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 m3/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 answers to two decimal places.) 7. ma/m² Does the interval suggest that 108 is a plausible value for the true average work of adhesion for UHPC adhered to steel? The interval suggests that 108 is a possible value for the true average The interval doesn't suggest that 108 is a possible value for the true average. Does the interval suggest that 110 is a plausible value for the true average work of adhesion for UHPC adhered to steel? O The interval suggests that 110 is a possible value for the true average. The interval doesn't suggest that 110 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.) ma/m² Compare the width of this interval to the width of the CI from (b). O The two intervals are the same width. The PI is wider than the CI. O The CI is wider than the P1. ✓ (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 will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.) 1) ma/m²
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 m3/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 answers to two decimal places.) 7. ma/m² Does the interval suggest that 108 is a plausible value for the true average work of adhesion for UHPC adhered to steel? The interval suggests that 108 is a possible value for the true average The interval doesn't suggest that 108 is a possible value for the true average. Does the interval suggest that 110 is a plausible value for the true average work of adhesion for UHPC adhered to steel? O The interval suggests that 110 is a possible value for the true average. The interval doesn't suggest that 110 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.) ma/m² Compare the width of this interval to the width of the CI from (b). O The two intervals are the same width. The PI is wider than the CI. O The CI is wider than the P1. ✓ (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 will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.) 1) ma/m²
A First Course in Probability (10th Edition)
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...
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