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 (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

Answer 1

Answer:-

Cumulative Relative Frequency(CRF)

CRF₁=RF₁

CRF₂=CRF₁+RF₂

CRF₂=CRF₁+RF₂ .............

CRF_n=CRF_n-1+RF_n

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