How large a sample would be necessary to estimate the true proportion of sales invoices containing errors in a large population within ±7%, with 95% confidence? (Assume a pilot sample yields p = 0.15.) A firm has a population of 1,000 accounts and wishes to estimate the total population value. A sample of 80 accounts is selected with average balance of $87.6 and standard deviation of $22.3. Find the 95% confidence interval estimate of the total balance.

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  1. How large a sample would be necessary to estimate the true proportion of sales invoices containing errors in a large population within ±7%, with 95% confidence? (Assume a pilot sample yields p = 0.15.)
  2. A firm has a population of 1,000 accounts and wishes to estimate the total population value. A sample of 80 accounts is selected with average balance of $87.6 and standard deviation of $22.3. Find the 95% confidence interval estimate of the total balance.

Did you know:

  • Logic is a systematic method for getting the wrong conclusion with confidence. Statistics is a systematic method for getting the wrong conclusion with 95 percent confidence.
  • Did you hear the one about the statistician who took the Dale Carnegie course? He improved his confidence from 0.95 to 0.99.
  • Statistics means never having to say you're certain.
  • Q: How many statisticians does it take to change a light bulb?       A: One plus or minus three.
 
 
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