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Algebra II.4.C.21 - Margin of Error When Estimating a Population Mean – Exit Ticket

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From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 4, Topic C, Lesson 21. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.
A Health Group study recommends that the total weight of a male student’s backpack should not be more than 15% of his body weight. For example, if a student weighs 170 pounds, his backpack should not weigh more than 25.5 pounds. Suppose that ten randomly
Question 1
1.

For each student, calculate backpack weight as a percentage of body weight (round to one decimal place).

Question 2
2.

Based on the data in part (a), estimate the mean percentage of body weight that eleventh-grade boys carry in their backpacks.

Question 3
3.

Find the margin of error for your estimate of part (b). Round your answer to three decimal places. Explain how you determined your answer.

Question 4
4.

Comment on the amount of weight eleventh-grade boys at this school are carrying in their backpacks compared to the recommendation by the Health Group.