Studies are often done by pharmaceutical companies to determine the effectivenes

Question

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected. Researcher 1: 3: 4: 11: 15: 16: 17: 22: 44: 37: 16: 14: 24: 25: 15: 26: 27: 33: 29: 35: 44: 13: 21: 22: 10: 12: 8: 40: 32: 26: 27: 31: 34: 29: 17: 8: 24: 18: 47: 33: 34 Researcher 2: 3: 14: 11: 5: 16: 17: 28: 41: 31: 18: 14: 14: 26: 25: 21: 22: 31: 2: 35 44: 23: 21: 21: 16: 12: 18: 41: 22: 16: 25: 33: 34: 29: 13: 18: 24: 23: 42: 33: 29 Perform the following tasks: a. Compute the mean, median, mode, range, and standard deviation for the data sets for each researcher. b. Use the normal distribution to assist you in determining which researcher's data set had a higher average length of time his AIDS patients live once starting the treatment. Show your work.

Explanation / Answer

For researcher 1:

Mean = 23.575

Median = 24

Mode = More than 1 answers for this: 8,15,16,17,22,24,

Sample Standard deviation = 11.259

Range = 47-3 = 44

For researcher 2:

Mean = 22.775

Median = 22

Mode = More than 1 answers for this: 14,16,18,21

Sample Standard deviation = 10.378

Range = 44-2 = 42

Since mean of researcher 1 is higher, this means his patients have higher living time.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---