1. Here is data testing dosage amounts for a new drug used to treat pain. Due to its recent development, researchers want to know what is the appropriate dosage to treat chronic pain in arthritis patients. Each participant was given either a sugar pill, 50 mg, or 100 mg of the new medication. It is predicted that the 50 mg will be more effective than the placebo, and the 100 mg will be more effective than both the placebo and 50 mg. After a month, each participant rated their pain level. The higher the value, the more pain they felt. Use alpha = .05 Placebo/Sugar Pill 50 mg 100 mg X1 = 14 X2 = 12 X3 = 7 %3! SS, = 932 SS2 = 654 SS; = 620 %3! %3! %3D nį = 40 n2 =40 nz = 40 %3D SSTotal = 3106 A. State the hypotheses. B. Make a decision about the null. C. State your conclusion.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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1. Here is data testing dosage amounts for a new drug used to treat pain. Due to its recent development,
researchers want to know what is the appropriate dosage to treat chronic pain in arthritis patients. Each
participant was given either a sugar pill, 50 mg, or 100 mg of the new medication. It is predicted that the 50
mg will be more effective than the placebo, and the 100 mg will be more effective than both the placebo and
50 mg. After a month, each participant rated their pain level. The higher the value, the more pain they felt.
Use alpha = .05
Placebo/Sugar Pill
50 mg
100 mg
X1 = 14
SS, = 932
X2 = 12
X3 = 7
SS2 = 654
SS3 = 620
ni = 40
n2 = 40
n3 = 40
SS Total
3106
A. State the hypotheses.
B. Make a decision about the null.
C. State your conclusion.
D. Relate your conclusion to the research.
E. If allowed, conduct analytical comparisons.
a. State the hypotheses.
b. Make a decision about the null.
c. State your conclusion.
d. Relate your conclusion to the research.
Transcribed Image Text:1. Here is data testing dosage amounts for a new drug used to treat pain. Due to its recent development, researchers want to know what is the appropriate dosage to treat chronic pain in arthritis patients. Each participant was given either a sugar pill, 50 mg, or 100 mg of the new medication. It is predicted that the 50 mg will be more effective than the placebo, and the 100 mg will be more effective than both the placebo and 50 mg. After a month, each participant rated their pain level. The higher the value, the more pain they felt. Use alpha = .05 Placebo/Sugar Pill 50 mg 100 mg X1 = 14 SS, = 932 X2 = 12 X3 = 7 SS2 = 654 SS3 = 620 ni = 40 n2 = 40 n3 = 40 SS Total 3106 A. State the hypotheses. B. Make a decision about the null. C. State your conclusion. D. Relate your conclusion to the research. E. If allowed, conduct analytical comparisons. a. State the hypotheses. b. Make a decision about the null. c. State your conclusion. d. Relate your conclusion to the research.
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