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, 49, 38, 42

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, 3, 7, 10

1. Did either research have a patient that lived 4 years, if so, which one? (2 pts)

2. Find the following summary statistic for each researcher. (10 pts)

Researcher 1		Researcher 2
Mean		Mean
Median		Median
Standard Dev.		Standard Dev.
Variance		Variance
Range		Range

3. Construct a box plot for each researcher and show both on the same axis for comparison.

4. Based on the boxplot, which researcher has a longer life expectancy? Explain your answer.

5. Do you think it would be unusual for a patient in Researcher 1’s group to live for 52 months? Why or why not?

6. Do you think it would be unusual for a patient in researcher 2’s group to live for 22 months? Why or why not?

Answer 1

ans a ) no, according to the given data there is nno researcher have a patient that lived 4 years i.e 48 monnths

ans b )using minita>stat>basic stat>basic stat>descriptive stat

we have

Descriptive Statistics: Researcher 1, Researcher 2

Variable Mean StDev Variance Median Range
Researcher 1 23.57 11.26 126.76 24.00 44.00
Researcher 2 22.77 10.38 107.72 22.00 42.00

c )

d )resercher 1 has a longer life expectancy.

e ) for researcher 1 , mean + 2 std dev

23.57+2*11.26=46.09 <52 . yes it is uusual.

f ) for researcher 1 , mean + 2 std dev = 22.77+2*10.38 =43.53>22

so it is not unusual