The following data are from a completely randomized design.
(b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use a = 0.05. Find the value of LSD. (Round your answer to two decimal places.) LSD = -19.13 X Find the pairwise absolute difference between sample means for each pair of treatments. FA - KB| - 1 XA - XC= KB - XC= Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments A and B. O There is a significant difference between the means for treatments A and C. There is a significant difference between the means for treatments B and C. There are no significant differences. X (c) Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B. (Use x. - Xp. Round your answers to two decimal places.) -10.87 x to -19.13 XTreatment Treatment Treatment A 31 32 24 42 35 24 45 35 25 40 35 30 43 Sample mean 24 4 4 35 Sample variance 3.50 2.50 4. 50 ( a) At the * = 0. 05 level of significance , can we reject the null hypothesis that the means of the three treatments are equal ?" State the null and alternative hypotheses O' Ho : Not all the population means are equal . He : HA = ME = ME O HO : HA * ME F HE H_ : HA = ME = HE ` HO : HA = ME = HE H : Not all the population means are equal . O HO : HA = HE = HE HE : HA THE F HE @ Ho : At least two of the population means are equal . H : At least two of the population means are different . Find the value of the test statistic . ( Round your answer to two decimal places ." Find the ` -value . ( Round your answer to three decimal places . ] D - Value =\\ 1.EZE - 15 State your conclusion . @ Reject Ho . There is sufficient evidence to conclude that the means of the three treatments are not equal . O' Do not reject Ho . There is not sufficient Evidence to conclude that the means of the three treatments are not Equal . O' Do not reject Ho . There is sufficient evidence to conclude that the means of the three treatments are not equal . O Reject Ho . There is not sufficient evidence to conclude that the means of the three treatments are not equal