Question

# 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 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.
1. 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 ____.

1. 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
1. 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

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