QNT 351 Week 1 Introduction to Statistical Thinking Worksheet

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QNT
351 Week 1 Introduction to Statistical Thinking Worksheet

 

INTRODUCTION
TO STATISTICAL THINKING

 

Directions:
Complete the following questions. The most important part of statistics is the
thought process, so make sure that you explain your answers, but be careful
with statistics. The following statistics/probability problems may intrigue you
and you may be surprised. The answers are not always as you might think.  Please answer them as well as you can by
using common logic.

 

1.       There are 23 people at a party. Explain what the probability is that
any two of them share the same birthday. 


 

2.       A cold and flu study is looking at how two different medications
work on sore throats and fever.  Results
are as follows:

 

·        
Sore throat - Medication
A:  Success rate - 90% (101 out of 112
trials were successful)

·        
Sore throat - Medication
B:  Success rate - 83%  (252 out of 305 trials were successful)

 

·        
Fever - Medication A:  Success rate - 71%  (205 out of 288 trials were successful)

·        
Fever -  Medication B: 
Success rate - 68%  (65 out of 95
trials were successful)

Analyze the data
and explain which one would be the better medication for both a sore throat and
a fever.

 

 

3.       The United States employed a statistician to examine damaged planes
returning from bombing missions over Germany in World War II.  He found that the number of returned planes
that had damage to the fuselage was far greater than those that had damage to
the engines.  His recommendation was to
enhance the reinforcement of the engines rather than the fuselages.  If damage to the fuselage was far more
common, explain why he made this recommendation.
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