Assign a value to each outcome, +1 for outcomes that you believe are valuable, -1 for outcomes that you believe are costly, and 0 for outcomes that are neither valuable nor costly. Calculate the value of the decision strategy, and compare the value to hiring 12 teachers selected randomly from the applicant pool.

Unit 4 Exercise Evaluating Decisions A school district has developed a teaching proficiency scale based on: (a) improvements in student achievement, (b) rating by peers and (c) ratings by administrators. The district data indicates that teachers who, at the end of their 3rd year, attain ratings of 3 or higher on the teaching proficiency scale are likely to have fewer discipline problems with students, to interact well with students' parent and are less likely to suffer from teacher-burn-out. The state department of education requires all applicants for a teaching certification to take a nationally normed teacher certification examination. Figure 1 is a scatter plot (shown below) that shows the relationship between the teacher certification test and the 3rd year teaching proficiency scale for the last 30 teachers hired by the district. Table 1 shows the data from this group of teachers. The correlation between the teacher certification examination and the teacher proficiency scale is 0.523. Figure 1 5.5. 4.5 o o o0 0 Teacher Proficiency o OO O O i N in w in O o OOO O O o o O 51 20 30 40 50 60 70 80 90 100 Certification ExaminationTable 1 Applicant Gender Certification Test Teacher Proficiency Scale Male 30 Male 40 Female 45 Male 45 Female 50 3 Male 53 3 Male 55 Male - N 56 Female 50 Male 61 Male 53 Male 55 Male 58 Male 58 Male 70 Male 73 Female 74 Male 74 Female 75 Female 76 WUUAW HADWWNNW ANANWN Female 77 Female 78 Female 78 Female 80 Female 81 Female 82 Female 35 Male 37 Female 90 Female 95