A researcher is testing a new painkiller that claims to relieve pain in less than 15 minutes, on average. a. State the hypotheses associated with the researcher's test. b. Describe a Type I error for this situation. c. Describe a Type II error for this situation.

a. H0 : U ≥ 15

   Ha : U < 15

b. Type I error is incorrectly conclude that the pain is reduced in less than 15 minutes.

c. Type II error is fail to conclude that time for pain reduction is less than 15 mints when actually its less than 15 minutes.

Explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis.

Type I error is one in which we reject a true null hypothesis.

Type II error is one in which we fail to reject the null hypothesis that is actually false.

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