Answer Happy

please answer all parts
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 (d) (3 pts.) At a = .01, does the data support the company's claim? Why or why not?