e following data are from a completely randomized design. [Multiple choice with single answer]   Treatment A Treatment B Treatment C   30 40 40   36 38 40   33 38 36   32 42 34 Sample mean 32.75 39.5 37.5 Sample variance 6.25 3.6667 9 At the α = 0.05, test whether the means for the three treatments are equal. (A). Using F table, what is the most possible range of values of the p-value?  (a) 0.025

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Q3. The following data are from a completely randomized design. [Multiple choice with single answer]

 

Treatment A

Treatment B

Treatment C

  30 40 40
  36 38 40
  33 38 36
  32 42 34

Sample mean

32.75 39.5 37.5

Sample variance

6.25 3.6667 9

At the α = 0.05, test whether the means for the three treatments are equal.

(A). Using F table, what is the most possible range of values of the p-value? 

(a) 0.025<p-value<0.1

(b) 0.025<p-value<0.05

(c) 0.05<p-value<0.1

(d) 0.01<p-value<0.05

(e) 0.01<p-value<0.025

(f) None of the above

(B). What is the Fisher’s LSD value? 

(a) 5.3236

(b) 3.3236

(c) 2.77

(d) 4.0164

(e) 5.3780

(f) None of the above

(C). Is there a significant difference between the means for treatments A and B?

(a) Yes, because 32.75≠39.5

(b) No, because 32.75<39.5

(c) No, because 6.75>LSD

(d) Yes, because -6.75<LSD

(e) Yes, because 6.75<LSD

(f) None of the above

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