To calculate: The critical value
Answer to Problem 66E
The critical value is 1.671, with technology critical value is 1.665 and the advantage for more accurate is that 90% of the confidence interval contains the true population mean.
Explanation of Solution
Given Information:
Confidence interval
Formula Used Degree of freedom
Calculation:
Find the degree of freedom, use the formula
Table B does not contain a row with
Thus,
The confidence level is 90%.
Convert 90% into decimal.
Find the value of the column.
From table B find critical value
Thus, the critical value
Find the critical value, use technology for
Thus, critical value
Thus, the critical value is 1.671 and with technology critical value is 1.665.
Higher the accuracy of degree of freedom more accurate will be the confidence interval. Thus, 90% of the confidence interval contains the true population mean for the sample size of 77.
Hence, 90% of the confidence interval contains the true population mean.
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