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

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4 Nsɛmmisa

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

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1.

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

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2.

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

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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.

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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.

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.