agents on the strength of a Problem 4) A chemist wishes to test the effect of fo

Question

agents on the strength of a Problem 4) A chemist wishes to test the effect of four chemical particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths follow. Analyze the data from this experiment (use -0.05) and draw appropriate conclusions. Bolt Chemica 2 73 6S 73 67 75 72 70 75 68 78 73 68 73 71 75 75 69 4 71 67

Explanation / Answer

Hypothesis,

The hypotheses of interest in an ANOVA are as follows:

for Groups,

where k = the number of independent comparison groups.

for blocks,

enter data in excel as

and go to data analysis> ANOVA two factor without replication

enter data,

the excel output as ,

Source of Variation

SS

df

MS

F

P-value

F crit

Rows

12.95

3

4.316667

2.376147

0.121144

3.490295

Columns

157

4

39.25

21.6055

2.06E-05

3.259167

Error

21.8

12

1.816667

Total

191.75

19

Bolt- here p-value for BOLt are significant so conclusion is, there is significant diffreant between the all 5 BOLT

Chemical- p-value is insignificant so we can conclude that there is no diffrean between all chemical effects

thanks you.

BOLT1 BOLT2 BOLT3 BOLT4 BOLT5 CHEM1 73 68 74 71 67 CHEM2 73 67 75 72 70 CHEM3 75 68 78 73 68 CHEM4 73 71 75 75 69

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