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(Step-by-Step) 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

Question: 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: 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: 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 Assuming Unequal Variances.

The next table shows the results of this independent t-test. At the .05 significance level, can we conclude that there is a difference in their mean times? Explain these results to a person who knows about the t test for a single sample but is unfamiliar with the t test for independent means.

Hypothesis Test: Independent Groups (t-test, unequal variance)
Prada Oracle
12.170 14.875 mean
1.056 2.208 std. dev.
10 12 n
16 df
-2.7050 difference (Prada - Oracle)
0.7196 standard error of difference
0 hypothesized difference
-3.76 t
.0017 p-value (two-tailed)
-4.2304 confidence interval 95.% lower
-1.1796 confidence interval 95.% upper
1.5254 margin of error

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Deliverable: Word Document


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