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following data are from a completely randomized design. Sample mean Sample variance HO: HAMB="C Ha: HA HB HC # Treatment Treatment A B HO: MAHB #MC Ha: "A = B = "C 32 30 30 27 31 30 3.50 43 44 44 47 47 45 3.50 Treatment с 32 Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 37 36 36 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. Ho: MA= B = "C Ha: Not all the population means are equal. Find the p-value. (Round your answer to three decimal places.) p-value = 39 36 6.50 Ho: Not all the population means are equal. Ha: HA= B = "C Find the value of the test statistic. (Round your answer to two decimal places.) State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not 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 Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

following data are from a completely randomized design. Sample mean Sample variance HO: HAMB="C Ha: HA HB HC # Treatment Treatment A B HO: MAHB #MC Ha: "A = B = "C 32 30 30 27 31 30 3.50 43 44 44 47 47 45 3.50 Treatment с 32 Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 37 36 36 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. Ho: MA= B = "C Ha: Not all the population means are equal. Find the p-value. (Round your answer to three decimal places.) p-value = 39 36 6.50 Ho: Not all the population means are equal. Ha: HA= B = "C Find the value of the test statistic. (Round your answer to two decimal places.) State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not 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 Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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The following data are from a completely randomized design. Sample mean Sample variance HO: HA = B = μC Ha: MAMB MC Treatment Treatment A B HO: MA MB MC # Ha: μA = μB = μC 32 30 30 27 31 30 3.50 43 44 44 47 47 45 3.50 Treatment C 32 Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 37 36 36 (a) At the α = 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 HA = HB = AC Ha: Not all the population means are equal. 39 Find the p-value. (Round your answer to three decimal places.) p-value = 36 6.50 Ho: Not all the population means are equal. Ha: MAMB="C Find the value of the test statistic. (Round your answer to two decimal places.) State your conclusion. 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. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.
Transcribed Image Text:The following data are from a completely randomized design. Sample mean Sample variance HO: HA = B = μC Ha: MAMB MC Treatment Treatment A B HO: MA MB MC # Ha: μA = μB = μC 32 30 30 27 31 30 3.50 43 44 44 47 47 45 3.50 Treatment C 32 Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 37 36 36 (a) At the α = 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 HA = HB = AC Ha: Not all the population means are equal. 39 Find the p-value. (Round your answer to three decimal places.) p-value = 36 6.50 Ho: Not all the population means are equal. Ha: MAMB="C Find the value of the test statistic. (Round your answer to two decimal places.) State your conclusion. 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. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is 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 α = 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. XA - XB XA - XC XB-XC = = = 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 XA - XB. Round your answers to two decimal places.) to
Transcribed Image Text:(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 α = 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. XA - XB XA - XC XB-XC = = = 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 XA - XB. Round your answers to two decimal places.) to
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