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Algebra II.4.D.26 - Ruling Out Chance – Exit Ticket

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From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 4, Topic D, Lesson 26. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.
Medical patients who are in physical pain are often asked to communicate their level of pain on a scale of 0 to 10 where 0 means no pain and 10 means worst pain. (Note: Sometimes a visual device with pain faces is used to accommodate the reporting of the
Question 1
1.

From the distribution above, what is the probability of obtaining a Diff value of -1 or less?

Question 2
2.

With regard to this distribution, would you consider a Diff value of -0.4 to be statistically significant? Explain.

Question 3
3.

With regard to how Diff is calculated, if Group A represented a group of patients in your experiment who received a new pain relief treatment and Group B received a pill with no medicine (called a placebo), how would you interpret a Diff value of -1.4 pain scale units in context?

Question 4
4.

Given the distribution above, if you obtained a Diff value such as -1.4 from your experiment, would you consider that to be significant evidence of the new treatment being effective on average in relieving pain? Explain.