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.
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.
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.
What is the probability that the sample mean mass is within of the population mean?
Round your answer to the nearest hundredth.

1-on-1 AI tutoring aligned to PS.IS.2.e.i. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →