Stististical question
Other
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 |
