Unit 8, Lesson 9
Variability in Samples
Algebra 2
Practice
Problem 1
A publishing company is interested in the number of books read each year by people. They collect a random sample of 20 people and determine the number of books that group read in the previous year. After running some simulations, the company estimates that the mean number of books read is 12.4 with a margin of error of 2.4. Based on these values, what interval is likely to contain the true mean number of books read in the previous year by the population?
Problem 2
Based on a survey from people in a town, the proportion of people interested in a new chain restaurant opening in their town is 0.42. After running a simulation, the sample distribution has a standard deviation of 0.07. Which of these is the smallest interval that likely describes the range of values we estimate for the population proportion using the margin of error from this unit?
0.21 to 0.63
0.28 to 0.56
0.35 to 0.49
0.41 to 0.43