Test for any significant difference in the mean examination score for the three plants. Use a = 0.05.State the null and alternative hypotheses.Hi H1 = H2 = HzHo: Not all the population means are equal.Hi H1 = H2 = H3O Ho: At least two of the population means are equal.: At least two of the population means are different.Ho: H1 = Hz = Mz: Not all the population means are equal.HaiO Ho: H1 = H2 = H3Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O Reject Ho. There is sufficient evidence to conclude that the means for the three plants are not equal.Reject H. There is not sufficient evidence to conclude that the means for the three plants are not equal.Do not reject Hp. There is sufficient evidence to conclude that the means for the three plants are not equal.Do not reject Ho: There is not sufficient evidence to conclude that the means for the three plants are not equal. A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees atthese plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selectedwere given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The samplemeans, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test thehypothesis that the mean examination score is the same for all three plants.Plant 1AtlantaPlant 2 Plant 3DallasSeattle847259747464827462777470717076868659Sample797565meanSamplevariance35.231.645.6Samplestandarddeviation5.935.626.75Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)SourceSumDegreesof FreedomMeanFp-valueof Variationof SquaresSquareTreatmentsErrorTotal

The claim of the test is to check whether there is any significant difference in the mean…

State the null and alternative hypotheses. O Hoi Hy # Hz# Hz Hi H1 = H2 = Hz O Ho: Not all the population means are equal. H3i Hy = Hz = Hz o: At least two of the population means are equal. : At least two of the population means are different. O Ho: Hq = Hz = H3 : Not all the population means are equal. O Hoi Hq = Hz = H3 Hgi Hy # Hz # Hz Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Hp. There is sufficient evidence to conclude that the means for the three plants are not equal. O Reject Ho. There is not sufficient evidence to conclude that the means for the three plants are not equal. O Do not reject H,. There is sufficient evidence to conclude that the means for the three plants are not equal. O Do not reject Họ. There is not sufficient evidence to conclude that the means for the three plants are not equal.