Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 7.4, Problem 7.31LM
A random sample of 64 observations produced the following summary statistics:
- a. Test the null hypothesis that μ = .36 against the alternative hypothesis that μ < .36 using α = .10.
- b. Test the null hypothesis that, μ = .36 against the alternative hypothesis that μ·≠ 36 using α = .10. Interpret the result.
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According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline
typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have
lower CO2 emissions. Here are their hypotheses:
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(where u is the mean amount of CO2 emitted by burning one gallon of this new gasoline).
Under which of the following conditions would the company commit a Type I error?
Cindy is a server at a local restaurant who makes, on average, $58 in tips per daytime shift. Cindy thinks she will make more if she moves to the nighttime shift. Her manager will choose five random nighttime shifts for Cindy to work. Cindy plans to conduct a significance test on the hypotheses H0: mu = 58; Ha: mu > 58 at the alpha = 0.05 level, where is the true mean amount of tips Cindy will make working nighttime shifts.
Are the conditions for performing the test met?
No, the 10% condition is not met.
No, the sample size is too small, and a Normal distribution cannot be assumed.
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Yes, only the random condition must be met in order to perform a significance test.
No, there is no way the manager could choose a random sample of shifts to work.
The nicotine content in cigarettes of a certain brand is normally distributed. The brand advertises that the mean nicotine content of their cigarettes is µ = 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of ?̅= 1.53 and s = 0.95. Is this evidence that the mean nicotine content is actually higher than advertised?
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H0: ? = 1.5
Ha: ? > 1.5
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t – do not have sigma
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? = 1.53−1.5 0.95 √100 ⁄ = 0.32
4. Find the appropriate range of p-value for your test. P-value:
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b. Between 0.005 and 0.01
c. Between 0.01 and 0.025
d. Between 0.025 and 0.05
e. Greater than 0.05
Chapter 7 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 7.2 - Which hypothesis, the null or the alternative, is...Ch. 7.2 - Which element of a test of hypothesis is used to...Ch. 7.2 - What is the level of significance of a test of...Ch. 7.2 - What is the difference between Type I and Type II...Ch. 7.2 - List the four possible results of the combinations...Ch. 7.2 - We reject the null hypothesis when the test...Ch. 7.2 - If you test a hypothesis and reject the null...Ch. 7.2 - For each of the following rejection regions,...Ch. 7.2 - Use the applet Hypothesis Test for a Mean to...Ch. 7.2 - Americans favorite sport. The Harris Poll...
Ch. 7.2 - Play Golf America program. The Professional Golf...Ch. 7.2 - Student loan default rate. The national student...Ch. 7.2 - A border protection avatar. The National Center...Ch. 7.2 - Calories in school lunches. A University of...Ch. 7.2 - Libor interest rate. The interest rate at which...Ch. 7.2 - Prob. 7.15ACICh. 7.2 - Authorizing computer users with palm prints....Ch. 7.2 - Jury trial outcomes. Sometimes, the outcome of a...Ch. 7.2 - Intrusion detection systems. The Journal of...Ch. 7.3 - Consider the test of H0: = 7. For each of the...Ch. 7.3 - If a hypothesis test were conducted using = .05,...Ch. 7.3 - For each and observed significance level...Ch. 7.3 - In a test of the hypothesis H0: = 50 versus H0: ...Ch. 7.3 - In a test of H0: = 100 against Ha: 100 the...Ch. 7.3 - In a test of the hypothesis H0: = 10 versus Ha: ...Ch. 7.3 - In a test of H0: = 100 against Ha: 100, the...Ch. 7.3 - In a test of H0: = 75 performed using the...Ch. 7.3 - An analyst tested the null hypothesis that 20...Ch. 7.4 - Consider the test H0: = 70 versus Ha: 70 using...Ch. 7.4 - Suppose you are interested in conducting the...Ch. 7.4 - A random sample of 100 observations from a...Ch. 7.4 - A random sample of 64 observations produced the...Ch. 7.4 - Use the applet Hypotheses Test for a Mean to...Ch. 7.4 - Use the applet Hypotheses Test for a Mean to...Ch. 7.4 - Use the applet Hypotheses Test for a Mean to...Ch. 7.4 - Corporate sustainability of CPA firms. Refer to...Ch. 7.4 - Packaging of a childrens health food. 