ANOVA Application Part I: You are investigating the strength of concrete for fou

Question

ANOVA Application

Part I: You are investigating the strength of concrete for four different ratios of sand and Portland cement;  you label them Ratio A, Ratio B, Ratio C, and Ratio D. You create 8 different samples for each ratio, and then test their compressive strength, giving the data in the following:

. Are the strengths of the different ratios different?

A) There is a difference between ratios

B) There is no difference between ratios.

Part II: What is the P-Value associated with your decision in the above problem?

A) 0.001

B) 0.006

C) 0.039

D) 0.058

E) 0.164

F) 0.194

G) 0.219

H) 0.243

I) 0.256

J) 0.269

Ratio A Ratio B Ratio C Ratio D 3884.96 4042.32 4210.85 4058.82 4060.62 4232.69 4012.16 4008.19 4005.86 4041.28 4137.98 3942.65 4001.32 3970.56 4209.79 3973.6 4003.48 4159.29 4152.64 3957.82 3863.47 4009.92 4207.08 3960.11 3953.09 4049.26 3962.37 4001.51 4005.45 4102.1 4135.43 3990.74

Explanation / Answer

Given Data

Result

since p-value is 0.000502 = 0.001

hence A) 0.001 is correct

sicne p-value is less than 0.05

we reject the null hypothesis and conclude that

There is a difference between ratios

hence option A )si correct

3884.96 4042.32 4210.85 4058.82 4060.62 4232.69 4012.16 4008.19 4005.86 4041.28 4137.98 3942.65 4001.32 3970.56 4209.79 3973.6 4003.48 4159.29 4152.64 3957.82 3863.47 4009.92 4207.08 3960.11 3953.09 4049.26 3962.37 4001.51 4005.45 4102.1 4135.43 3990.74

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