The following data are from a completely randomized design. Treatment Treatment A Treatment с B 32 44 33 30 43 36 30 44
Posted: Mon May 09, 2022 12:59 pm
The following data are from a completely randomized design. Treatment Treatment A Treatment с B 32 44 33 30 43 36 30 44 35 26 46 36 32 48 40 Sample mean 30 45 36 Sample variance 6.00 4.00 6.50 (a) At the a-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, Оно идчив не на идивис Оно: дивис Нид Ив" не O Ho: Not all the population means are equal. Ниде в с O Hoi At least two of the population means are equal. Hoi At least two of the population means are different но или не Ho Not all the population means are equal.
all the population means are equal. Find the value of the test statistic (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O 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. O Do not 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. (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 Find the pairwise absolute difference between sample means for each pair of treatments. A- * - Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments A and B. 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. (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-Xg. Round your answers to two decimal places.) to
all the population means are equal. Find the value of the test statistic (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O 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. O Do not 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. (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 Find the pairwise absolute difference between sample means for each pair of treatments. A- * - Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments A and B. 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. (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-Xg. Round your answers to two decimal places.) to