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Chapter 1: Q. 30 (page 52)

Use the following data to answer the next five exercises: A pair of studies was performed to measure the effectiveness of a new software program designed to help stroke patients regain their problem-solving skills. Patients were asked to use the software program twice a day, once in the morning and once in the evening. The studies observed 200 stroke patients recovering over a period of several weeks. The first study collected the data in Table 1.31. The second study collected the data in Table 1.32.

The first study was performed by the company that designed the software program. The second study was performed by the American Medical Association. Which study is more reliable?

Short Answer

Expert verified

For the given case, the second study seems more reliable.

Step by step solution

01

Concept Introduction

Statistics, sometimes known as the "Science of Facts," allows us to derive conclusions from a set of data. It can also assist people in all industries in answering research or business queries, as well as forecast outcomes, such as what show you should watch next on your favorite video app.

02

Explanation

The results of the first investigation show that the software program is effective. This could be due to the fact that the study was conducted by the program's creators, so there's a potential it's biased. The American Medical Association conducts the second study, which is thought to be more legitimate and reputable because it is unrelated to the software. As a result, we believe the second study is more trustworthy because it was conducted by an independent authority.

03

Final answer

As a result, the second study seems more reliable for the given case.

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Use the following information to answer the next seven exercises: 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

Suppose that the first researcher conducted his survey by randomly choosing one state in the nation and then randomly picking 40 patients from that state. What sampling method would that researcher have used?
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