Algebra II.4.C.20 - Margin of Error When Estimating a Population Mean – Exit Ticket

Last updated almost 4 years ago

3 questions

At the beginning of the school year, school districts implemented a new physical
fitness program. A student project involves monitoring how long it takes
eleventh graders to run a mile. The following data were taken midyear.

What is the estimate of the population mean time it currently takes eleventh graders to run a mile based on the following data (minutes) from a random sample of ten students? 6.5, 8.4, 8.1, 6.8, 8.4, 7.7, 9.1, 7.1, 9.4, 7.5

The students doing the project collected 50 random samples of 10 students each and calculated the sample means. The standard deviation of their distribution of 50 sample means was 0.6 minutes. Based on this standard deviation, what is the margin of error for their sample mean estimate? Explain your answer.

Interpret the margin of error you found in part (b) in the context of this problem.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 4, Topic C, Lesson 20. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.