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In: Statistics and Probability

The following data are given for a two-factor ANOVA with two treatments and three blocks. Treatment...

The following data are given for a two-factor ANOVA with two treatments and three blocks.
Treatment
Block 1 2
A 46 31
B 37 26
C 44 35

Using the 0.05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ.

a. State the null and alternate hypotheses for treatments.
  H0 (Click to select)The standard deviations are different.The means are the same.The standard deviations are the same.The means are different.
  H1 (Click to select)The means are the same.The standard deviations are the same.The standard deviations are different.The means are different.
b. State the decision rule for treatments. (Round your answer to 1 decimal place.)
  (Click to select)Reject / Do not reject H0 if the test statistic is greater than .

  

c. State the null and alternate hypotheses for blocks. (Round your answer to 1 decimal place.)
  H0 (Click to select)The means are the same.The standard deviations are the same.The standard deviations are different. Atleast one mean is different.
  H1 (Click to select)The means are the same.The standard deviations are the same.The standard deviations are different.At least one mean is different.
Also, state the decision rule for blocks.
(Click to select)Reject/Do not reject H0 if the test statistic is greater than .
d. & e.

Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round SS, MS values to 3 decimal places, F value to 2 decimal places and Total to 4 decimal places.)

  Source SS df MS F
  Treatments                        
  Blocks                        
  Error                  
  Total            

  

f. Give your decision regarding the two sets of hypotheses.
  Decision: Treatments. (Click to select)Reject/Do not reject H0
  Decision: Blocks. (Click to select)Do not reject/Reject H0

Please provide formulas and step by step details of getting the answers please.

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