Illustrative Math - Algebra 2 - Unit 7 - Lesson 16

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Last updated about 1 year ago

6 Questions

A scientist compares methane levels on Mars at several locations, in parts per billion, taken at 2 different times during the Martian day. The difference between the means of the methane levels for the two different times is -0.08 parts per billion. The scientist uses simulations to create a randomization distribution to try to determine the likelihood that the results happened by chance. The histogram represents the results of the 200 trials from the simulations.
According to the randomization distribution, is the difference in means due to chance or the time at which the measurements were made? Explain your reasoning.

S.IC.5

S.ID.4

Why do we use randomization distributions?

To prove that the only way the difference could happen is due to the experimental treatment

To randomly assign groups in an experiment

To randomly select a sample for use in an experiment

To determine how likely it is that you would arrive at a difference of means due to chance

S.IC.5

S.ID.4

Which of these values would be most useful for determining whether the difference in means is likely due to the treatment? Explain your reasoning.
interquartile range
median
standard deviation
range

S.IC.5

S.ID.4

A distribution is approximately normal with a mean of 70 and a standard deviation of 10. Match the interval with the approximate percentage of data that falls within that interval.

		34%
		47.5%
		68%
		95%
		99.7%

S.IC.5

S.ID.4

This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/7/16/index.html ; accessed 29/July/2021.

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