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Problem Set 1

The document presents a problem set focused on statistical analysis involving two different studies: one examining the effects of alcohol on physical activity performance and another investigating CD4 counts in AIDS patients. It includes tasks such as calculating means, medians, standard deviations, and discussing the appropriateness of these measures for the given data. Additionally, it prompts comparisons between male and female performance in the alcohol study and evaluates measures of location and dispersion for the AIDS study.

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enoch taclan
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18 views2 pages

Problem Set 1

The document presents a problem set focused on statistical analysis involving two different studies: one examining the effects of alcohol on physical activity performance and another investigating CD4 counts in AIDS patients. It includes tasks such as calculating means, medians, standard deviations, and discussing the appropriateness of these measures for the given data. Additionally, it prompts comparisons between male and female performance in the alcohol study and evaluates measures of location and dispersion for the AIDS study.

Uploaded by

enoch taclan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Problem Set 1

1. An investigator is interested in examining the effects of alcohol on individuals’ abilities to perform


physical activities. Twenty randomly selected individuals consumed a prescribed amount of alcohol, and
their time to complete a specific physical activity was recorded. The data are given here:

Time in
ID minutes
1 12.5
2 14
3 16.1
4 27.2
5 14.5
6 22.6
7 15.9
8 16.2
9 10.1
10 29.1
11 12.5
12 12.6
13 9.9
14 12.8
15 11.1
16 23.2
17 14.5
18 32.6
19 16.9
20 9

a. Compute the sample mean.


b. Compute the standard deviation.
c. Compute the sample median.
d. For this data, is the mean or the median a better measure of location? Why?
e. The investigator suspects that there may be a difference for males versus females in times to
completion of these tasks under the influence of alcohol. Subjects with identification numbers
1,2,5,8,9,11,13,17,19 and 20 are male; the remaining subjects are female. Generate and
compare means, medians, and standard deviations for the males and females, considered
separately.
Problem Set 1

2. A study was recently conducted in the Boston area to investigate various aspects of AIDS
complications and clear. The study involved nearly 300 AIDS patients. The following data represent CD4
counts for 10 randomly selected AIDS patients in the study.

75 135 210 240 86 100 125 59 63 100

a. Compute the mean CD4 count.

b. Compute the median CD4 count.

c. Compute the range of CD4 counts.

d. Compute the standard deviation in the CD4 counts.

e. Which is the best measure of location, e.g. mean or median? Why?

f. Which is the best measure of dispersion? Why?

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