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" (J. of Materials in Civil Engr., 2012: 1050-1058) 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 Assume the given sample observations were selected from a normal distribution. a) Calculate a two-sided 95% confidence interval for the true average work of adhesion for UHPC adhered to steel. Does the interval suggest that 107 is a plausible value for the true average work of adhesion for UHPC adhered to steel? What about 110? b) Predict the resulting work of adhesion value resulting from a single future replication of the experiment by calculating a 95% prediction interval and compare the width of this interval to the width of the CI from (a). c) Calculate an upper confidence bound with confidence level 95% for the population standard deviation of adhesion measurements. $ 694 4 NOV zoom 18 W MacBook Pro G Search or type URL % 205 9> & 87 7 + * ∞ 8 8 9 0 R T Y U 0 P

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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" (J. of
Materials in Civil Engr., 2012: 1050-1058) 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
Assume the given sample observations were selected from a normal distribution.
a)
Calculate a two-sided 95% confidence interval for the true average work of
adhesion for UHPC adhered to steel. Does the interval suggest that 107 is a plausible
value for the true average work of adhesion for UHPC adhered to steel? What about
110?
b) Predict the resulting work of adhesion value resulting from a single future
replication of the experiment by calculating a 95% prediction interval and compare
the width of this interval to the width of the CI from (a).
c)
Calculate an upper confidence bound with confidence level 95% for the
population standard deviation of adhesion measurements.
$
694
4
NOV
zoom
18
W
MacBook Pro
G Search or type URL
%
205
9>
&
87
7
+
* ∞
8
8
9
0
R
T
Y
U
0
P
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" (J. of Materials in Civil Engr., 2012: 1050-1058) 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 Assume the given sample observations were selected from a normal distribution. a) Calculate a two-sided 95% confidence interval for the true average work of adhesion for UHPC adhered to steel. Does the interval suggest that 107 is a plausible value for the true average work of adhesion for UHPC adhered to steel? What about 110? b) Predict the resulting work of adhesion value resulting from a single future replication of the experiment by calculating a 95% prediction interval and compare the width of this interval to the width of the CI from (a). c) Calculate an upper confidence bound with confidence level 95% for the population standard deviation of adhesion measurements. $ 694 4 NOV zoom 18 W MacBook Pro G Search or type URL % 205 9> & 87 7 + * ∞ 8 8 9 0 R T Y U 0 P
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