Performing a One-Way ANOVA Test In Exercises 5β14, (a) identify the claim and state H0 and Ha. (b) find the critical value and identify the rejection region, (c) find the test statistic F, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are
11. Well-Being Index The well-being index is a way to measure how people are faring physically, emotionally, socially, and professionally, as well as to rate the overall quality of their lives and their outlooks for the future. The table shows the well-being index scores for a sample of states from four regions of the United States. At a = 0.10, can you reject the claim that the mean score is the same for all regions? (Adapted from Gallup and Healthways)
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Elementary Statistics: Picturing the World (7th Edition)
- Testing Claims About Variation. In Exercises 5β16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Pulse Rates of Women Repeat the preceding exercise using the pulse rates of women listed in Data Set 1 βBody Dataβ in Appendix B. For the sample of pulse rates of women, n = 147 and s = 12.5. See the accompanying JMP display that results from using the original list of pulse rates instead of the summary statistics. (Hint: The bottom three rows of the display provide P -values for a two-tailed test, a left-tailed test, and a right-tailed test, respectively.) What do the results indicate about the effectiveness of using the range rule of thumb with the βnormal rangeβ from 60 to 100 beats per minute for estimatingβ¦arrow_forwardTesting Claims About Variation. In Exercises 5β16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Aircraft Altimeters The Skytek Avionics company uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in the errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action?arrow_forwardTesting Hypotheses. In Exercises 13β24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Car Booster Seats The National Highway Traffic Safety Administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?arrow_forward
- Large Data Sets from Appendix B. In Exercises 17 and 18, use the data set from Appendix B to test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Mint Specs Repeat Exercise 16 using the weights of the 37 post-1983 pennies included in Data Set 29 βCoin Weightsβ in Appendix B.arrow_forwardFinding Critical Values and Confidence Intervals. In Exercises 5β8, use the given information to find the number of degrees of freedom, the critical values Ο2LΒ and X2R, and the confidence interval estimate of Ο. The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in Menthol Cigarettes 95% confidence; n = 25, s = 0.24 mg White Blood Cell Counts of Men 95% confidence; n = 153, s = 1.86. Platelet Counts of Women 99% confidence; n = 147, s = 65.4. Heights of Men 99% confidence; n = 153, s = 7.10 cmarrow_forwardTesting Claims About Variation. In Exercises 5β16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Mint Specs Listed below are weights (grams) from a simple random sample of βwheatβ pennies (from Data Set 29 βCoin Weightsβ in Appendix B). U.S. Mint specifications now require a standard deviation of 0.0230 g for weights of pennies. Use a 0.01 significance level to test the claim that wheat pennies are manufactured so that their weights have a standard deviation equal to 0.0230 g. Does the Mint specification appear to be met?arrow_forward
- Testing Hypotheses. In Exercises 13β24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Heights of Supermodels Listed below are the heights (cm) for the simple random sample of female supermodels Lima, Bundchen, Ambrosio, Ebanks, Iman, Rubik, Kurkova, Kerr, Kroes, Swanepoel, Prinsloo, Hosk, Kloss, Robinson, Heatherton, and Refaeli. Use a 0.01 significance level to test the claim that supermodels have heights with a mean that is greater than the mean height of 162 cm for women in the general population. Given that there are only 16 heights represented, can we really conclude that supermodels are taller than the typical woman?arrow_forwardTesting Claims About Variation. In Exercises 5β16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Coffee Vending Machines The Brazil vending machine dispenses coffee, and a random sample of 27 filled cups have contents with a mean of 7.14 oz and a standard deviation of 0.17 oz. Use a 0.05 significance level to test the claim that the machine dispenses amounts with a standard deviation greater than the standard deviation of 0.15 oz specified in the machine design.arrow_forwardTEST OF HYPOTHESIS ON TWO POPULATION MEAN With the generated sample using Simple Random Sampling, test for the hypothesis that the weight of femaleΒ ACC 215 students is less than that of males on the average, at 1o% level of significance. Weight of Students (Kg)Male: 35 45 33 55 46 47 45 45 58Female: 45 45 34 36 37 38 Ho:Ha:Ξ± =Decision Rule:Computation:Decision:Conclusion:arrow_forward
- Testing Claims About Variation. In Exercises 5β16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Birth Weights A simple random sample of birth weights of 30 girls has a standard deviation of 829.5 hg. Use a 0.01 significance level to test the claim that birth weights of girls have the same standard deviation as birth weights of boys, which is 660.2 hg (based on Data Set 4 βBirthsβ in Appendix B).arrow_forwardTesting Claims About Proportions. In Exercises 7β22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.Β Does Aspirin Prevent Heart Disease? In a trial designed to test the effectiveness of aspirin in preventing heart disease, 11,037 male physicians were treated with aspirin and 11,034 male physicians were given placebos. Among the subjects in the aspirin treatment group, 139 experienced myocardial infarctions (heart attacks). Among the subjects given placebos, 239 experienced myocardial infarctions (based on data from βFinal Report on the Aspirin Component of the Ongoing Physiciansβ Health Study,β New England Journal of Medicine , Vol. 321: 129β135). Use a 0.05 significance level to test the claim that aspirin has no effect on myocardial infarctions. a. Test the claim using a hypothesis test. b.β¦arrow_forwardTest the claim about tge population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim:u >1160; a=0.05; o=199.25. Sample statistics: x=1176.59, n=250. Identify the null and alternative hypothesis and find i) the standardized test statistic, ii) determine the P-value, and iii) determine tge outcome and conclusion of the test.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning