Question

a company wants to estimate the holiday days of its 400 workers. they took a randome...

a company wants to estimate the holiday days of its 400 workers.
they took a randome sample of 25 workers (giving 95% confidence interval of 8.1+- 3). now,the 95% confidence interval for the holidays days of workers is 3,240 +- ? (how much: 1200 or 60 or 15)
Math   Statistics-And-Probability   
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Answer #1

The 95% confidence interval for 25 workers is given by (5.1,11.1)

It is evident that

Now to calculate 95% confidence interval for 400 workers,

[Using the propoerties of standard deviation and algebra]

Hence the 95% confidence interval for 400 workers is given by

The required answer is 15.

Hopefully this will help you. In case of any query, do comment. If you are satisfied with the answer, give it a like. Thanks.

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