Answer :
Using the z table, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
In the given question,
We have to find the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82%.
The confidence interval is 82%.
We can write 82% as 82/100 and 0.82.
Now the value of
[tex]\alpha[/tex]=1−0.82
[tex]\alpha[/tex]=0.18
Now finding the value of [tex]\alpha[/tex]/2
[tex]\alpha[/tex]/2=0.18/2
[tex]\alpha[/tex]/2=0.09
Now finding the value of [tex]z_{a/2}[/tex].
[tex]z_{0.82}[/tex] = 1.34
Hence, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
To learn more about standard normal random variable link is here
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