#### (Solved): 4 Of 10 ID: MST.HT.TM.02.0060b [6 Points) The Local Public Transport Authority Is Conducting Researc ...  4 of 10 ID: MST.HT.TM.02.0060b [6 points) The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean commuter time was 45 minutes with a standard deviation of 8.4 minutes. After some recent infrastructure upgrades and a new train timetable, the transport authority would like to test whether average commuter time has decreased. A random sample of 50 commuter times has been collected. Download the data Commuting times (minutes) 45.1 41.4 40.1 21.5 38.6 39.7 42.1 58 48.8 60.2 32.3 51 44.7 38.6 44.9 49.7 34.2 33.2 34.4 50.6 53 43.8 53.4 31.5 39.5 30.8 46.2 43 55.3 39.1 45.7 46.5 46 41.9 42.9 48.5 42.7 47.7 48.9 39.4 37.1 27.3 44 26.3 41 52.1 31.1 52.1 36 45.4 Conduct a hypothesis test to test whether the new changes have decreased mean commuter time. a) From the following options, select the correct null and alternate hypotheses for this test: A: H? H = 45, Ha: A < 45 B: H?: A = 45, H, 14 4 45 C: H: 4 = 45, H, 1245 D: Hou > 45, H 45 The correct null and alternate hypotheses for this tost are: b) Calculate the test statistic. Give your answer to 2 decimal places c) Calculate the p-value for the test. Give your answer to 4 decimal places Pake- d) Therefore, at a significance level of 0.05 the null hypothesis is e) Ata significance level of 0.05, from the result of the test you can conclude that there is to conclude that the Conduct a hypothesis test to test whether the new changes have decreased mean commuter time. a) From the following options, select the correct null and alternate hypotheses for this test: | A: H?: A = 45, H. < 45 B: H?: H = 45, H?: H = 45 C: H?: A = 45, Ha: H > 45 D: H?: A > 45, Ha H = 45 The correct null and alternate hypotheses for this test are: 0 b) Calculate the test statistic. Give your answer to 2 decimal places. c) Calculate the p-value for the test. Give your answer to 4 decimal places. P-value = d) Therefore, at a significance level of 0.05 the null hypothesis is e) At a significance level of 0.05, from the result of the test you can conclude that there is: to conclude that the

#### Expert Answer

a) Hypothesis:- Option (A) is correct. i.e. Ho: = 45 Ha: < 45 b) Test Statistics:- The test statisti
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