Ultra high performance concrete (UHPC) is a relatively new construction material
ID: 3150851 • Letter: U
Question
Ultra high performance concrete (UHPC) is a relatively new construction material that is characterized by strong adhesive properties with other materials. The article "Adhesive Power of Ultra High Performance Concrete from a Thermodynamic Point of View"t described an investigation of the intermolecular forces for UHPC connected to various substrates. The following work of adhesion measurements (in mJ/m^2) for UHPC specimens adhered to steel appeared in the article. 107.1 109.5 107.4 106.8 108.1 (c) Predict the resulting work of adhesion value resulting from a single future replication of the experiment by calculating a 95% prediction interval. (Round your answers to two decimal places.) (.) mJ/m^2 Compare the width of this interval to the width of the CI from (b). The PI is wider than the CI. The two intervals are the same width. The Clis wider than the PI.Explanation / Answer
Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=107.78
Standard deviation( sd )=1.0756
Sample Size(n)=5
Confidence Interval = [ 107.78 ± t a/2 ( 1.0756/ Sqrt ( 5) ) ]
= [ 107.78 - 2.776 * (0.481) , 107.78 + 2.776 * (0.481) ]
= [ 106.45,109.12]
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