Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.Entertainment Expenditures. The Bureau of Labor Statistics conducts surveys on consumer expenditures for various types of entertainment and publishes its findings in Consumer Expenditure Survey. Independent random samples yielded the following data, in dollars, on last year’s expenditures for three entertainment categories. Fees and admissions TV, radio and sound equipment Other equipment and services 303 230 130 242 1878 381.000 152 526 1423 625 130 161 241 600 205 1333 130 1154 739 692 1759 430 232 1368 At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in last year’s mean expenditures among the three entertainment categories?

Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.Entertainment Expenditures. The Bureau of Labor Statistics conducts surveys on consumer expenditures for various types of entertainment and publishes its findings in Consumer Expenditure Survey. Independent random samples yielded the following data, in dollars, on last year’s expenditures for three entertainment categories. Fees and admissions TV, radio and sound equipment Other equipment and services 303 230 130 242 1878 381.000 152 526 1423 625 130 161 241 600 205 1333 130 1154 739 692 1759 430 232 1368 At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in last year’s mean expenditures among the three entertainment categories?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is a sample space?
What is meant by the sample space of an experiment?
Applying the Concepts and SkillsIn Exercises, perform a Kruskal–Wallis test by using either the critical-value approach or the P-value approach.TV-Commercial Placement. In the article “Violence and Sex Impair Memory for Television Ads” (Journal of Applied Psychology, Vol. 87, No. 3, pp. 557–564), B. Bushman and A. Bonacci studied whether the type of television program in which commercials are placed affects a viewer’s ability to remember the product. Participants watched a violent, sexually explicit, or neutral TV program that contained nine advertisements. The next day, participants were asked to recall the advertised brands. The number of brands the participants were able to recall are presented in the following table. Violent Sexually explict Neutral 0 0 4 0 2 1.000 2 2 2 1 2 3 1 0 2 0 1 7 At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the median number of advertised brands a viewer is able to recall…
In Exercises, use either the critical-value approach or the P-value approach to perform the required hypothesis test. Body Mass Index. Body mass index (BMI) is a measure of body fat based on height and weight. According to the document Dietary Guidelines for Americans, published by the U.S. Department of Agriculture and the U.S. Department of Health and Human Services, for adults, a BMI of greater than 25 indicates an above healthy weight (i.e., overweight or obese). Of 750 randomly selected adults whose highest degree is a bachelor’s, 386 have an above healthy weight; and of 500 randomly selected adults with a graduate degree, 237 have an above healthy weight. a. What assumptions are required for using the two-proportions z-test here?b. Apply the two-proportions z-test to determine, at the 5% significance level, whether the percentage of adults who have an above healthy weight is greater for those whose highest degree is a bachelor’s than for those with a graduate degree.
What is the one-sample t-test commonly called or known as? a) estimated t-test b) approximate z-test c) estimated z-test d) new t-test
A consumer group complains that the gas tax (in cents per gallon) levied by thefederal, state, and local governments is too high. The following data give the gas tax(in cents per gallon) in 16 metropolitan areas around the country:53 42 42 52 58 42 58 3847 43 59 45 42 49 47 47Assuming normality, test at the 5% level of significance the hypothesis H0: μ =50 versus H1: μ > 50.
In Exercises, use either the critical-value approach or the P-value approach to perform the required hypothesis test. Ballistic Fingerprinting. Guns make unique markings on bullets they fire and their shell casings. These markings are called ballistic ngerprints. An ABCNEWS Poll examined the opinions of Americans on the enactment of a law “. . . that would require every gun sold in the United States to be test-red first, so law enforcement would have its fingerprint in case it were ever used in a crime.” The following problem is based on the results of that poll. Independent simple random samples were taken of 537 women and 495 men. When asked whether they support a ballistic fingerprinting law, 446 of the women and 307 of the men said “yes.” At the 1% significance level, do the data provide sufficient evidence to conclude that women tend to favor ballistic fingerprinting more than men?
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A company claims that its packages of 100 candies are distributed with the following color percentages: 14% red, 20% orange, 16% yellow, 6% brown, 26% blue, and 18% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.01 significance level. What is the test statistic? What is the p-value? Candy Counts Color Number in Package Red 13 Orange 25 Yellow 9 Brown 7 Blue 27 Green 19 Chi-square: Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348…

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Fees and admissions	TV, radio and sound equipment	Other equipment and services
303	230	130
242	1878	381.000
152	526	1423
625	130	161
241	600	205
1333	130	1154
739	692	1759
430		232
		1368