7.SP.2.c

Gauge how far off an estimate or prediction might be related to a population character of interest.

Example Problems
A university dean wants to estimate the mean GPA of graduating seniors. They'll sample students to build a 95% confidence interval for the mean with a margin of error of no more than . Prior data suggests that the standard deviation of GPAs is .

Which of these is the smallest approximate
sample size required to obtain the desired margin of error?
A construction lab wants to estimate the mean slump in centimeters for a concrete mix. They'll sample batches to build a 90% confidence interval for the mean with a margin of error of no more than . Test records indicate that the standard deviation is .

Which of these is the smallest approximate
sample size required to obtain the desired margin of error?
An e-commerce warehouse wants to estimate the mean weight in kilograms of packages prepared for shipping. They'll sample packages to build a 90% confidence interval for the mean with a margin of error of no more than 0.5 kg. Suppose that the standard deviation of package weights is .

What is the smallest approximate
sample size required to obtain the desired margin of error?
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