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Test the hypothesis that the treatment means

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Reference no: EM132464293

Problem: The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the 0.05 significance level.

Treatment 1 Treatment 2 Treatment 3

3 9 6

2 6 3

5 5 5

1 6 5

3 8 5

1 5 4

4 1

7 5

6

4

a. State the null hypothesis and the alternate hypothesis.

HO: µ1____ µ2_____ µ3____

H1: Treatment means_________ all the same.

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

Reject HO if F >______

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

ssT=                            ssE=                               SStotal=

d.  Compute an ANOVA table. (Round SS, MS, and F values to 2 decimal places.)

Source ss               df              MS        F

Treatments

Error

Total

e. State your decision regarding the null hypothesis.

Decision:_________________Ho

f. Find the 95% confidence interval for the difference between treatment 2 and 3. (Round your answers to 2 decimal places.)

95% confidence interval is:________ +-_________

We can conclude that the treatments 2 and 3 are________

Reference no: EM132464293

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