S.DC.1.4
Explain how sample size impacts the precision with which generalizations can be made.
Example Problems
A restaurant chain wants to make a one-sample z interval to estimate the proportion of customers who are satisfied with a new menu item. They want the margin of error to be no more than at confidence.
What is the smallest sample size required to obtain the desired margin of error?
What is the smallest sample size required to obtain the desired margin of error?
A quality engineer wants to use a one-sample z interval to estimate what proportion of lightbulbs fail before 1000 hours. She wants the margin of error to be no more than at the 95% confidence level.
What is the smallest sample size required to obtain the desired margin of error?
What is the smallest sample size required to obtain the desired margin of error?
A broadband task force wants to make a one-sample z interval to estimate the proportion of households with high-speed internet. They want the margin of error to be no more than at the 95% confidence level.
If we assume , what is the smallest sample size required to obtain the desired margin of error?
If we assume , what is the smallest sample size required to obtain the desired margin of error?
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