An experiment was conducted using a randomized block design. The data from the experiment are displayed in the table tothe right. Complete parts a through e.O A. Ho: H₁ H₂ = μ3Ha: At least two treatments differOC. Ho: H₁ H₂ = μ3a. Fill in the missing entries in the ANOVA table.SourceTreatmentsdf2SS0.2222Blocks2Error4Total844.2222(Type integers or decimals rounded to four decimal places as needed.)b. Specify the null and alternative hypotheses you would use to investigate whether a difference exists among the treatment methods. Choose the correct answer below.Ha: All treatments differE. Ho: H₁ H2 = μ3Ha: At least two blocks differMSFc. What test statistic should be used in conducting the test of part b?F= (Round to two decimal places as needed.)O B. Ho: H₁ H₂ = μ3Ha: All blocks differOD. Ho: H#H2Hai H=H2Treatment123OF. Ho: H₁ H₂Hai Hy#H21342Block25233688

Given the data asTreatmentBlock123135624283238a. The statistical model for a randomized block design iswhere : Grand mean: ith treatment effect : jth blocking effect: random errorThe row and column averages areTreatmentBlock123 Row Total1356144.6666672428144.6666673238134.333333 Column Total9102241 33.3333337.333333The number of treatments, The number of blocks, Total sample size, is the observation value for treatments in and blocks in . is the mean of the ith treatment is the mean of the jth blockGrand Total, Grand mean, The total sum of squares, The sum of squares from treatments, Degrees of freedom for treatments, The sum of squares from blocks, Degrees of freedom for blocks, Degrees of freedom for error, For treatments, For blocks, Therefore, the completed ANOVA table isSourcedfSSMSFTreatments20.22220.11110.0488Blocks234.888917.44447.6584Error49.11112.2778Total844.2222b. The null and alternative hypotheses are used to investigate whether a difference exists among the treatment methods: c. The test statistic, Decision rule: {using EXCEL}Consider, Conclusion: There is significant evidence that the treatment means are equal.a. The ANOVA table:SourcedfSSMSFTreatments20.22220.11110.0488Blocks234.888917.44447.6584Error49.11112.2778Total844.2222b. The null and alternative hypotheses are used to investigate whether a difference exists among the treatment methods:c. The test statistic,