Help needed with math problem?

Question

Two boats, the Prada (Italy) and the Oracle (U.S.A.), 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. At the .05 significance level, can we conclude that there is a difference in their mean times?

Boat Times (minutes)

Prada (Italy) 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3

Oracle (U.S.A.) 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 19.0

Answer 1

ANSWER: Yes! Conclusion is there is a statistically significant difference between the Prada (Italy) and Oracle (U.S.A.)

Why???

TESTS BETWEEN TWO MEANS, UNPOOLED T-TEST

Two-Sample T-Test and CI

Sample   N   Mean  StDev  SE Mean

1       10  12.17   1.06     0.33

2       12  14.88   2.21     0.64

Difference = mu (1) - mu (2)

Estimate for difference:  -2.70500

95% CI for difference:  (-4.23044, -1.17956)

T-Test of difference = 0 (vs not =): T-Value = -3.76  P-Value = 0.002  DF = 16