Concept explainers
As part of a sixth-grade class project the teacher brings to class a large jar containing 200 gumballs of two different colors: red and green. Andy is asked to draw a sample of his own choosing and estimate the number of red gumballs in the jar. Andy draws a sample of 25 gumballs, of which 8 are red and 17 are green. Use Andy’s sample to estimate the number of red gumballs in the jar.
To find:
The number of red gumballs in the jar.
Answer to Problem 1E
Solution:
The numbers of red gumballs in the jar are approximately 64.
Explanation of Solution
Given:
Total numbers of gumballs in a jar are 200. Andy draws a sample of 25 gumballs, of which 8 are red and 17 are green.
Formula used:
Single- Sample Estimation Method:
Where,
Calculation:
From the given information, substitute 200 for
Further simplify.
Conclusion:
Thus, the numbers of red gumballs in the jar are approximately 64.
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