Question

In: Statistics and Probability

There is a theory that people who drink caffeine can run longer than those who do...

There is a theory that people who drink caffeine can run longer than those who do not. To test this theory a random sample of seven people who drink caffeine and a random sample of seven people who do not drink caffeine was obtained and their length of time they could run non-stop was measured, in seconds.

non caffeine drinkers 359 280 138 227 203 184 231
caffeine drinkers 394 477 439 428 391 488 454

At the 5% significance level, can you conclude that those who drink caffeine can run longer than those who do not?

are the samples independent or dependent?

if independent, would using dependent samples have been better? why or why not? if dependent, explain why dependent samples were used.

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