True or False 1. In a completely randomized experimental design with 10 treatments, if the sample...

True or False

1. In a completely randomized experimental design with 10 treatments, if the sample size (n) is 40 and α = 0.05, then tukey’s critical value is q_α = 4.82.

2. The Chi-Square distribution is a right-skewed distribution that is dependent on two degrees of freedom (the numerator df and the denominator df).

Solutions

Expert Solution

Solution:

1. In a completely randomized experimental design with 10 treatments, if the sample size (n) is 40 and α = 0.05, then Tukey's critical value is q_α = 4.82.

Answer: This statement is TRUE.

The Tukey's critical value for k = 10 and df_w=n-k = 40-10 = 30 at is:

2. The Chi-Square distribution is a right-skewed distribution that is dependent on two degrees of freedom (the numerator df and the denominator df).

Answer: The statement is False.

The chi-square distribution depends on n - 1 degrees of freedom. There are no numerator df and denominator df in chi-square distribution.

milcah answered 2 months ago

Next > < Previous

Related Solutions

A split-plot experiment was conducted in a completely randomized design with whole-plot treatments as a 2x2...

A split-plot experiment was conducted in a completely randomized design with whole-plot treatments as a 2x2 factorial (factors A and B) and the subplot treatments as three levels of factor C. There are four whole-plot replicants per whole plot treatment. Assume all treatment effects were fixed and include all interactions between factors. Write the linear model for the experiment. Identify each of the model effects/components and list the number of levels for each effect. Make sure to specify which effects...

A split-plot experiment was conducted in a completely randomized design with whole-plot treatments as a 2x2...

A split-plot experiment was conducted in a completely randomized design with whole-plot treatments as a 2x2 factorial (factors A and B) and the subplot treatments as three levels of factor C. There are four whole-plot replicants per whole plot treatment. Assume all treatment effects were fixed and include all interactions between factors. 1. Write the linear model for the experiment. Identify each of the model effects/components and list the number of levels for each effect. Make sure to specify which...

In a completely randomized design, six experimental units were used for each of the three levels...

In a completely randomized design, six experimental units were used for each of the three levels of the factor. (2 points each; 6 points total) Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatment Error 432076.5 Total 675643.3 Complete the ANOVA table. Find the critical value at the 0.05 level of significance from the F table for testing whether the population means for the three levels of the factors are different. Use the critical value approach...

In a completely randomized design, seven experimental units were used for each of the five levels...

In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Complete the following ANOVA table (to 2 decimals, if necessary). If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total a. What hypotheses are implied in this problem : - Select your answer -Not all five treatment means are equalAll five treatment means are equalItem 9 : -...

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,300 Error Total 1,800 At a .05 level of significance, is there a significant difference between the...

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,300 Error Total 2,000 At a .05 level of significance, is there a significant difference between the...

In a completely randomized design, 11 experimental units were used for the first treatment, 19 for...

In a completely randomized design, 11 experimental units were used for the first treatment, 19 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,500 Error Total 2,100 At a 0.05 level of significance, is there a significant difference between the...

In a completely randomized design, six experimental units were used for each of the three levels...

7) In a completely randomized design, 4 experimental units were used for each of the seven...

7) In a completely randomized design, 4 experimental units were used for each of the seven levels of the factor. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatment 385.12 Error Total 1563.71 Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatment 385.12 Error Total 1563.71 i. Complete the ANOVA table. ii. Find the F critical, and use the critical value approach at α = 0.05 to test whether the population means...

3. In a completely randomized design, 7 experimental units were used for each of the three...

3. In a completely randomized design, 7 experimental units were used for each of the three levels of the factor. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatment Error(within treatment) 432076.5 Total 675643.3 a. Complete the ANOVA table. b. Find the critical value at the 0.05 level of significance from the F table for testing whether the population means for the three levels of the factors are different. c. Use the critical value approach...

Subjects