Data, Sampling, and Variation in Data and Sampling · Exercise 11

Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new viral antibody drug is currently under study. It is given to patients once the virus's 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 patients with the viral disease 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.

$$\begin{array}{cccc}\text{Survival Length (in months)}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{.5–6.5}& & & \\ \text{6.5–12.5}& & & \\ \text{12.5–18.5}& & & \\ \text{18.5–24.5}& & & \\ \text{24.5–30.5}& & & \\ \text{30.5–36.5}& & & \\ \text{36.5–42.5}& & & \\ \text{42.5–48.5}& & & \end{array}$$

$$\begin{array}{cccc}\text{Survival Length (in months)}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{.5–6.5}& & & \\ \text{6.5–12.5}& & & \\ \text{12.5–18.5}& & & \\ \text{18.5–24.5}& & & \\ \text{24.5–30.5}& & & \\ \text{30.5–36.5}& & & \\ \text{36.5-45.5}& & & \end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §1.2 Data, Sampling, and Variation in Data and Sampling · Exercise 11