Ultra high performance concrete (uhpc) is a relatively new construction material that is characterized by strong adhesiveproperties with other materials. the article "adhesive power of ultra high performance concrete from a thermodynamicpoint of view' (j. of materials in civil engr., 2012 1050-1058) described an investigation of the intermolecular forces foruhpc connected to various substrates. the following work of adhesion measurements (in mj/m2) for uhpc specimensadhered to steel appeared in the article: 107.1 109.5 107.4 106.8 108.1a. is it plausible that the given sample observations were selected from a normal distribution? b. calculate a two-sided 95% confidence interval for the true average work of adhesion for uhpc adhered to steel. doesthe interval suggest that 107 is a plausible value for the true average work of adhesion for uhpc adhered to steel? whatabout 110? c predict the resulting work of adhesion value resulting from a single future replication of the experiment by calculating a95% prediction interval, and compare the width of this interval to the width ofthe ci from (b).d. calculate an interval for which you can have a high degree of confidence that at least 95% of all uhpc specimensadhered to steel will have work of adhesion values between the limits of the interval