltd., a supplier of operating system software for personal computers, was planning the ini...

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 hy...

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 hy...

Problem-45: Testing Hypotheses: One Sample Tests

Realtor Elaine Snyderman took a random sample of 12 homes in a prestigious suburb of Chicago and fou...

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 progra...

Problem-47: Testing Hypotheses: One Sample Tests

The data-processing department at a large life insurance company has installed new color video displ...

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 res...

Problem-49: Testing Hypotheses: One Sample Tests

A television documentary on overeating claimed that Americans are about 10 pounds over- weight on av...

Problem-50: Testing Hypotheses: One Sample Tests

XCO, a multinational manufacturer, uses a batch process to produce widgets. Each batch of widgets ta...

Problem-51: Testing Hypotheses: One Sample Tests

For the following situations, state appropriate null and alternative hypotheses. (a) The Census Bu...

Problem-52: Testing Hypotheses: One Sample Tests

Health Electronics, Inc., a manufacturer of pacemaker batteries, specifies that’ the life of each ba...

Problem-53: Testing Hypotheses: One Sample Tests

A manufacturer of petite women’s sportswear has hypothesized that the average weight of the women bu...

Problem-54: Testing Hypotheses: One Sample Tests

Many cities have adopted High Occupancy Vehicle (HOV) lanes to speed commuter traffic to downtown bu...

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 sig...

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 t...

Problem-57: Testing Hypotheses: One Sample Tests

In response to criticism concerning lost mail, the U.S. Postal Service initiated new procedures to a...

Problem-58: Testing Hypotheses: One Sample Tests

What is the probability that we are rejecting a true null hypothesis when we reject the hypoth- esiz...

Problem-59: Testing Hypotheses: One Sample Tests

Do significantly fewer closed end equity funds sell at a discount than at a premium ? Test at @=0.01...

Problem-60: Testing Hypotheses: One Sample Tests

A finace professor developed a theory that predicted that closed end equity funds should sell at a p...

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 ...

Problem-62: Testing Hypotheses: One Sample Tests

Federal environmental statutes applying to a particular nuclear power plant specify that recy- cled ...

Problem-63: Testing Hypotheses: One Sample Tests

State inspectors, investigating charges that a Louisiana soft-drink bottling company underfills its ...

Problem-64: Testing Hypotheses: One Sample Tests

In 1995, the average 2-week-advance-purchase airfare between Raleigh-Durham, North Carolina, and New...

Problem-65: Testing Hypotheses: One Sample Tests

Audio Sounds runs a chain of stores selling stereo systems and components. It has been very successf...

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 ave...

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. ...

Problem-68: Testing Hypotheses: One Sample Tests

A company, recently criticized for not paying women as much as men working in the same positions, cl...

Problem-69: Testing Hypotheses: One Sample Tests

Drive-a-Lemon rents cars that are mechanically sound, but older than those rented by the large natio...

Problem-70: Testing Hypotheses: One Sample Tests

Assuming that the population is approximately normally distributed, is it reasonable to conclude, at...

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 sign...

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...

Problem-73: Testing Hypotheses: One Sample Tests

Approximately 65 percent of all adults in the United States are3 married is the proportion of marrie...

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 ...

Problem-75: Testing Hypotheses: One Sample Tests

A personnel manager believed that 18 percent of the company’s employees work overtime every week. If...

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 u...

Problem-77: Testing Hypotheses: One Sample Tests

A stockbroker claims that she can predict with 85 percent accuracy whether a stock’s market value wi...

Problem-78: Testing Hypotheses: One Sample Tests

A manufacturer of a vitamin supplement for newborns inserts a coupon for a free sample of its produc...

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