Ultra high performance concrete (UHPC) is a relatively new construction material

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" described an investigation of the intermolecular forces for UHPC connected to various substrates. The following work of adhesion measurements (in mJ/m2) for UHPC specimens adhered to steel appeared in the article 107.1 109.5 1074 106.8 108.1 (a) Is it plausible that the given sample observations were selected from a normal distribution? o It's plausible that the distribution could be normal It's not plausible that the distribution could be normal. (b) Calculate a two-sided 95% confidence interval for the average work of adhesion for UHPC adhered to steel. (Round your answers to two decimal places.) ( . 109.12 )mvm2 106.44 Does the interval suggest that 107 is a plausible value for the true average work of adhesion for UHPC adhered to steel? o The interval suggests that 107 is a possible value for the true average. The interval doesn't suggest that 107 is a possible value for the true average Does the interval suggest that 111 is a plausible value for the true average work of adhesion for UHPC adhered to steel? The interval suggests that 111 is a possible value for the true average. o The interval doesn't suggest that 111 is a possible value for the true average. c) Predict the resulting work of adhesion value resulting from a single future replication of the experiment by calculatin a 95% prediction inte va Round your answers to two decima places. 10.31113x )mJ/m2 X111.3

Explanation / Answer

c)for prediction interval std error =std deviation*(1+1/n)1/2 =1.1783

hence

for 95 % CI value of t                                            = 2.7764 margin of error E=t*std error                            = 3.2715 lower prediction bound=sample mean-margin of error 104.51 Upper prediction bound=sample mean+margin of error 111.05

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