2. A company claims that its medicine (Brand A) provides faster relief from pain than its competitor (Brand B). To test

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2 A Company Claims That Its Medicine Brand A Provides Faster Relief From Pain Than Its Competitor Brand B To Test 1 (106.24 KiB) Viewed 31 times

2. A company claims that its medicine (Brand A) provides faster relief from pain than its competitor (Brand B). To test this claim, Brand A was given to a random sample of n₁ = 20 patients and Brand B was given to another random sample of n₂ = 10 patients. The mean times to relief for each group was found to be ₁ 44 and ₂ = 49 minutes and the standard deviations were found to be s₁ = 11 and s2 = 9, respectively. Assume that both the populations of times to relief are normally distributed with equal population standard deviations. = (a) (3 pts.) State the null and the alternate hypotheses to test the company's claim. (b) (5 pts.) Find the standardized test statistic. (c) (3 pts.) State the rejection region at a = .01