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