S-IC.B.5
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Example Problems
A smartphone manufacturer claims an average battery life of 10 hours on a standard test. A reviewer tests a random sample of 49 phones and finds a sample mean battery life of 9.3 hours with a sample standard deviation of 1.4 hours.
The reviewer wants to use these sample data to conduct a t test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
The reviewer wants to use these sample data to conduct a t test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
A nutrition bar advertises 200 calories per bar on average. A consumer group suspects the mean is lower and tests a random sample of 9 bars, finding a sample mean of 193 calories with a sample standard deviation of 6 calories.
The group wants to use these sample data to conduct a t test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
The group wants to use these sample data to conduct a t test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
A call center monitors average call length, which is supposed to be . A supervisor thinks the mean has changed and takes a random sample of calls, finding a sample mean of with a sample standard deviation of .
The supervisor wants to use these sample data to conduct a t test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
The supervisor wants to use these sample data to conduct a t test on the mean. Assume that all conditions for inference have been met.
Calculate the test statistic for their test.
Khan Academy Resources
1-on-1 AI tutoring aligned to S-IC.B.5. 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 →