Ultra high performance concrete (uhpc) is a relatively new construction material that offers strong adhesive properties with other materials. the authors of "adhesive power of ultra high performance concrete from a thermodynamic point of view" (j. of materials in civil engr., 2012: 1050-1058) investigated the intermolecular forces for uhpc connected to various substrates. as reported in the article, here are the work of adhesion measurements (in mj/m^2) for five samples of uhpc adhered to steel:
107.1 109.5 107.4 106.8 108.
1 is it plausible that the given sample observations were selected from a normal distribution?
2.calculate a two-sided 95% confidence interval the true average work of adhesion tor 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?

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?