Question

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). If the answer is zero enter "0".

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
Treatments 1400
Error
Total 1800

At a .05 level of significance, is there a significant difference between the treatments?

The p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 9

What is your conclusion?

Homework Answers

Answer #1

df treatments = k -1 = 3 - 1 =2

df error = N-k = (12+15+20) - 3 = 44

df total = N-1 = 47-1= 46

means square = SS/df

Fstat = MS treatment/MSerror = 700/90.09=77

p-value = 0.0000

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
Treatments 1400.0 2 700.0000 77.0000 0.0000
Error 400.0 44 9.0909
Total 1800.0 46

p-value is less than 0.01

reject Ho,

there is a significant difference between the treatments at α=0.05

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,200 Error Total 1,800 At a .05 level of significance, is there a significant difference between the treatments? The -value is - Select...
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). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1100 Error 700 44 xx xxxx Total 1800 xx xxx
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). If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 1,300 Error Total 2,100 At a .05 level of significance, is there a significant difference between the treatments? The p-value is What is your...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment A B C 1 10 10 9 2 13 6 6 Blocks 3 18 16 15 4 21 18 19 5 8 8 9 Use = .05 to test for any significant differences. Show entries to 2 decimals, if necessary. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean...
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32...
The following data are from a completely randomized design. Treatment Treatment Treatment A B C 32 46 33 30 45 36 30 46 35 26 48 36 32 50 40 Sample mean 30 47 36 Sample variance 6 4 6.5 At the  = .05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? Compute the values below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares,...
In a completely randomized design, 10 experimental units were used for the first treatment, 12 for...
In a completely randomized design, 10 experimental units were used for the first treatment, 12 for the second treatment, and 19 for the third treatment. Sum of Squares due to Treatments and Sum of Squares Total is computed as 1100 and 1700 respectively. Prepare the ANOVA table and complete the same (fill out all the cells). State the Hypotheses. At a .05 level of significance, is there a significant difference between the treatments? Use both p-Value and Critical-Value approaches. Please...
In an experiment designed to test the output levels of three different treatments, the following results...
In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST= 420 SSTR=150 NT=19. Set up the ANOVA table and test for any significant difference between the mean output levels of the three treatments. Use A=.05. Source of Variation Sum of Squares Degrees of Freedom Mean Square (to 2 decimals) (to 2 decimals) -value (to 4 decimals) Treatments 150 Error Total 420 The P-value is - Select your answer -less than .01between...
In a completely randomized design, eight experimental units were used for each of the five levels...
In a completely randomized design, eight experimental units were used for each of the five levels of the factor. Complete the following ANOVA table. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 360 Error Total 470
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). 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 300 Error Total 460 What hypotheses are implied in this problem? h 0: SelectAll five treatment means are equa or lNot all five treatment...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT