Ultra high performance concrete (UHPC) is a relatively new construction material that is characterized by strong adhesive properties with othermaterials. The article "Adhesive Power of Ultra High Performance Concrete from a Thermodynamic Point of View"+ described an investigation ofthe intermolecular forces for UHPC connected to various substrates. The following work of adhesion measurements (in mJ/m²) for UHPCspecimens adhered to steel appeared in the article.107.1 109.5 107.4 106.8 108.1(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.O It's not plausible that the distribution could be normal.(b) Calculate a two-sided 95% confidence interval for the true average work of adhesion for UHPC adhered to steel. (Round your answersto two decimal places.)1) mJ/m²Does the interval suggest that 109 is a plausible value for the true average work of adhesion for UHPC adhered to steel?The interval suggests that 109 is a possible value for the true average.O The interval doesn't suggest that 109 is a possible value for the true average.Does the interval suggest that 112 is a plausible value for the true average work of adhesion for UHPC adhered to steel?O The interval suggests that 112 is a possible value for the true average.O The interval doesn't suggest that 112 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 calculating a 95%prediction interval. (Round your answers to two decimal places.)_mJ/m²2Compare the width of this interval to the width of the CI from (b).O The two intervals are the same width.O The PI is wider than the CI.o The CI is wider than the PI.(d) Calculate an interval for which you can have a high degree of confidence that at least 95% of all UHPC specimens adhered to steel willhave work of adhesion values between the limits of the interval. (Round your answers to two decimal places.)mJ/m²

For the given data Find 95% confidence interval 95% Prediction interval

Jltra 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. 107.1 109.5 107.4 106.8 108.1 (a) Is it plausible that the given sample observations were selected from a normal distribution? It's plausible that the distribution could be normal. O It's not plausible that the distribution could be normal. (b) Calculate a two-sided 95% confidence interval for the true average work of adhesion for UHPC adhered to steel. (Round your answer to two decimal places.) 7) m³/m² Does the interval suggest that 109 is a plausible value for the true average work of adhesion for UHPC adhered to steel? O The interval suggests that 109 is a possible value for the true average. The interval doesn't suggest that 109 is a possible value for the true average. Does the interval suggest that 112 is a plausible value for the true average work of adhesion for UHPC adhered to steel? O The interval suggests that 112 is a possible value for the true average. O The interval doesn't suggest that 112 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 calculating a 95% prediction interval. (Round your answers to two decimal places.) m³/m² Compare the width of this interval to the width of the CI from (b). The two intervals are the same width. o The PI is wider than the CI. O The CI is wider than the PI.

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...