## Question 718:

1## Answer:

No answer provided yet.We need to use the formula for a z-score to figure out what the minimum score at Lamar High School is and whether these students will make the cut. The formula is (data-point-mean)/standard deviation =z-score. First we will find the z-scores for each student.Bill:

- (87-85)/5 = .4
- We need to lookup the 1-sided area for a z-score of .4 using a normal table or the excel function = NORMSDIST(.4) and we get the area of .6554. meaning bill is in the 65.5th percentile--so he doesn't make the cut.

- (95-85)/5 = 2.2
- We need to lookup the 1-sided area for a z-score of 2.2 using a normal table or the excel function = NORMSDIST(2.2) and we get the area of .9861. meaning Mary is in the 98.61th percentile--so she DOES make the cut.

- (min score - 85)/5 = 1.28152
- (min score - 85) = 6.407758
- min score = 91.40776