7.5.C.18 - Sampling Variability and the Effect of Sample Size – Exit Ticket
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3 Questions
Use the information below to answer the following questions.
Suppose that you wanted to estimate the mean time per evening spent doing homework for students at your school.
You decide to do this by taking a random sample of students from your school. You will calculate the mean time spent
doing homework for your sample. You will then use your sample mean as an estimate of the population mean.
10
1.
The sample mean has sampling variability. Explain what this means.
10
2.
When you are using a sample statistic to estimate a population characteristic,
do you want the sampling variability of the sample statistic to be large or
small? Explain why.
10
3.
Think about your estimate of the mean time spent doing homework for students at
your school. Given a choice of using a sample of size 20 or a sample of size 40,
which should you choose? Explain your answer.
From EngageNY.org of the New York State Education Department. Grade 7 Mathematics Module 5, Topic C, Lesson 18. Internet. Available from https://www.engageny.org/resource/grade-7-mathemat...; accessed 8/Apr/2016.