Question

In: Math

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose...

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 (mean) 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 A: 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 B: 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

Complete the tables using the data provided. (Enter exact numbers as integers, fractions, or decimals.)

Researcher A

Survival Length
(in months)
Frequency Relative
Frequency
Cumulative Relative
Frequency
0.5-6.5
6.5-12.5
12.5-18.5
18.5-24.5
24.5-30.5
30.5-36.5
36.5-42.5
42.5-48.5

Researcher B

Survival Length
(in months)
Frequency Relative
Frequency
Cumulative Relative
Frequency
0.5-6.5
6.5-12.5
12.5-18.5
18.5-24.5
24.5-30.5
30.5-36.5
36.5-45.5

Solutions

Expert Solution

Answer:-

Cumulative Relative Frequency(CRF)

CRF1=RF1

CRF2=CRF1+RF2

CRF2=CRF1+RF2 .............

CRFn=CRFn-1+RFn

Researcher A: 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 B: 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

Resercher A:-

Survival Length Frequency (fi) Relative Frequency (Rfi) Cumulative Relative Frequency (CRF)
0.5-6.5 2 0.05 0.05
6.5-12.5 5 0.125 0.175
12.5-18.5 9 0.225 0.4
18.5-24.5 5 0.125 0.525
24.5-30.5 7 0.175 0.7
30.5-36.5 7 0.175 0.875
36.5-42.5 2 0.05 0.925
42.5-48.5 3 0.075 1
40

Resercher B:-

Survival Length Frequency (fi) Relative Frequency (Rfi) Cumulative Relative Frequency (CRF)
0.5-6.5 3 0.075 0.075
6.5-12.5 2 0.05 0.125
12.5-18.5 11 0.275 0.4
18.5-24.5 8 0.2 0.6
24.5-30.5 6 0.15 0.75
30.5-36.5 6 0.15 0.9
36.5-45.5 4 0.1 1
40

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