Concept explainers
Exercises 1 to 4 describe experiments that require a hypothesis test. For each experiment, describe the appropriate test. State the appropriate null and alternate hypotheses, describe the test statistic, and specify which table should be used to find the P-value. If relevant, state the number of degrees of freedom for the test statistic.
2. A group of 15 swimmers is chosen to participate in an experiment to see if a new breathing style will improve their stamina. Each swimmer’s pulse recovery rate is measured after a 20 minute workout using the old breathing style. The swimmers practice the new style for two weeks, and then measure their pulse recovery rates after a 20 minute workout using the new style. They will continue to use the new breathing style if it is shown to reduce pulse recovery time.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Statistics for Engineers and Scientists
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Stats: Modeling the World Nasta Edition Grades 9-12
Essential Statistics
Elementary Statistics (Text Only)
The Practice of Statistics for AP - 4th Edition
- In each of Exercises, use the Mann–Whitney test to perform the required hypothesis testSAT Essay Scores. The SAT is a standardized test required for most college admissions in the United States. It is owned, published, and developed by the College Board and results are reported in College-Bound Seniors Total Group Prole Report. In 2006, an essay section with possible scores ranging from 2 to 12 was added to the test. The following essay scores are from samples of students who took their SAT during either their freshman or senior year. Freshman Senior 8 8 8 6 6 8 6 7 9 9 4 9 6 8 5 10 8 6 5 8 At the 1% significance level, is there sufficient evidence to conclude that the median SAT essay score is lower for students who take the SAT during their freshman year than for those who take it during their senior year?arrow_forwardA sports enthusiast would like to determine if the average number of penalty minutes per game for teams in the National Hockey League is greater than 12 minutes. A sample of 30 games was taken, and the number of penalty minutes in each game was recorded. Select the appropriate hypotheses to be tested. Ho:μ=12Ho:μ=12Ha:μ>12Ha:μ>12 Ho:μ=12Ho:μ=12Ha:μ≠12Ha:μ≠12 Ho:¯y=12Ho:y¯=12Ha:¯y≠12Ha:y¯≠12 Ho:¯y=12Ho:y¯=12Ha:¯y>12arrow_forwardYou are given the following hypotheses H 0 :p=0.3 H A :p not equal 0.3 We know that the sample size 90. For what sample proportion would the pvalue be equal to 0.1? Assume that all conditions necessary for Inference are satisfied.arrow_forward
- test the hypothesis by using the given information.arrow_forwardGiven that the P-value for the hypothesis test is 0.501, what do you conclude? Does it appear that the heights were obtained through measurement or that the subjects reported their heights?arrow_forwardUse the 7 steps in Hypothesis Testing in answering the problems below.arrow_forward
- A student does a survey to see if the average GPAs of male and female undergraduates at her university are different.a) What kind of hypotheisis test should she plan to use to answer her question? Which hypotheses do we want to test?arrow_forwardA dental assistant is interested in the proportion of patients that need a root canal. Let the proportion of patients that need a root canal be p. If the dental assistant wanted to know if the proportion of patients that need a root canal is more than 20%, what are the null and alternative hypotheses? Select the correct answer below: H0: p=0.20; Ha: p<0.20 H0: p>0.20; Ha: p=0.20 H0: p=0.20; Ha: p>0.20 H0: μ=0.20; Ha: μ>0.20arrow_forwardUse the five steps in the hypothesis testing procedure for each answer. 1 ) A national publishing house claims that 45% of all weekly magazine readers in South Africa read their publication. Test this claim at the 5% significance level, if a survey found that 205 out of a random sample of 500 magazine readers said that they read the relevant publication.arrow_forward
- Answer the following using the 5-step hypothesis testing procedure: A television channel claims that 40% of the population who watch TV patronize their TV channel. After collecting 70 samples, they found that 30 of them watch the said TV channel. Use ɑ=0.01 to test their claim.arrow_forwardA research reports describing the results from a repeated measures T test states:t (22) = 1.71, p< .05. For this report, what was the outcome of the hypothesis test?arrow_forwardname the appropriate inference procedure, and write the hypotheses. DO NOT ACTUALLY WORK OUT THESE FIRST 4 PROBLEMS. there are 2 bacteria this chart applies to both Specimen 1 2 3 4 5 6 7 8 Method A 22.7 23.6 24.0 27.1 27.4 27.8 34.4 35.2 B 23.0 23.1 23.7 26.5 26.6 27.1 33.2 35.0 Bacteria 1 Investigators at the U.S. Department of Agriculture wished to compare methods of determining the level of bacterial contamination in beef. Two different methods (A and B) of determining the level of contamination were used on each of eight randomly selected specimens of a certain type of beef. The data obtained, in millimicrobes/liter of ground beef, for each of the methods are shown in the table below. Bacteria 2 Investigators at the U.S. Department of Agriculture wished to compare methods of determining the level of bacterial contamination in beef. Two different methods (A and B) of determining the level of contamination were tested. Sixteen randomly selected specimens of a certain type…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman