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The following data were collected for a 2-factor ANOVA with 2 treatments and 3 blocks: | Block | Treatment 1 | Treatment 2 | |-------|-------------|-------------| | A | 49 | 31 | | B | 36 | 27 | | C | 43 | 30 | Using the 0.05 significance level, conduct a test of hypothesis to determine whether the block or the treatment means differ. A) **State the decision rule for treatment** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. B) **State the decision rule for blocks** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. C) **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, & p-value total to 4 decimal places): | Source | SS | df | MS | F | p-value | |-----------|------|-----|------|-----|----------| | Treatment | | | | | | | Blocks | | | | | | | Error | | | | | | | Total | | | | | |

The following data were collected for a 2-factor ANOVA with 2 treatments and 3 blocks: | Block | Treatment 1 | Treatment 2 | |-------|-------------|-------------| | A | 49 | 31 | | B | 36 | 27 | | C | 43 | 30 | Using the 0.05 significance level, conduct a test of hypothesis to determine whether the block or the treatment means differ. A) **State the decision rule for treatment** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. B) **State the decision rule for blocks** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. C) **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, & p-value total to 4 decimal places): | Source | SS | df | MS | F | p-value | |-----------|------|-----|------|-----|----------| | Treatment | | | | | | | Blocks | | | | | | | Error | | | | | | | Total | | | | | |

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The following data were collected for a 2-factor ANOVA with 2 treatments and 3 blocks: | Block | Treatment 1 | Treatment 2 | |-------|-------------|-------------| | A | 49 | 31 | | B | 36 | 27 | | C | 43 | 30 | Using the 0.05 significance level, conduct a test of hypothesis to determine whether the block or the treatment means differ. A) **State the decision rule for treatment** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. B) **State the decision rule for blocks** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. C) **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, & p-value total to 4 decimal places): | Source | SS | df | MS | F | p-value | |-----------|------|-----|------|-----|----------| | Treatment | | | | | | | Blocks | | | | | | | Error | | | | | | | Total | | | | | |
Transcribed Image Text:The following data were collected for a 2-factor ANOVA with 2 treatments and 3 blocks: | Block | Treatment 1 | Treatment 2 | |-------|-------------|-------------| | A | 49 | 31 | | B | 36 | 27 | | C | 43 | 30 | Using the 0.05 significance level, conduct a test of hypothesis to determine whether the block or the treatment means differ. A) **State the decision rule for treatment** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. B) **State the decision rule for blocks** (Round 1 decimal place): Reject \( H_0 \) if the test statistic is greater than ______. C) **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, & p-value total to 4 decimal places): | Source | SS | df | MS | F | p-value | |-----------|------|-----|------|-----|----------| | Treatment | | | | | | | Blocks | | | | | | | Error | | | | | | | Total | | | | | |
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