An experiment was conducted using a randomized block design. The data from the experiment are displayed in the table to the right. Complete parts a through e. a. Fill in the missing entries in the ANOVA table. Source df Treatments 2 SS 0.2222 2 OA. Ho: H₁ H2 H3 Ha: At least two treatments differ OC. Ho: H₁ H₂ H3 Ha: All treatments differ O E. Ho: H1 H2 H3 MS Ha: At least two blocks differ F Blocks Error 4 Total 8 44.2222 (Type integers or decimals rounded to four decimal places as needed.) b. Specify the null and alternative hypotheses you would use to investigate whether a difference exists among the treatment methods. Choose the correct answer below. ... c. What test statistic should be used in conducting the test of part b? F= (Round to two decimal places as needed.) OB. Ho: H1 H2 H3 Ha: All blocks differ OD. Ho: H₁ H₂ Hai Hy = H2 Treatment 1 2 3 OF. Ho: H1 H₂ Ha: H1 H₂ 1 3 4 2 Block 2 5 2 3 368 8

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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An experiment was conducted using a randomized block design. The data from the experiment are displayed in the table to
the right. Complete parts a through e.
O A. Ho: H₁ H₂ = μ3
Ha: At least two treatments differ
OC. Ho: H₁ H₂ = μ3
a. Fill in the missing entries in the ANOVA table.
Source
Treatments
df
2
SS
0.2222
Blocks
2
Error
4
Total
8
44.2222
(Type integers or decimals rounded to four decimal places as needed.)
b. Specify the null and alternative hypotheses you would use to investigate whether a difference exists among the treatment methods. Choose the correct answer below.
Ha: All treatments differ
E. Ho: H₁ H2 = μ3
Ha: At least two blocks differ
MS
F
c. What test statistic should be used in conducting the test of part b?
F= (Round to two decimal places as needed.)
O B. Ho: H₁ H₂ = μ3
Ha: All blocks differ
OD. Ho: H#H2
Hai H=H2
Treatment
1
2
3
OF. Ho: H₁ H₂
Hai Hy#H2
1
3
4
2
Block
2
5
2
3
3
6
8
8
Transcribed Image Text:An experiment was conducted using a randomized block design. The data from the experiment are displayed in the table to the right. Complete parts a through e. O A. Ho: H₁ H₂ = μ3 Ha: At least two treatments differ OC. Ho: H₁ H₂ = μ3 a. Fill in the missing entries in the ANOVA table. Source Treatments df 2 SS 0.2222 Blocks 2 Error 4 Total 8 44.2222 (Type integers or decimals rounded to four decimal places as needed.) b. Specify the null and alternative hypotheses you would use to investigate whether a difference exists among the treatment methods. Choose the correct answer below. Ha: All treatments differ E. Ho: H₁ H2 = μ3 Ha: At least two blocks differ MS F c. What test statistic should be used in conducting the test of part b? F= (Round to two decimal places as needed.) O B. Ho: H₁ H₂ = μ3 Ha: All blocks differ OD. Ho: H#H2 Hai H=H2 Treatment 1 2 3 OF. Ho: H₁ H₂ Hai Hy#H2 1 3 4 2 Block 2 5 2 3 3 6 8 8
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Follow-up Questions
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Follow-up Question
 
Conduct the hypothesis test of part b using
α=0.10.
Find the rejection region.
 
F>enter your response here
​(Round to two decimal places as​ needed.)
Calculate the​ p-value.
 
p=enter your response here
​(Round to four decimal places as​ needed.)
Determine a conclusion. Choose the correct answer below.
 
 
A.RejectH0.There isinsufficient evidence to conclude that a difference exists among the treatment methods.
B.
Fail to rejectH0.There issufficientevidence to conclude that a difference exists among the treatment methods.
 
C.
Fail to rejectH0.There isinsufficient evidence to conclude that a difference exists among the treatment methods.
 
D.RejectH0.There issufficient evidence to conclude that a difference exists among the treatment methods.
 
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