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

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What is the observed value? What is the p-value? What is the rejection region?
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.
Transcribed Image 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.
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