1. Ultra high-performance concrete (UHPC) is a relatively new construction material that is characterized by strong adhesive properties with other materials. The following data are the adhesion measurements (in mJ/m²) for UHPC specimens adhered to steel: 107.1, 109.5, 107.4, 106.8, 108.1. Assume that these sample observations were selected from a normal distribution.

• Calculate a two-sided 95% confidence interval for the true average work of adhesion for UHPC adhered to steel.
• 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 Part a).