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

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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?
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 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.
O 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.)
mJ/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 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.)
1) m³/m²
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 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.) mJ/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. O 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.) mJ/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 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.) 1) m³/m²
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