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FLVS Algebra 2 Segment 2 Honors Project
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FLVS Algebra II
10.07 Segment 2 Honors Project
Task 2
Task 1
Part 1:
Part 2:
The probability that a person saw results was 22/40 = 0.55 = 55%. The probability that a participant saw results, given they took the pill was A+B/22 = 12/22 = 0.545 = 55%. The probability a person saw results given they took the placebo was C+D/18=9/22=0.4=40%
Part 3:
The probability a person took the placebo given they did not see results: 11/18 = 61%
The probability a person took the power pill given they did not see results: 7/18 = 38%
Part 1:
The participants can be chosen randomly, it does not have to be done in order. To find the total number of combinations, use the Combination formula: nCr=n!/r!(n-r)! where 40=n and 10=r
40 C 10= 847,660,528
Part 2:
To find the number of ways to choose the research board officers, the permutations formula can be used nPr=n!/(n-r)!. We need to use this formula because the directions gives a specific direction (Doctors can only hold one office on the research board.). 15=n and 4=r
15 P 4= 32,760
Task 3
Part 1: Based on your knowledge of fair decision making and probability concepts, should the Power Pill be produced and distributed? Explain your reasoning.
No, I do not think the power pill should be produced and distributed just yet. It's true that the participants were randomized and the percentages of people who saw results with the pill were higher than the no results and the placebo percentages. However the percentages did not vary that much and were not that much higher than the no results and placebo percentages. The experiment should be conducted a few more times with new participants to examine the pill further.
Part 2:
What effect (if any) did telling two groups about expected outcomes have on results? Use statistics to provide proof for your reasoning and explain.
It is very hard to determine if telling the groups had any effect on the outcomes. From the table, out of the A and B groups it seems like it did have an effect but on the flip side it didn't seem to affect the placebo groups. Based on that information if I had to make a decision I would probably say it did not really affect the outcomes.
Part 3:
Are there any flaws in the testing process? Should any of the steps or protocol be changed/avoided during round two of testing? Explain your reasoning.
Yes. The fact that some participants were told and some were not, mixed with some taking the placebo and some taking the real pill is too much. Too many things are being tested. There should be a separate experiment testing the effects of a participant being told. Also, to really see if the pill worked, the A and B groups should be officially examined for results.