A state cooperative department is performing a survey to determine the annual salary earned by managers numbering 3000 in the cooperative sector within the state.how large a sample size it should take in order to estimate the mean annual earnings within plus and minus 1000 and at 95 per cent confidence level the standard deviation of annual earnings of the entire population is known to be 3000

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A state cooperative department is performing a survey to determine the annual salary earned by managers numbering 3000 in the cooperative sector within the state.how large a sample size it should take in order to estimate the mean annual earnings within plus and minus 1000 and at 95 per cent confidence level the standard deviation of annual earnings of the entire population is known to be 3000
Expert Solution
Step 1

Given that the confidence level is at 95 percent.

So, the Z-value is:  Z=1.96.

It is required to estimate the mean annual earnings within plus and minus 1000.

Suppose, teh standard error is σx.

So,

Zσx=10001.96σx=1000σx=10001.96

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