WEEK FOUR PRACTICE WORKSHEET2Week Four Practice Worksheet1.Two boats, the Prada (Italy) and the Oracle (USA), are competing for a spot in the upcoming America’s Cup race. They race over a part of the course several times. The sample times in minutes for the Prada were as follows: 12.9, 12.5, 11.0, 13.3, 11.2, 11.4, 11.6, 12.3, 14.2, and 11.3. The sample times in minutes for the Oracle were as follows: 14.1, 14.1, 14.2, 17.4, 15.8, 16.7, 16.1, 13.3, 13.4, 13.6, 10.8, and 19.0. For data analysis, the appropriate test is the t test: two-sample
Hypothesis Test: Independent Groups (t test, unequal variance)PradaOracle12.170 14.875 mean1.056 2.208 std. dev.1012n16df-2.7050 difference (Prada - Oracle)0.7196 standard error of difference0hypothesized difference-3.76t.0017p-value (two-tailed)-4.2304 confidence interval 95% lower-1.1796 confidence interval 95% upper1.5254 margin of errorThe previous table shows the results of this independent t test. At the .05 significance level, can you conclude that there is a difference in their mean times? Explain these results to a person who knows about the ttest for a single sample but who is unfamiliar with the ttest for independent means.