Please use the following information to answer questions3a-3h:

The following data summarize the results from an independent-measures study comparing three treatment conditions.

Treatment

I II III N= 12

4 3 8 G= 48

3 1 4 X² =238

5 3 6

4 1 6

x₁=4 x₂=2 x₃ =6

T₁ =16T₂ =8T₃ =24

SS₁ =2 SS₂ =4SS₃ =8

3a.Calculate the sample variance for treatment condition I(MUST SHOW WORK FOR THIS PROBLEM).

3b.Calculate the samplevariance for treatment condition II (MUST SHOW WORK FOR THIS PROBLEM).

3c.Calculate the samplevariance for treatment condition III (MUST SHOW WORK FOR THIS PROBLEM).

3d.Which of the following correctly represents the null and alternative hypothesis (MUST SHOW WORK FOR THIS PROBLEM)? Use an ANOVA with an= .05 to determine whether there are any significant differences among the three treatment means.

1. H_o:₁=₂=₃

H₁: ₁=₃, but₂is different

2. H_o:₁=₂=₃

H₁: At least one of the treatment means is different

3. H_o:_{1 23}

H₁:₁ =₂, but ₃ is different

4. H_o:₁=₂=₃

H₁:₁₂₃

3e.Which of the followingrepresents the propercritical region(MUST SHOW WORK FOR THIS PROBLEM).

1. F=3.49

2. F=3.98

3. F=19.38

4. F=4.26

3f.Compute the test statistic(F-ratio)(MUST SHOW WORK FOR THIS PROBLEM).

Note: Must also show work for SS,df,andMS values.

3g.Based on the calculated test statistic,would you reject the null hypothesis established in question 3d(MUST SHOW WORK FOR THIS PROBLEM)?

1. yes

2. no

3h.Based on the previously conducted steps,we canconclude(MUST SHOW WORK FOR THIS PROBLEM):

1. There is a significant difference between treatment condition II and the other two conditions,while there was no significant difference between treatment condition I and III

2. There is not a significant difference among the three treatments.

3. At least one of the three treatments significantly differs from the others.

4. There is a significant difference between treatment condition III and the other two conditions, while there was no significant difference between treatment condition I and II.