MATH 110 Module 6 Exam Scored 100% - Portage Learning

MATH 110 Module 6 Exam Scored 100% - Portage Learning A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 40 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 320 minutes with a standard deviation of 60 minutes. Find the 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people. Answer the following questions: 1. Multiple choice: Which equation would you use to solve this problem? A. B. C. D. E. 2. List the values you would insert into that equation. 3. State the final answer to the problem Your Answer: 1. I would use the first one (A). 2. n+40, =320, and s=60, z=1.645(90%confidencelevel) 3. The final asnwer to the problem is: The drug will ultimately sold to a very large number of people. So, we may assume a very large population. Since the sample size is greater than 30, we should use Case 1: Very large population and very large sample size. We are given the sample mean and sample standard deviation. So, we have n=40 x ̅=320 s=60 We will use these values in the equation: A. For an 90% confidence level, we look at table 6.1 and find that z = 1.645. When we substitute these values into our equation, we get: When we do the arithmetic on the right and left hand side, we get: 304.39 < μ< 335.61.