SOLUTION: Suppose that 30 randomly selected subjects are randomly assigned to three different treatment groups, 10 subjects in each. Each group is given one of three different drugs (A, B, o

Question 403485: Suppose that 30 randomly selected subjects are randomly assigned to three different treatment groups, 10 subjects in each. Each group is given one of three different drugs (A, B, or C) and the subjects� responses are measured on a ratio scale.
We want to know test the hypothesis that the mean group responses are not all equal with a 5% significance level:
Sum ofSquares df MeanSquare F Sig.(p-value)
Between Groups 3.998 2 1.999 5.312 0.011
Within Groups 10.160 27 0.376
Total 14.158 29
F is 5.312 and p value is 0.011

With that result for the F-test, should we reject the null hypothesis given above?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
We want to know test the hypothesis that the mean group responses are not all equal with a 5% significance level:
Sum ofSquares df MeanSquare F Sig.(p-value)
Between Groups 3.998 2 1.999 5.312 0.011
Within Groups 10.160 27 0.376
Total 14.158 29
F is 5.312 and p value is 0.011
=======================================
With that result for the F-test, should we reject the null hypothesis given above?
Ho: means are all equal
Ha: At least one of the means is not equal
---
Since the p-value is less than 5%, reject Ho.
At least one of the means is not equal.
====
Cheers,

RELATED QUESTIONS
In order to conduct an experiment, 4 subjects are randomly selected from a group of 20... (answered by ikleyn)

. A medical researcher wishes to try three different techniques to lower blood pressure... (answered by stanbon)

3.A researcher wishes to try three different techniques to lower the blood pressure of... (answered by textot)

A clinical test on humans of a new drug is normally done in three phases. Phase I is... (answered by Solver92311)

a researcher wishes to try three different techniques to lower blood pressure of... (answered by stanbon)

Suppose that a class of 30 students are assigned to write an essay. if 4 essays are... (answered by stanbon)

In an experiment involving a treatment applied to 5 test subjects, researchers plan to... (answered by DrBeeee)

Suppose that a class of 30 students is assigned to write essay. 1) Suppose 4 essays are... (answered by user_dude2008)

EDITORIAL CORRECTION OF THE TABLE: The problem is as stated: Use the data in the... (answered by stanbon,orlandoandvanap)