Use the data in the accompanying table. That table describes results from a clinical trial of the well-known Treatment A

Instructions:

1.         You may work in groups of up to 4 students and turn in one paper with everyone's name on it.

2.         Use Minitab Statistical Software to do the assignment.

3.         You can cut and paste only the relevant parts of the computer output to support your analysis.

4.         Please type your solutions using MS-Word or handwrite them clearly and neatly using a pen (not a pencil).

5.         On the first page of the assignment, write the names, student numbers, and section number.

6.         All pages must be stapled together.

Use the following table for the following questions. 

a.  Find the probability of the positive result given that no Hepatitis C. 

b.  Find the probability of the negative result given that Hepatitis C. 

c. Find the probability of Hepatitis C given that positive result. 

d. Find the probability of no Hepatitis C given that negative result.

Question #2 (12 Points):

Use the data in the accompanying table. That table describes results from a clinical trial of the well-known Treatment A 

a. Compare P(headache | Treatment A) and P(headache | placebo). 

b. Find the value of the absolute risk reduction for headaches in the treatment and placebo groups.

c. Find the number of Treatment A users that would need to stop using Treatment A in order to prevent a single headache.

d.  For those in the treatment A group, find the odds in favor of a headache, then find the odds against a headache.

e.  Find the relative risk of a headache for those in the treatment group compared to those in the placebo group. Interpret the result. 

f.   Find the odds ratio for headaches in the treatment group compared to the placebo group, then interpret the result.

Question 3 (10 Points):

In a clinical test of the drug Lipitor (atorvastatin), 16.7% of the subjects treated with 10 mg of atorvastatin experienced headaches (based on data from Parke-Davis). In each case, assume that 6 subjects are randomly selected and treated with 10 mg of atorvastatin, then find the indicated probability.

a.  Find the probability that at least five of the subjects experience headaches. 

b.  Find the probability that at most two subjects experience headaches. 

c.  Find the probability that more than one subject experiences headaches.

d.  Find the probability that at least one subject experiences headaches.

e. Find the expected value and the standard deviation of the subjects treated with 10 mg of atorvastatin.

Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 7.0 (based on data from Manitoba Agriculture and Food). Find the probability of no dandelions in an area of 1 m2

a. Find the probability of at least one dandelion in an area of 1 m2

b. Find the probability of at most two dandelions in an area of 1 m2

c. Find the probability of exactly 5 dandelions in an area of 3 m2

d. Find the probability of no more than 4 dandelions in an area of 3 m2

e. Find the expected value and the variance of dandelions per square meter