Question

simple random sampling question :

Employment of Small Establishments In the 1958 Greek census of non-agricultural establishments 493 small establishments were listed in a section of Athens. A simple random sample of 30 establishments gives the following data on employment y . 2, 2,2 ,2 ,3, 5, 2,3 ,4, 5, 2, 4, 2, 6, 6, 7,5, 4, 5, 3, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2.

1. Estimate the average number of employees per establishment.

2. Estimate the variance and the standard error of the above estimate.

3. Estimate the coefficient of variation of the mean

4. Construct a 95% confidence interval for the mean

Answer 1

O sample mean , χ·Ca 30 given do ta sîze,n=30 - 0-286 q5% cof..dna ?nbus of t.rean ven hak Sampl오 mean , x:3 ,S33 o Standasd nor mol ta wo talled

2 568 3,St(30