Use this information to answer the following 7 related quest

Use this information to answer the following 7 related questions:

In a completely randomized design, ten subjects were assigned to each of four treatments of factor. Below is the partially completed ANOVA table.

Source

DF

Sum of Squares

Mean Square

F

P-value

Treatment

856.07

Error

Total

1177.97

Question 14

What is the null hypothesis implied in this problem?

Select one:

a. ₁=₁=₃=₄

b. ₁=₂=...=₁₀

Question 15

What is the DF for treatment?

Answer:

Question 16

What is the DF for Error?

Answer

Question 17

What is MSTR?

Select one:

a. 8.94

b. 285.36

c. 856.07

d. 321.9

Question 18

What is the value of the F-statistic?

Select one:

a. 36

b. 2.66

c. 31.91

d. 0.03

Question 19

What is the p-value?

Select one:

a. 0

b. 0.04

c. 0.06

d. 0.99

Question 20

At the 1% level of significance,

Select one:

a. We reject the null hypothesis

b. We do not reject the null hypothesis

Source	DF	Sum of Squares	Mean Square	F	P-value
Treatment		856.07
Error
Total		1177.97

Solution

Question 14. A

Question 15. 3

Question 16. Degrees of freedom for error = 36

Question 17. MSTR = 856.07/3= 285.36

Question 18. SSE = 1177.97 - 856.07 = 321.9

MSSE = 321.9/36 = 8.942

Therefore, F statistic= 285.36/8.942 = 31.92.

Question 19. P value = 0

Question 20. Since P value < 0.01. We reject the null hypothesis.