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Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.

Treatment 1

Treatment 2

Treatment 3

8          

3

3

11          

2

4

10          

1

5

 

3

4

b)

What is the decision rule? (Round your answer to 2 decimal places.)

  Reject Ho if F >

  

Compute SST, SSE, and SS total. (Round your answers to 2 decimal places.)

 

 

  SST

  

  SSE

  

 

  SS total

  

 

(d)

Complete an ANOVA table. (Round F, SS to 2 decimal places and MS to 3 decimal places.)

  Source

SS

df

MS

F

  Treatments

   

   

   

   

  Error

   

   

   

 

 

 

 

  Total

   

   

4. Suppose the manufacturer of Advil, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a sample of 270 current users is asked to try it. After a one-month trial, 251 indicated the new drug was more effective in relieving a headache. At the same time a sample of 390 current Advil users is given the current drug but told it is the new formulation. From this group, 352 said it was an improvement.

(1)

State the decision rule for .01 significance level: H0: πn ≤ πc; H1: πn > πc. (Round your answer to 2 decimal places.)

  Reject H0 if z > 

(2)

Compute the value of the test statistic. (Do not round the intermediate value. Round your answer to 2 decimal places.)

  Value of the test statistic

  

(3)

Can we conclude that the new drug is more effective? Use the .01 significance level.

   H0. We  conclude that the new drug is more effective.

Do not rejected

cannot