# Stististical question

1.  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