# Investigating a Null hypothesis with SAS

A researcher wants to investigate the null hypothesis:

Ho : Âµ1= Âµ2 = Âµ3 = Âµ4 using α = 0.05. Given σÂ²= 1 and Σ α jÂ² = 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

https://brainmass.com/statistics/hypothesis-testing/investigating-null-hypothesis-sas-15599

#### Solution Preview

Please see the attached file.

Question: A researcher wants to investigate the null hypothesis:

Ho : Âµ1= Âµ2 = Âµ3 = Âµ4 using Î± = 0.05. Given ÏƒÂ²= 1 and Î£ Î± jÂ² = 2.76, how many subjects

j

should be assigned to each treatment for power, Ï€ = 1 - Î² ~ .80.

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

#### 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.