PS.IS.2.e.i

identify the basic conditions for inference: random sample, independence, and approximate normality;

Example Problems
At a hospital, birth weights are approximately normally distributed with a mean of and a standard deviation of . A random sample of 100 newborns is selected.

What is the probability that the
sample mean weight is within of the population mean?

Round your answer to the nearest hundredth.
A smartphone maker calibrates screen brightness levels that are approximately normally distributed with a mean of and a standard deviation of . A random sample of 64 phones is selected.

What is the probability that the mean brightness
is within 5 nits of the population mean?



Round your answer to the nearest hundredth.
A cereal factory fills boxes to a mass that is approximately normal with a mean of and a standard deviation of . A random sample of 25 boxes is selected.

What is the
probability that the sample mean mass is within of the population mean?



Round your answer to the nearest hundredth.
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