Question

70cm 100cm
6.7 6.8
7.9 10.1
9.9 9.7
12.9 14.1
11.1 12.1
12.3 16.7
8.9 11.1

10.9 12.5

An experiment was conducted to study the effect of reinforced flanges on the torsional capacity of reinforced concrete T-beams. Two types of beams were tested under combined torsion and bending until cracking failure; one with 70 cm flange width and one with 100 cm flange width.

a. State the correct hypotheses, and conduct the hypotheses test at ? = 0.05 for difference inthe torsional capacity for the two beam types.

Answer 1

Let 70 cm flange width=x₁

100 cm flange width=x₂

Sample means

Sample variances

population means

population Standard deviations

The Null Hypothesis

The alternative Hypothesis

I have conducted it in MINITAB 17 software.

Steps:

1. Enter the data in two columns
2. Stat
3. Basic Statistics
4. 2 Sampled t
5. ENTER the Data as follows   
6. Options
7. ENTER the Data as follows  
8. ok
9. ok

output

]

As p value is <0.05 we woul accept the null hypothesis and conclude that no difference inthe torsional capacity for the two beam types.