Solution Found!
Find the levels of the confidence intervals that have the
Chapter 5, Problem 2E(choose chapter or problem)
QUESTION:
Find the levels of the confidence intervals that have the following values of \(z_{\alpha / 2}\):
a. \(z_{\alpha / 2}=1.96\)
b. \(z_{\alpha / 2}=2.17\)
c. \(z_{\alpha / 2}=1.28\)
d. \(z_{\alpha / 2}=3.28\)
Questions & Answers
QUESTION:
Find the levels of the confidence intervals that have the following values of \(z_{\alpha / 2}\):
a. \(z_{\alpha / 2}=1.96\)
b. \(z_{\alpha / 2}=2.17\)
c. \(z_{\alpha / 2}=1.28\)
d. \(z_{\alpha / 2}=3.28\)
Solution
Step 1 of 4
a) We have to find the confidence level for \(z_{\alpha / 2}=1.96\)
From the statistical tables \(Z_{0.025}=1.96\)
Then
\(\begin{array}{c} \alpha / 2=0.025 \\ \alpha=0.05 \\ =5 \% \end{array}\)
Hence the confidence level is 100 - 5 = 95%