a.
Graph
a.
Answer to Problem 19PPS
Explanation of Solution
Given information:
Explore how the confidence interval is affected by the
Calculation:
Consider the sample data
In
Now calculate the value of maximum error estimated, for
Now , the graph of confidence intervals on number line is as ahown,
Hence, the resultant graph is plotted.
b.
Is sample size affecting the confidence interval?
b.
Answer to Problem 19PPS
The sample size increases, the confidence interval decreases.
Explanation of Solution
Given information:
Explore how the confidence interval is affected by the sample size and the confidence level. Consider a sample of data where
Calculation:
According to the graph plotted in part
Hence, the sample size increases, the confidence interval decreases.
c.
Graph the
c.
Explanation of Solution
Given information:
Explore how the confidence interval is affected by the sample size and the confidence level. Consider a sample of data where
Calculation:
Consider the sample data
In
Now In
Now In
Now plot all confidence levels on number line,
d.
Is the confidence level affecting the confidence interval?
d.
Answer to Problem 19PPS
Increasing the confidence level will increase the confidence interval.
Explanation of Solution
Given information:
Explore how the confidence interval is affected by the sample size and the confidence level. Consider a sample of data where
Calculation:
According to the graph of part
Hence, increasing the confidence level will increase the confidence interval.
e.
Analyse, decreasing the size of the confidence interval affect the accuracy of the confidence interval.
e.
Answer to Problem 19PPS
Decreasing the size of confidence interval, increases the accuracy of the estimate.
Explanation of Solution
Given information:
Explore how the confidence interval is affected by the sample size and the confidence level. Consider a sample of data where
Calculation:
Expanding the confidence interval reduces the accuracy of the estimate.
so, decreasing the size of confidence interval, increases the accuracy of the estimate.
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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