Illustrative Math - Algebra 2 - Unit 7 - Lesson 12

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Last updated about 1 year ago

5 Questions

Select all of the values for the population mean that would be plausible based on an estimate of 105 cm with a margin of error of 21 cm.

S.IC.4

A normal curve with a mean of 70 and a standard deviation of 20 is shown. Shade the region under the curve between the mean and one standard deviation greater than the mean. How much of the data falls within the shaded region?

S.IC.4

Noah and Clare are studying the noise level, in decibels, outside of their school in the morning. They sample in 15 minute time periods in the morning to determine whether the noise level reaches 90 or more decibels. They each take a random sample to find the proportion of 15 minute time periods where the noise level reaches 90 or more decibels. Noah's sample contains 12 fifteen minute time periods, and Clare’s sample contains 25 fifteen minute time periods.

After collecting data, they run 200 simulations each to determine an estimate for the proportion of the 15 minute time periods where the noise level reaches 90 or more decibels. How do you think Noah's reported margin of error compares to Clare’s? Explain your reasoning.

S.IC.4

This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/7/12/index.html ; accessed 29/July/2021.

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