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I know this question has 2 parts to it, but I just want to count this as 2/3 questions for the day. I don’t even plan on submitting any additional questions. If I really need to, I will separate the question, just let me know.,,Suppose we are interested in comparing the amount of time it takes to relieve a head-ache using two different drugs (drug #1 and drug #2). A random sample of 10 headache sufferers were selected to take drug #1 and a second, independent, random sample of 15 headache sufferers were selected to take drug #2. For those who took Drug #1, the average time to relief was 30 minutes with a standard deviation of 4 minutes. For those who took drug #2, the average time to relief was 40 minutes with a standard deviation of 6 minutes. Conduct a test at the 0.05 level of significance to determine if, on average, those who take drug #1 experience relief more quickly than who take drug #2. You may assume equal ?1= ?2. Also, find the 80% confidence interval for the difference of relief times between drug #1 and drug #2.

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