Concept explainers
If the null hypothesis is rejected in Exercises 1 through 8, use the Scheffé test when the sample sizes are unequal to test the differences between the means, and use the Tukey test when the sample sizes are equal. For these exercises, perform these steps. Assume the assumptions have been met.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
6. Temperatures in January The average January high temperatures (in degrees Fahrenheit) for selected tourist cities on different continents are listed. Is there sufficient evidence to conclude a difference in mean temperatures for the three areas? Use the 0.05 level of significance
Europe | Central and South America | Asia |
41 | 87 | 89 |
38 | 75 | 35 |
36 | 66 | 83 |
56 | 84 | 67 |
50 | 75 | 48 |
Source: Time Almanac.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Elementary Statistics: A Step By Step Approach
- In each of Exercises, we have provided a null hypothesis and alternative hypothesis and a sample from the population under consideration. In each case, use theWilcoxon signed-rank test to perform the required hypothesis test at the 10% significance level. H0: µ = 10, Ha: µ<10 7 6 5 12 15 14 13 4arrow_forwardIn each of Exercises, we have provided a null hypothesis and alternative hypothesis and a sample from the population under consideration. In each case, use theWilcoxon signed-rank test to perform the required hypothesis test at the 10% significance level. H0: µ = 5, Ha: µ > 5 12 7 11 9 3 2 8 6arrow_forwardAfter running a hypothesis test comparing the number of jelly beans that a sample of children eat over the course of the year with the number of jelly beans children eat in the overall population over the course of the year, I conclude that the sample of children ate significantly more jelly beans than the overall population of children. If the sample of children actually ate the same number of jelly beans as the overall population, my conclusion is an example of _______. a. sampling error b. a Type II error c. a Type I error d. a valid conclusionarrow_forward
- A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…arrow_forwardFor a one-sample test for a population proportion pp and sample size nn, why is it necessary that np0np0 and n(1−p0)n(1−p0) are both at least 10 ? A)The sample size must be large enough to support an assumption that the distribution of the population is approximately normal. B)The sample size must be large enough to support an assumption that the distribution of the sample is approximately normal. C)The sample size must be large enough to support an assumption that the sampling distribution of the sample proportion is approximately normal. D)The sample size must be large enough to support an assumption that the observations are independent. E)The sample size must be large enough to support an assumption that the sample proportion is an unbiased estimator of the population proportion.arrow_forwardAre the requirements met to test a hypothesis for the following two population proportions? If not, state which requirement is not met, and show whyit fails. In a random sample of 100car owners, 85% said they were happy with the fuel economy of their car. In a random sample of 80truck owners, 4% said they were happy with the fuel economy of their truck.arrow_forward
- Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1= 971 n2=n2= 707 ¯x1=375 ¯x2=448 s1=150 s2= 179 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for α=0.01α=0.01.H0H0: μ1=μ2HaHa: μ1>μ2 Given the alternative hypothesis, the test is Determine the test statistic. Round to four decimal places.t=t= Find the pp-value. Round to 4 decimals.pp-value = Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis.arrow_forwardUsing the data in the Excel file consumer Transportation Survey, test the following null hypotheses: Individuals drive an average of 600 miles per week. Vehicle Driven Miles driven per week Truck 450 Truck 370 Truck 580 Truck 300 SUV 1000 SUV 840 SUV 1400 SUV 300 SUV 850 SUV 700 SUV 350 SUV 1500 SUV 280 SUV 400 SUV 420 SUV 675 SUV 800 SUV 300 SUV 400 Mini Van 400 Mini Van 700 Mini Van 720 Mini Van 450 Mini Van 1000 Mini Van 350 Mini Van 800 Mini Van 200 Mini Van 350 Car 150 Car 175 Car 355 Car 150 Car 600 Car 600 Car 300 Car 275 Car 285 Car 400 Car 350 Car 600 Car 700 Car 600 Car 400 Car 350 Car 250 Car 355 Car 175 Car 300 Car 350 Car 500arrow_forwardYou are working for the South Tahoe Tourist Bureau and are interested in determining if there is a relationship between the casino people frequent and the type of gambling that they do at the casino Table Games Slots Sports Harrah’s 50 60 12 Hard Rock 18 22 6 MontBleu 33 29 20 Harvey’s 41 39 20 a. State the null and alternative hypotheses. b. State which hypothesis test should be used. Calculate the p-Value and state the command you entered in the calculator. c. State the conclusion in the context of the problem.arrow_forward
- AND THE P VALUE FOR THE TEST HYPOTHESISarrow_forwardGiven the following null and alternative hypotheses H0: µ1 - µ2 = 0 HA: µ1 - µ2 ≠ 0 and the following sample information Sample 1 Sample 2 n1 = 125 n2 = 120 s1 = 31 s2 = 38 x1 = 130 x2 = 105 Develop the appropriate decision rule, assuming a significance level of 0.05 is to be used. Test the null hypothesis and indicate whether the sample information leads you to reject or fail to reject the null hypothesis. Use the test statistic approach.arrow_forwardIf all other factors are held constant, which of the following results in a decrease in the probability of a Type IIII error? The true parameter is closer to the value of the null hypothesis. A The sample size is decreased. B The significance level is decreased. C The standard error is decreased. D The probability of a Type IIII error cannot be decreased, only increased.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