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ESTIMATING POPULATION PARAMETERS

 

1.              ESTIMATING  THROUGH SMALL RANDOM SAMPLES,  UNKNOWN. 

 

If  and s are the mean and standard deviation of sample size n<30 from an approximately normal population with an unknown variance, a (1-) 100% confidence interval for  is given by

 -   <      <      ₊ 

 

 

2.              ESTIMATING p THROUGH LARGE RANDOM SAMPLES

If  is the proportion of successes in a random sample of size n and =1-, an approximately (1-) 100% confidence interval for the binomial parameter p is given by

-   <  p <   +   

 

For the estimate to be reliable, both n*q or n*p should be at least 5 or (n*p) > 5 and (n*q) > 5.