Assignment: Worksheet: Psych Stats
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Do this worksheet by Thursday May 11. ORIGINAL WORK ONLY. APA Format.
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 as follows: 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 as follows: 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 you 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 who 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 | ||||||
| Hypothesis Test: Independent Groups (t test, unequal variance) | ||||||
| Peach Street | Plum Street | |||||
| 15.8680 | 18.2921 | mean | ||||
| 2.3306 | 2.5527 | std. dev. | ||||
| 10 | 14 | n | ||||
| 20 | df | |||||
| -2.42414 | difference (Peach Street – Plum Street) | |||||
| 1.00431 | standard error of difference | |||||
| 0 | hypothesized difference | |||||
| -2.41 | t | |||||
| .0255 | p-value (two-tailed) | |||||
| -5.28173 | confidence interval 99.% lower | |||||
| 0.43345 | confidence interval 99.% upper | |||||
| 2.85759 | margin of error | |||||
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