Sets Assignment 2: Problem 8 nt 2 (1 point) 8 gs Ken and Billy both live in the same neighborhood, and work at the university. Ken drives to work, Billy rides his bicycle. You - a budding statistician - have been asked to settle an argument. Ken believes that more often than not, his commuting time via his drive is less than Billy's. Billy believes that this is not so, due to blems traffic volume and traffic lights. Over the period of one month, the statistician randomly selects eight days for Ken and eight days for Billy. On each day, they will be asked to measure, to the nearest tenth of a minute, the amount of time it takes them to get from their home to the university campus. The commuting times are given on each randomly chosen day, for each person. Ken: 11.6, 9.2, 7, 8.2, 6.6, 0.6, 2.7, 20.9; Billy: 19, 19.1, 22, 20, 19, 19.6, 18.5, 18.8; Download .csv file Carry out a statistical test, the results of which will be used to settle Ken and Billy's argument. (a) Using the technology available to you, visually and statistically inspect this data. From this, construct the most appropriate statistical hypotheses. O A. HO : HD = 0 HA : MD # 0 B. Ho : MKen = / Billy HA : HKen # H Billy C. Ho : HKen = MBilly HA : HKen Billy O E. Ho : AKen = /Billy HA : MKen # I Billy OF. HO : MD = 0 HA : HD / Billy OH. Ho : PKen = /Billy HA : HKen O (b) Find the value of the test statistic for this test, use at least one decimal in your answer. Test Statistic = (c) Determine the P-value of your statistical test in part (c), and report it to at least three decimal places. P = (d) At a = 0.05, this data indicates that you will ? the null hypothesis. You can tell Ken that his commute time is ? Billy's. Preview My Answers Submit AnswersAssignment 2: Problem 9 (1 point) In a test of two population means - M1 versus /2 - with unknown variances of and o2, two independent samples of n1 = 8 and n2 = 10 were taken. The data is given below. Both populations are normally + distributed. Sample From Population 1: 7, 18, 18, 17, 16, 12, 30, 10; Sample From Population 2: 17, 20, 11, 17, 17, 15, 22, 18, 16, 19 ; Download .csv file (a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses. O A. Ho : 01 7 02 HA : 01 - 02 O B. Ho : $2 = $3 HA : S, + S2 O C. Ho : 07 = 03 HA : 01 > 02 O D. Ho : 07 = 07 HA : 07 7 07 O E. HO : 2 =03 HA : 02 MBob O F. Ho : HLen - MBob = 8.5 HA : MLen - HBob > 8.5 (b) (i) Using technology available to you, test to see if the variances are equal or not? A. There appears to be more variation in Bobs sales than in the Lens. B. They appear to be equal. O C. There appears to be more variation in Lens sales than in the Bobs. (b) (ii)Report the p-value of the test you ran in (b)(i) use at least three decimals in your answer. P-value = (c) Test the statistical hypotheses in (a) by carrying out the appropriate statistical test. Find the value of the test statistic for this test, use at least two decimals in your answer. Value of the test statistic = (d) Determine the P-value for the difference of means test, and report it to at least three decimal places. P = (e) Determine the appropriate degrees of freedom for this test, and report it to at least three decimal places. DF = (f) Based on the above calculations, we should ? the null hypothesis. Preview My Answers Submit Answers