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Under what...Ch. 7.5 - For each of the following rejection regions,...Ch. 7.5 - A random sample of n observations is selected from...Ch. 7.5 - A sample of five measurements, randomly selected...Ch. 7.5 - Suppose you conduct a 1-test for the null...Ch. 7.5 - Performance-based logistics. Refer to the Journal...Ch. 7.5 - Accidents at construction sites. In a study...Ch. 7.5 - Lobster trap placement. Refer to the Bulletin of...Ch. 7.5 - Radon exposure in Egyptian tombs. Refer to the...Ch. 7.5 - Performance of stock screeners. Recall, from...Ch. 7.5 - Oxygen bubble velocity in a purification process....Ch. 7.5 - Shopping vehicle and judgment. Refer to the...Ch. 7.5 - Minimizing tractor skidding distance. Refer to the...Ch. 7.5 - Crude oil biodegradation. Refer to the Journal of...Ch. 7.5 - Increasing hardness of polyester composites....Ch. 7.5 - Arsenic in smelters. The Occupational Safety and...Ch. 7.6 - Suppose a random sample of 100 observations from a...Ch. 7.6 - Suppose the sample in Exercise 7.64 has produced...Ch. 7.6 - A statistics student used a computer program to...Ch. 7.6 - Refer to Exercise 6.441 (p. 332), in which 50...Ch. 7.6 - For the binomial sample sizes and null...Ch. 7.6 - Use the applet Hypotheses Test for a Proportion to...Ch. 7.6 - Use the applet Hypotheses Test for a Proportion to...Ch. 7.6 - Customer participation in store loyalty card...Ch. 7.6 - Fraud survey of Asia-Pacific firms. The opinions...Ch. 7.6 - TV subscription streaming. Streaming of television...Ch. 7.6 - Gummi Bears: Red or yellow? Companies that produce...Ch. 7.6 - Toothpaste brands with the ADA seal. Consumer...Ch. 7.6 - Vacation-home owners. The National Association of...Ch. 7.6 - Organic-certified coffee. Coffee markets that...Ch. 7.6 - Dehorning of dairy calves. For safety reasons,...Ch. 7.6 - Effectiveness of skin cream. Ponds Age-Defying...Ch. 7.6 - Prob. 7.78ACICh. 7.6 - Prob. 7.79ACICh. 7.6 - Prob. 7.80ACACh. 7.6 - Prob. 7.81ACACh. 7.7 - Let X02 be a particular value of X2 Find the value...Ch. 7.7 - A random sample of n observations is selected from...Ch. 7.7 - A random sample of seven measurements gave x=9.4...Ch. 7.7 - Refer to Exercise 7.841. Suppose we had n = 100,...Ch. 7.7 - A random sample of n = 7 observations from a...Ch. 7.7 - Trading skills of institutional investors. Refer...Ch. 7.7 - Lobster trap placement. Refer to the Bulletin of...Ch. 7.7 - Prob. 7.89ACBCh. 7.7 - Oil content of fried sweet potato chips. Refer to...Ch. 7.7 - Strand bond performance of pre-stressed concrete....Ch. 7.7 - Drug content assessment. Refer to the Analytical...Ch. 7.7 - Jitter in a water power system. Refer to the...Ch. 7.7 - Cooling method for gas turbines. During periods of...Ch. 7.7 - Why do small firms export? The Journal of Small...Ch. 7.8 - a. List three factors that will increase the power...Ch. 7.8 - Prob. 7.97LMCh. 7.8 - Prob. 7.98LMCh. 7.8 - Prob. 7.99LMCh. 7.8 - Refer to Exercise 7.99. a. Find for each of the...Ch. 7.8 - Prob. 7.101LMCh. 7.8 - Prob. 7.102ACICh. 7.8 - Prob. 7.103ACICh. 7.8 - Prob. 7.104ACICh. 7.8 - Prob. 7.105ACICh. 7.8 - Prob. 7.106ACICh. 7.8 - Prob. 7.107ACICh. 7 - Specify the differences between a large-sample and...Ch. 7 - Complete the following statement; The smaller the...Ch. 7 - Which of the elements of a test of hypothesis can...Ch. 7 - If you select a very small value for when...Ch. 7 - If the rejection of the null hypothesis of a...Ch. 7 - A random sample of 20 observations selected from a...Ch. 7 - A random sample of 175 measurements possessed a...Ch. 7 - A random sample of n = 200 observations from a...Ch. 7 - A t-test is conducted for the null hypothesis H0 :...Ch. 7 - A random sample of 41 observations from a normal...Ch. 7 - Effectiveness of online courses. The Survey of...Ch. 7 - Prob. 7.119ACBCh. 7 - Latex allergy in health care workers. Refer to the...Ch. 7 - Latex allergy in health care workers (contd)....Ch. 7 - Made in the USA survey. Refer to the Journal of...Ch. 7 - Beta value of a stock. The beta coefficient of a...Ch. 7 - Accuracy of price scanners at Walmart. Refer to...Ch. 7 - Paying for music downloads. If you use the...Ch. 7 - Prob. 7.126ACBCh. 7 - Prob. 7.127ACBCh. 7 - Prob. 7.128ACICh. 7 - Prob. 7.129ACICh. 7 - Drivers use of the Lincoln Tunnel. The Lincoln...Ch. 7 - Prob. 7.131ACICh. 7 - Prob. 7.132ACICh. 7 - Prob. 7.133ACICh. 7 - Prob. 7.134ACICh. 7 - Prob. 7.135ACICh. 7 - Prob. 7.136ACICh. 7 - Prob. 7.137ACICh. 7 - Prob. 7.138ACICh. 7 - Prob. 7.139ACICh. 7 - Prob. 7.140ACICh. 7 - Prob. 7.141ACICh. 7 - Prob. 7.142ACICh. 7 - Prob. 7.143ACICh. 7 - Ages of cable TV shoppers. Cable TVs Home Shopping...Ch. 7 - Factors that inhibit learning in marketing. What...Ch. 7 - Prob. 7.146ACACh. 7 - The hot tamale caper. Hot tamales are chewy,...
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