Two boats, the Prada (italy) and the Oracle (U.S.A.J, are competing for a spot i

Question

Two boats, the Prada (italy) and the Oracle (U.S.A.J, are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. Assume the population standard deviations are the same. At the 10 significance level, can we conclude that there is difference in their mean times? Assume the population variances are equal Time (minutes Boat Prada (taly) 129 125 11.0 133 112 114 116 123 142 113 Oadle USA) 141 141 142 174 158 167 16.1 133 134 136 10.8 19. 33. The variables of interest (x) in this problem are the two boats- Prada and Oracle. a. True b. False The problem involves: a. Comparing the proportions of two populations b. Comparing the variances of two populations c. Comparing means of two independent populations d. Comparing the means of two dependent samples e. None of the above 34. 35. What is the correct hypothesis setup for this problem? None of the above What is the sample mean for Prada (round to four decimals)? 36. 37. What is the sample mean for Oracle (round to four decimais)? Note: for questions #38 and #39, enter the data into the template in the order Prada then Oracle. (round to 4 decimals). Note: compute the The computed test statistic for the sample above is test statistic in the order of how the groups appear on the hypotheses. 38. 39. At the 0.10 significance level, what is the critical value for testing the null hypothesis? What is the p-value for the test? (round to 4 decimals) At the 0.10 significance level. what is the correct statistical conclusion? 40, 41 a. Reject the null hypothesis b. Fail to reject the null hypothesis c. Reject the alternate hypothesis d. Fail to reject the alternate hypothesis e. None of the above. The test is inconclusive 42 Based on the result of the statistical test above, which of the following would be the correct conclusio a. There is no difference in the average time of the two boats. b. There is a difference in the average time of the two boats-Prada is faster c. There is a difference in the average time of the two boats-Oracle is faster d. There is not enough data to make a conclusion. e None of the above

Explanation / Answer

33) (b) False. As variable of interest is the time taken by boats to complete the race.

34) (c) Comparing means of two independent population. As one polulation (boat) is of Italy and other is of USA

35) (c) as the correct hypothesis is the difference is mean time of Parada and Oracle

36) Mean = Sum of time taken by parada/number of times

= 121.7/10 = 12.1700

37) Mean = Sum of time taken by Oracle/number of times

=178.5/12 = 14.8750

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