e following data are from a completely randomized design. [Multiple choice with single answer]   Treatment A Treatment B Treatment C   30 40 40   36 38 40   33 38 36   32 42 34 Sample mean 32.75 39.5 37.5 Sample variance 6.25 3.6667 9 At the α = 0.05, test whether the means for the three treatments are equal. (A). Using F table, what is the most possible range of values of the p-value?  (a) 0.025

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
icon
Related questions
Question
100%

Q3. The following data are from a completely randomized design. [Multiple choice with single answer]

 

Treatment A

Treatment B

Treatment C

  30 40 40
  36 38 40
  33 38 36
  32 42 34

Sample mean

32.75 39.5 37.5

Sample variance

6.25 3.6667 9

At the α = 0.05, test whether the means for the three treatments are equal.

(A). Using F table, what is the most possible range of values of the p-value? 

(a) 0.025<p-value<0.1

(b) 0.025<p-value<0.05

(c) 0.05<p-value<0.1

(d) 0.01<p-value<0.05

(e) 0.01<p-value<0.025

(f) None of the above

(B). What is the Fisher’s LSD value? 

(a) 5.3236

(b) 3.3236

(c) 2.77

(d) 4.0164

(e) 5.3780

(f) None of the above

(C). Is there a significant difference between the means for treatments A and B?

(a) Yes, because 32.75≠39.5

(b) No, because 32.75<39.5

(c) No, because 6.75>LSD

(d) Yes, because -6.75<LSD

(e) Yes, because 6.75<LSD

(f) None of the above

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,