
Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to their students. A summary of the class sizes, class means, and standard deviations is given below:
Is there evidence, at an ?=0.01α=0.01 level of significance, to conclude that there is a difference in the two classes? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)(−∞,a) is expressed (-infty, a), an answer of the form (?,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,?)∪(?,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
to generate a solution
a solution
- Find the standard deviation for the following data set. 2, 2, 2, 5, 5, 6, 6, 8, 8, 9 A. 2.49 B. 2 C. 5 D. 6.21 Which is the correct answer?arrow_forwardthe mean (and standard deviation) snowfalss for two cities are noted below. Ottawa : Mean=98 inches per year, s=25 inches Bostone: mean= 44 inches per year, s=17 inches In 2018, ottawa recieve 119 inches of snowfall, while boston recored 62 inches. What city had a worse winter in 2018 relative to its average?arrow_forwardAccording to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?arrow_forward
- An Excel assignment counts for 0-10 points. The scores in a class of 12 students are recorded as follows:1 5 5 6 7 7 8 8 8 9 10 10 What is the deviation of the score 10 from the mean in 13a (recall that this involves a subtraction of the mean from the particular score)? I think I got answer but want to check.arrow_forwardThe following data represents the number of blogs that a sample of students state they follow. 12, 3, 10, 9, 0, 1, 8, 7, 3, 10, 19 Calculate the standard deviation.arrow_forwardStudents in a class were given a quiz. These were their scores: 7 8 10 9 8 8 4 6 7 8 9 8 6 8 5 What is the standard deviation for these students' quiz scores?arrow_forward
- If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5 miles per hour, what would the standardized score be for a pitch that is 97 miles per hour? O 0.4 4.0 1.4 O 1.0arrow_forwardMario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?arrow_forwardThe tourist bureau of the Caribbean Island survey a sample of 6 United States tourists as they left to return home. The tourist was asked how many days they spent on their visits. Their responses were as follows: 11,8,6,12,10,7 find the standard deviation of this sample of numbers.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





