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Question: Humor in magazine ads. Industrial Marketing Management (1993) published the results of a study of humor in trade magazine advertisements. A sample of 665 ads were categorized according to nationality (U.S., British, or German) and industry (29 categories, ranging from accounting to travel). Then a panel of judges determined the degree of humor in each ad using a 5-point scale (where 1 = not at all humorous and 5 = very humorous). The data were analyzed using a 3 × 29 factorial ANOVA, where the factors were nationality (at three levels) and industry (at 29 levels). The results of the ANOVA are reported in the accompanying table.∗
(a) Using α = .05, interpret the ANOVA results. Comment on the order in which the ANOVA F-tests should be conducted and whether any of the tests should be ignored.
(b) According to the researchers, ‘‘British ads were more likely to be humorous than German or U.S. ads in the Graphics industry. German ads were least humorous in the Grocery and Mining industries, but funnier than U.S. ads in the Medical industry and funnier than British ads in the Packaging industry.'' Do these inferences agree or conflict with the conclusions reached in part a? Explain.
Is there a difference in preference? State appropriate hypotheses and carry out a matched pairs t test for these data.
Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preference.
Using this estimate, what is the probability that exactly 25 undergraduates in a random sample of 200 students will earn a college degree?
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the mean age at which men in the united states marry for the first time follows the normal distribution with a mean of
A share tipping service claims that its selections give an average return of 10% if held for 12 months. An investor wants to investigate this claim and records the returns of the last 20 shares that have met the 12 month period.
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Convert each of the following z intervals to x intervals.
the u.s. dairy industry wants to estimate the mean yearly milk consumption. a sample of 17 people reveals the mean
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Construct a 99% confidence interval for the mean d of the population paired differences, where a paired difference is equal to the time taken before.
1. The standard error of the mean can be calculated by dividing μ by the square root of the number of values in the distribution.
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