Question

In: Statistics and Probability

a companys workforce of 10000 workers was randomly sampled by aunion organizer; the sample of...

a companys workforce of 10000 workers was randomly sampled by a union organizer; the sample of 25 workers gave a 95% confidence interval for the mean income(annual): $20000 plus minus $3,000. What is the 95 confience interval for the total payproll (total income of all10,000 workers)
a. 200000000 plus minus 30000000
b. 200000000 plus minus 15000
c. cannot be determined from this data
d. 200000000 plus minus 300000

Solutions

Expert Solution

200000000 plus minus 3000000 (a)

[ explanation:-

theory:-

a 95% confidence interval of population mean =

the 95% confidence interval for total observations (n) is =

***SOLUTION TO THE PROBLEM ***

the 95% confidence interval for the mean income(annual) is :-

the 95 % confidence interval for the total payroll (total income of all 10,000 workers) is:-

[ here, n = 10000]

]

orchestra answered 2 years ago
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