Reference no: EM132367411

1. Scores on a uni exam are normally distributed with a mean of 78 and sd of 8. The professor teaching the class declares that a score of 70 or higher is required for a grade of at least a C. Using the 68-95-99.7 rule, what percentage students scored below a 62?

a) 2.5%

b) 5%

c) 32%

d) 16%

2. A high profile consulting company chooses its new entry level employees from a pool of recent college graduates using a five step interview process. Unfortunately there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs from the successful interviewees are normally distributed with a mean of 3.3 and a standard deviation of 0.4. What proportion of candidates have a GPA under 3.0?

a) 0.023

b) 0.773

c) 0.551

d) 0.227

3. Heights of college women have a distribution that can be approximated by a normal curve with a mean of 65 inches and a SD equal to 3 inches. About what proportion of college women are between 65 and 67 inches tall?

a) 0.17

b) 0.75

c) 0.50

d) 0.25

4. Scores on a university exam are normally distributed with a mean of 78 and SD of 8. The professor teaching the class ddeclaires that a score of 70 or higher is requiredd for a grade of at least 'C'. Using R, the area under the standard normal curve corresponding to Z<-1.62 is

a) 0.9956

b) 0.0044

c) 0.9474

d) 0.0526

5. Scores on a SAT verbal test in recent years follow approximately the N(515,109) (I DONT KNOW WHAT THAT MEANS). The proportion of students scoring between 460 and 550 is closest to

a) 0.681

b) 0.309

c) 0.319

d) 0.626