# Statistics

Two Boats the Picadilly and the Orange are competing for a spot in the Cup races. They race over a part of the course SEVERAL TIMES. The sample times in minutes for the Picadilly are 12.9, 12.5, 11.0, 13.3, 11.2, 11.4, 11.6, 12.3, 14.2, and 11.3. The sample times for the Orange are, 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 sampling assuming unequal variances. The next table shows the resuklts of the 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 singel sample but is unfamiliar with the t test for independent means.

12.170 MEAN
1.056 SD
10 N
ORANGE
14.875 MEAN
2.208 SD
12 N

16 df
-2.7050 diff (PICA-ORANGE)
0.7196 s err of diff
0 hypoth diff

- 3.76 t
.0017 p value two tailed

-4.2304 C I 95% lower
-1.1796 C I 95% UPPER
1.5254 M.O.E

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1. the next table shows results of this independent t-test. At 0.05significant level can you conclude that there is a difference in their mean times? explain these results to a person who knows about t-test for a single sample but who is unfamiliar with the t-test for independent means

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