Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 11.4, Problem 15SE
In a one-factor ANOVA with n1 = 6, n2 = 4, and n3 = 5, the sample variances were
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445 gram setting. Based on a 29 bag sample where the mean is 438 grams and the variance is 676, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.
Step 1 of 5 :
State the null and alternative hypotheses.
Two samples, sample one of size 16 and sample two of size 10, respectively, are drawn at random from two populations that are normally distributed. If their variances are found to be 24 and 18, respectively, find:i. 98% confidence interval for the ratio of the variances.ii. 90% confidence interval for the ratio of the variances.
If the mean and variance are computed for each sample in an independent-measures two-factor experiment, then which types of sample data will tend to produce large F-ratios for the two-factor ANOVA?
a. large differences between sample means and small sample variances
b. large differences between sample means and large sample variances
c. small differences between sample means and small sample variances
d. small differences between sample means and large sample variances
Chapter 11 Solutions
Applied Statistics in Business and Economics
Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 5, n2...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 8, n2...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Prob. 8SECh. 11.3 - Consider a one-factor ANOVA with n1 = 9, n2 = 10,...Ch. 11.3 - Consider a one-factor ANOVA with n1 = 6, n2 = 5,...
Ch. 11.3 - Instructions for Exercises 11.11 through 11.14:...Ch. 11.3 - Prob. 12SECh. 11.3 - Prob. 13SECh. 11.3 - Prob. 14SECh. 11.4 - In a one-factor ANOVA with n1 = 6, n2 = 4, and n3...Ch. 11.4 - Prob. 16SECh. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Prob. 27SECh. 11.6 - Prob. 28SECh. 11 - Explain each term: (a) explained variation; (b)...Ch. 11 - (a) Explain the difference between one-factor and...Ch. 11 - (a) State three assumptions of ANOVA. (b) What do...Ch. 11 - (a) Sketch the format of a one-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - Prob. 7CRCh. 11 - (a) What does a test for homogeneity of variances...Ch. 11 - What is the general linear model and why is it...Ch. 11 - (a) What is a 2k design, and what are its...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - In a market research study, members of a consumer...Ch. 11 - Prob. 47CECh. 11 - (a) What kind of ANOVA is this (one-factor,...Ch. 11 - Here is an Excel ANOVA table for an experiment to...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Air pollution (micrograms of particulate per ml of...Ch. 11 - A company has several suppliers of office...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Are large companies more profitable per dollar of...
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- In 2000, relative frequency distribution of violent crimes: Murder: 0.011 Rape: 0.063 Robbery: 0.286 Agg Assault: 0.640 Total: 1.00 A simple random sample of 500 violent crime reports last year yielded: Murder: 3 Rape: 37 Robbery: 154 Agg Assault: 306 Total: 500 Using a X2 goodness of fit test, at the 5% significance level, do the data provide sufficient evidence that last year's violent crime distribution was different than the year 2000?arrow_forwardConsider the following data obtained for two samples selected at random from twopopulations that are independent and normally distributed with equal variances.Sample I Sample II32 2726 3531 3320 4027 3834 31Test at the 1% significance level whether the means of the populations from whichthese samples are drawn are equal.arrow_forwardA juice factory buys apple concentrate from two different suppliers. The mean concentration is the same for both suppliers, but it is suspected that the variability of the concentration could be different for the two suppliers. The standard deviation of the concentration in a random sample of n1 = 12 lots produced by Supplier 1 is s1 = 6.4 g / L, and for Supplier 2, n2 = s2 = 4.8 g / L in a random sample of 12 lots. Is there sufficient evidence to conclude that the variance of the two populations is different by calculating the appropriate test statistic? (α = 0.05)arrow_forward
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