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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, Problem 7.108LM
Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.
Expert Solution
![Check Mark](/static/check-mark.png)
To determine
To explain: The difference between the large samples and small samples for the hypothesis about a population mean.
Explanation of Solution
The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.
- For a large sample, the test statistic is the z-statistic.
- For a small sample, the test statistic is the t statistic.
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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. Can...Ch. 7.4 - Stability of compounds in new drugs. Refer to the...Ch. 7.4 - Facial structure of CEOs. Refer to the...Ch. 7.4 - Trading skills of institutional investors. The...Ch. 7.4 - Producers and consumers risk. In quality-control...Ch. 7.4 - Unethical corporate conduct. Refer to the...Ch. 7.4 - Time required to complete a task. When a person is...Ch. 7.4 - Tipping points in daily deal transactions. Refer...Ch. 7.4 - Point spreads of NFL games. During the National...Ch. 7.4 - Revenue for a full-service funeral. According to...Ch. 7.4 - Buy-side vs. sell-side analysts earnings...Ch. 7.4 - Solder-joint inspections. Current technology uses...Ch. 7.4 - Prob. 7.45ACACh. 7.4 - Salaries of postgraduates. The Economics of...Ch. 7.5 - a. Consider testing H0: = 80. 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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