Determine z\alpha for the following. (Round your answer to two

hexacordoK

hexacordoK

Answered question

2021-09-18

Determine zα for the following. (Round your answer to two decimal place)
a) α=0.0089
b) α=0.09
c) α=0.707

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-19Added 102 answers

Step 1
To find the value of Zα at the significance level 0.0089, the confidence level would be:
10.0089=0.9911
Then use Excel function normsinv(0.9911) to get the corresponding z- value. The Excel formula used is as shown:
A1=NORMSINV(0.9911)2
Part a
The Z-value for a significance level of 0.0089 is 2.37
At the significance level of α=0.0089, the corresponding Z value is 2.37.
Step 2
To find the value of Zα at the significance level 0.09, the confidence level would be;
10.09=0.91
Use the Excel function normsinv(0.91) to get the Z value as shown:
A1=NORMSINV(0.9911)23=NORMSINV(0.91)
Part b
The Z-value for a significance level of 0.91 is 1.34.
At the significance level of α=0.09, the corresponding Z-value is 1.34.
Step 3
To find the value of Zα at the significance level 0.707, the confidence level would be:
10.707=0.293
Use the Excel function normsinv(0.293) to get the Z value as shown:
A1=NORMSINV(0.9911)23=NORMSINV(0.91)45=NORMSINV(0.293)6
Part c
The Z-value for a significance level of 0.293 is - 0.545
At the significance level of α=0.707, the corresponding Z value is - 0.545.

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