Question

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

	Treatment
Block	1	2
A	42	32
B	33	20
C	48	39

  

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

1. State the null and alternate hypotheses for treatments.

H0 options:

• The means are different.
• The means are the same.
• The standard deviations are different.
• The standard deviations are the same.

H1 options:

• The means are different.
• The means are the same.
• The standard deviations are different.
• The standard deviations are the same.

2. State the decision rule for treatments. (Round your answer to 1 decimal place.)

Reject or Do not reject H0 if the test statistic is greater than ____.

3. State the null and alternate hypotheses for blocks. (Round your answer to 1 decimal place.)

H0 options:

• At least one mean is different.
• The means are the same.
• The standard deviations are different.
• The standard deviations are the same.

H1 options:

• At least one mean is different.
• The means are the same.
• The standard deviations are different.
• The standard deviations are the same.

Also, state the decision rule for blocks.

Reject or Do not reject H0 if the test statistic is greater than ____.

1. d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, MS values to 3 decimal places and F value to 2 decimal places.)

Source	SS	df	MS	F
Treatments
Blocks
Error
Total

6. Give your decision regarding the two sets of hypotheses.

Decision: Treatments	Reject or Do not Reject H0
Decision: Blocks	Reject or Do not Reject H0

Answer 1