The dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted at reading and writing as well as math. she wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the gre (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. the national average for the verbal reasoning gre score for engineering students was 150 with a standard deviation of 9. a random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning gre score of 153. what is the value of the test statistic used to determine whether the mean verbal reasoning gre score of the engineering graduate students at the technical university is higher than the national average?

136.33

−136.33

2.33

−2.33

Simplify the expression. -2/5(10+15m-20n)

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The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.