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 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? 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 answers to two decimal places.) mJ/m² 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. O The interval doesn't suggest that 107 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. two decimal places.) (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 [ mJ/m² Compare the width of this interval to the width of the CI from (b). O The PI is wider than the CI. O The two intervals are the same width. 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 will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.) mJ/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" 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? 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 answers to two decimal places.) mJ/m² 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. O The interval doesn't suggest that 107 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. two decimal places.) (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 [ mJ/m² Compare the width of this interval to the width of the CI from (b). O The PI is wider than the CI. O The two intervals are the same width. 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 will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.) mJ/m²
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q12
![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.
107.1 109.5 107.4 106.8 108.1
(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 answers to two decimal places.)
mJ/m²
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.
O The interval doesn't suggest that 107 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).
O The PI is wider than the CI.
O The two intervals are the same width.
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 will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.)
])mJ/m²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63a2672e-f44e-49ad-ac63-45b39b5df3ef%2Ff0c7c9f8-3273-4a02-818a-429543f2c259%2Fh29sjsl_processed.png&w=3840&q=75)
Transcribed Image Text: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.
107.1 109.5 107.4 106.8 108.1
(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 answers to two decimal places.)
mJ/m²
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.
O The interval doesn't suggest that 107 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).
O The PI is wider than the CI.
O The two intervals are the same width.
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 will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.)
])mJ/m²
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