## If the inspection division of a county weights and measures department wants to estimate the mean amount of soft-drink fill in 2-liter bottl

Question

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft-drink fill in 2-liter bottles to within LaTeX: \pm± 0.01 liter with 95% confidence and also assumes that the standard deviation is 0.05 liter, what sample size is needed?

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2021-10-12T10:20:13+00:00
2021-10-12T10:20:13+00:00 1 Answer
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## Answers ( )

Answer:n=97

Step-by-step explanation:The

margin of erroris the range of values below and above the sample statistic in a confidence interval.Normal distribution, is a “probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean”.Assuming the X follows a normal distribution

We know that the margin of error for a confidence interval is given by:

(1)

The next step would be find the value of , and

Using the normal standard table, excel or a calculator we see that:

If we solve for n from formula (1) we got:

And we have everything to replace into the formula:

And if we round up the answer we see that the value of n to ensure the margin of error required is n=97.