For all students who have taken a certain class during the last ten years, the average on the mid-term is 83.4 and the standard deviation of the mid-term scores is 7.2; the average on the final is 79.3 and the standard deviation of the scores on the final is 5.1; the correlation between scores on the mid-term and scores on the final is 0.86. 4. My teacher has lost our mid-term scores (but at least has our scores on the final), so she is fitting a straight line to guess what we probably got on the mid-term. What’s the equation of the line she is using? 5. I got a 90 on the final. What does my teacher think I got on the midterm?

Test scores for a history class had a mean of 69 with a standard deviation of 4.5. Test scores for a physics class had a mean of 79 with a standard deviation of 3.5. Suppose a student gets a 75 on the history test and 83 on the physics test. Calculate the z- score for each test. On which test did the student perform better? A. B. C. D. History exam; history z-score is 1.33; physics z-score is 1.14 Physics exam; history z-score is 1.33; physics z-score is 1.14 History exam; history z-score is -1.33; physics z-score is -1.14 Physics exam; history z-score is -1.33; physics z-score is -1.14

The following information is slightly different for each student but very close to the actual real data. Assume the number of years in prison before being exonerated is normally distributed for both white and black males. The average amount of time Black males are in prison before being exonerated is 13.7 years with a population standard deviation of 9.8 years. The average amount of time White male are in prison before being exonerated is 9.2 years with a population standard deviation of 8.6. Give all answers to at least 2 decimal places.a) If a Black male is at the 70th percentile for years in prison before being exonerated, find the time the person has been in prison. years

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.9 and standard deviation of 5.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,059 and standard deviation of 203.  What ACT scores make up the top 10% of all the scores?  Round to the nearest whole number.