Find the levels of the confidence intervals that have the

Chapter 5, Problem 2E

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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. \(z_{\alpha / 2}=3.28\)

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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. \(z_{\alpha / 2}=3.28\)

ANSWER:

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%

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