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Concept explainers
For each set of sample outcomes below, use Formula 6.2 to construct the 95% confidence
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b. |
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![Check Mark](/static/check-mark.png)
a.
The 95% confidence interval for estimating the population mean.
Answer to Problem 6.1P
Solution:
The 95% confidence interval for estimating
Explanation of Solution
Given Information:
Formula used:
Confidence interval for a sample mean (large sample, population standard deviation unknown) is given by,
Calculation:
The value of statistic at 95% level of significance is given as,
Substitute
Conclusion:
Thus, the 95% confidence interval is
![Check Mark](/static/check-mark.png)
b.
The 95% confidence interval for estimating the population mean.
Answer to Problem 6.1P
Solution:
The 95% confidence interval for estimating
Explanation of Solution
Given Information:
Formula used:
Confidence interval for a sample mean (large sample, population standard deviation unknown) is given by,
Calculation:
The value of statistic at 95% level of significance is given as,
Substitute 100 for
Conclusion:
Thus, the 95% confidence interval is
![Check Mark](/static/check-mark.png)
c.
The 95% confidence interval for estimating the population mean.
Answer to Problem 6.1P
Solution:
The 95% confidence interval for estimating
Explanation of Solution
Given Information:
Formula used:
Confidence interval for a sample mean (large sample, population standard deviation unknown) is given by,
Calculation:
The value of statistic at 95% level of significance is given as,
Substitute 20 for
Conclusion:
Thus, the 95% confidence interval is
![Check Mark](/static/check-mark.png)
d.
The 95% confidence interval for estimating the population mean.
Answer to Problem 6.1P
Solution:
The 95% confidence interval for estimating
Explanation of Solution
Given Information:
Formula used:
Confidence interval for a sample mean (large sample, population standard deviation unknown) is given by,
Calculation:
The value of statistic at 95% level of significance is given as,
Substitute 1020 for
Conclusion:
Thus, the 95% confidence interval is
![Check Mark](/static/check-mark.png)
e.
The 95% confidence interval for estimating the population mean.
Answer to Problem 6.1P
Solution:
The 95% confidence interval for estimating
Explanation of Solution
Given Information:
Formula used:
Confidence interval for a sample mean (large sample, population standard deviation unknown) is given by,
Calculation:
The value of statistic at 95% level of significance is given as,
Substitute
Conclusion:
Thus, the 95% confidence interval is
![Check Mark](/static/check-mark.png)
f.
The 95% confidence interval for estimating the population mean.
Answer to Problem 6.1P
Solution:
The 95% confidence interval for estimating
Explanation of Solution
Given Information:
Formula used:
Confidence interval for a sample mean (large sample, population standard deviation unknown) is given by,
Calculation:
The value of statistic at 95% level of significance is given as,
Substitute 33 for
Conclusion:
Thus, the 95% confidence interval is
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EBK THE ESSENTIALS OF STATISTICS: A TOO
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