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Investigating a Null hypothesis with SAS

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A researcher wants to investigate the null hypothesis:

Ho : µ1= µ2 = µ3 = µ4 using α = 0.05. Given σ²= 1 and Σ α j² = 2.76, how many subjects
j
should be assigned to each treatment for power, π = 1 - β ~ .80.

NOTE: To see the question better please check the attachment.
NOTE: I need only explanations, hypothesis, model, etc. to be written down. The calculation parts needs to be done in SAS, and I need SAS outputs, codes, too

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Solution Summary

The following demonstrates how a one way ANOVA implemented in SAS can be used to investigate a hypothesis and to determine how many subjects should be assigned to a treatment.

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Question: A researcher wants to investigate the null hypothesis:

Ho : µ1= µ2 = µ3 = µ4 using α = 0.05. Given σ²= 1 and Σ α j² = 2.76, how many subjects
j
should be assigned to each treatment for power, π = 1 - β ~ .80.

Answer: If there are four treatments in total, we can determine how many subjects should be assigned to each ...

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