Based on information from the Federal Highway Administration web site, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume ? ≈ 650 miles. Suppose that a random sample of 41 vehicles owned by residents of Chicago showed that the average mileage driven last year was 13.2 thousand miles. Would this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance.
Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
(e) Interpret your conclusion in the context of the application.
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 1 images
- In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders High School Mean score on test Glenwood 77 264 Central City Lincoln High 91 303 70 170 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 79.3. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =arrow_forwardThe Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Compute a 5% trimmed mean for Upper Canyon and Lower Canyon. Round your answer to the nearest thousandth. Upper Canyon: Number of injuries per Landing Point Between North Canyon and Phantom Ranch 2 3 1 1 3 4 6 9 3 1 3 Lower Canyon: Number of injuries per Landing Point Between Bright Angel and Lava Falls 8 1 1 0 6 7 2 11 3 0 1 10 2 1 The 5% trimmed mean for Lower Canyon is 2.889 and for Upper Canyon is 3.500. The 5% trimmed mean for Lower Canyon is 2.364 and for Upper Canyon is 3.071. The 5% trimmed mean for Lower Canyon is 3.500 and for Upper Canyon is 2.889. The 5% trimmed mean for Lower Canyon is 3.000 and for Upper Canyon…arrow_forward1. Consider a sample with data values of 2.20; 1.98; 1.95; 2.27; 2.25; 2,24; 2.31 Compute the mean.arrow_forward
- It is considered quite common to have feet of unequal length. In a sample of 10 healthy college students the right-foot and left-foot lengths are given (in mm). Length in mm mean ss Left foot (xx) 268 274 258 259 256 256 264 263 269 270 263.7 6.3779132776932 Right foot (yy) 247 281 249 259 231 273 267 264 285 265 262.1 16.3737594949969 d=x−yd=x−y 21 -7 9 0 25 -17 -3 -1 -16 5 1.6 13.9459273226591 (a) Find the test statistic. (b) Test the claim at the 0.05 significance level. Positive critical value: Negative critical value: Is there sufficient data to support the claim?YesNoarrow_forwardThe U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 35 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. What is the value of the sample test statistic? (Round your answer to two decimal places.)=__ (c)Find the P-value of the test statistic. (Round your answer to four decimal places.)=__arrow_forwardIn a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean score on test Number of ninth graders Glenwood 76 272 Central City 93 325 Lincoln High 73 180 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 80.7 . Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place.mean of all ninth grader's scores =arrow_forward
- Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1783 people and found that 553 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.arrow_forwardAn environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy and that the distribution of the population of crows was Normally distributed. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm. B.A previous study of crows showed that the population standard deviation was at 2.6 ppm. What minimum sample size would be required to construct a 90 percent confidence interval to have a margin of error within 0.03?arrow_forwardThe Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, 2009). Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight-ounce servings with a standard deviation of s=101.9. Answer questions 8-10.arrow_forward
- A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?arrow_forwardWe want to know if there is a difference between the mean list price of a three bedroom home, μ3, and the mean list price of a four bedroom home, μ4. What is the alternative hypothesis?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