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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Chapter 7.4, Problem 7.44ACI
Solder-joint inspections. Current technology uses high-resolution X-rays and lasers for inspection of solder-joint defects on printed circuit boards (PCBs) (Global SMT & Packaging, April 2008). A particular manufacturer of laser-based inspection equipment claims that its product can inspect on average at least 10 solder joints per second when the joints are spaced .1 inch apart. The equipment was tested by a potential buyer on 48 different PCBs. In each case, the equipment was operated for exactly 1 second. The number of solder joints inspected on each run follows:
- a. The potential buyer wants to know whether the sample data refute the manufacturer’s claim. Specify the null and alternative hypotheses that the buyer should test.
- b. In the context of this exercise, what is a Type I error? A Type II error?
- c. Conduct the hypothesis test you described in part a and interpret the test’s results in the context of this exercise. Use α = .05.
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Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below.
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Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance.
(a) What is the level of significance?State the null and alternate hypotheses.
Ho: ?1 = ?2 = ?3; H1: Exactly two means are equal.Ho: ?1 = ?2 = ?3; H1: Not all the means are equal. Ho: ?1 = ?2 = ?3; H1:…
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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- Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.9 5.5 6.7 4.1 6.8 5.8 5.2 6.5 4.5 5.4 4.5 7.2 4.1 5.4 5.2 5.2 6.2 6.9 5.6 5.2 6.7 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 10% level of significance. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O H,: H1 = H, = Hzi H;: All three means are different. O H,: H1 = H2 = Hzi H;: Exactly two means are equal. O H,: H, = H2 = Hai H,: At least two…arrow_forwardWild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.6 5.5 6.9 4.5 6.6 5.5 5.4 6.5 4.3 5.4 4.6 7.9 4.7 5.6 5.8 5.9 6.6 6.3 5.6 5.6 6.9 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.) dfBET = dfW =…arrow_forwardWild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.7 5.4 6.8 4.1 6.3 5.4 5.0 6.7 4.4 5.4 4.3 7.3 4.6 5.5 5.3 5.7 6.5 6.7 5.2 5.3 6.8 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?1 = ?2 = ?3; H1: All three means are different.Ho: ?1 = ?2 = ?3; H1: Not all the means are equal. Ho: ?1 = ?2 = ?3;…arrow_forward
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