1 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 neople who...

What is the observed value? What is the p-value? What is the rejection region?

Extracted text: 1 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 neople 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 a. At the 5% significance level, can you conclude that those who drink caffeine can run longer than those who do not? b. Are the samples independent or dependent? c. If independent, would using dependent samples have been better? Why or Why not? If depen- dent, explain why dependent samples were used.