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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; 34Researcher 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; 29Complete the tables using the data provided. (Enter exact numbers as integers, fractions, or decimals.)

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; 34Researcher 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; 29Complete the tables using the data provided. (Enter exact numbers as integers, fractions, or decimals.)

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Solution

To complete the tables using the data provided, you would first need to organize the data for each researcher.

For Researcher A, the data would look like this:

Patient Number Length of Life (months)
1 3
2 4
3 11
4 15
5 16
... ...
40 34

For Researcher B, the data would look like this:

Patient Number Length of Life (months)
1 3
2 14
3 11
4 5
5 16
... ...
40 29

You would then calculate the mean (average) length of life for the patients in each study. To do this, you would add up all the lengths of life and then divide by the number of patients (40).

For example, for Researcher A, the mean length of life would be calculated as follows:

(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) / 40

You would do the same for Researcher B.

This would give you the mean length of life for the patients in each study, which you could then compare to determine the effectiveness of the treatment program.

This problem has been solved

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