Practice of Statistics in the Life Sciences
4th Edition
ISBN: 9781319013370
Author: Brigitte Baldi, David S. Moore
Publisher: W. H. Freeman
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Question
Chapter 8, Problem 8.1CRE
a.
To determine
To find: histogram of the given data and also plot the relative frequencies and explain the distribution of weights of newborn babies.
a.
Expert Solution
Explanation of Solution
Given:
The dataset:
| Weight(Grams) | Count |
| Less than 500 | 5980 |
| 500 - 999 | 22015 |
| 1000 - 1499 | 29846 |
| 1500 - 1999 | 63427 |
| 2000 - 2499 | 204295 |
| 2500 - 2999 | 744181 |
| 3000 - 3499 | 1566755 |
| 3500 - 3999 | 1055004 |
| 4000 - 4499 | 262997 |
| 4500 - 4999 | 36706 |
| 5000 - 5499 | 4216 |
Formula used:
Calculation:
| Weight(Grams) | Relative frequency |
| Less than 500 | 0.001 |
| 500 - 999 | 0.006 |
| 1000 - 1499 | 0.007 |
| 1500 - 1999 | 0.016 |
| 2000 - 2499 | 0.051 |
| 2500 - 2999 | 0.186 |
| 3000 - 3499 | 0.392 |
| 3500 - 3999 | 0.264 |
| 4000 - 4499 | 0.066 |
| 4500 - 4999 | 0.009 |
| 5000 - 5499 | 0.001 |
| Sum | 1 |
Graph:
The histogram:
The relative frequency histogram:
Based on the above histogram, it looks that data is approximately
b.
To determine
To find the
b.
Expert Solution
Explanation of Solution
Formula used:
Calculation:
| Weight(Grams) | Count | Cumulative frequency. |
| Less than 500 | 5980 | 5980 |
| 500 - 999 | 22015 | 27995 |
| 1000 - 1499 | 29846 | 57841 |
| 1500 - 1999 | 63427 | 121268 |
| 2000 - 2499 | 204295 | 325563 |
| 2500 - 2999 | 744181 | 1069744 |
| 3000 - 3499 | 1566755 | 2636499 |
| 3500 - 3999 | 1055004 | 3691503 |
| 4000 - 4499 | 262997 | 3954500 |
| 4500 - 4999 | 36706 | 3991206 |
| 5000 - 5499 | 4216 | 3995422 |
| Sum | 3995422 |
Median =
Now, it required to see that in under which CF value does it falls.
The value 1997711 is less than 2636499, so the median value falls in the class 3000 − 3499.
c.
To determine
To construct the pie chart or bar chart to show the proportion of given categories.
c.
Expert Solution
Explanation of Solution
Given:
The categories:
Very low birth weight: Less than 1500 grams
Low birth weight: Less than 2500 grams
Normal birth weight: More than 2500 grams
Calculation:
Count of each category:
| Category | Frequency | Proportion |
| Very low birth Weight | 57841 | 0.0144768 |
| Low birth weight | 267722 | 0.0670072 |
| Normal birth weight | 3669859 | 0.918516 |
Graph:
d.
To determine
To explain the outcome of the analysis that is being done so far.
d.
Expert Solution
Explanation of Solution
Based on the graph prepared in the last part, it is clearly visible that about 8% child having risk of low weight at the time of birth, which indicates at huge proportion of total, it is not an unusual
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Chapter 8 Solutions
Practice of Statistics in the Life Sciences
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