A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a 99% confidence level. The company knows that the standard deviation of the amounts of detergent in all such jugs is .20 ounce. How large a sample should the company select so that the estimate is within .04 ounce of the population mean?

2 answers

Use a formula to find sample size.

Here is one:
n = [(z-value * sd)/E]^2
...where n = sample size, z-value = 2.58, sd = .20, E = .04, ^2 means squared, and * means to multiply.

Plug the values into the formula and finish the calculation. Round your answer to the next highest whole number.

I'll let you take it from here.
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