ESSAY.  Write your answer in the space provided or on a separate sheet of paper.
Solve the problem.
1) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  23 and a standard deviation of  4.2. Scores on the second test are normally distributed with a mean of  71 and a standard deviation of  10.8.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

2) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  21 and a standard deviation of  5.7. Scores on the second test are normally distributed with a mean of  70 and a standard deviation of  11.1.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

3) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  25 and a standard deviation of  4.5. Scores on the second test are normally distributed with a mean of  71 and a standard deviation of  11.1.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

4) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  21 and a standard deviation of  4.1. Scores on the second test are normally distributed with a mean of  70 and a standard deviation of  11.3.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

5) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  20 and a standard deviation of  4.5. Scores on the second test are normally distributed with a mean of  69 and a standard deviation of  10.5.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

6) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  22 and a standard deviation of  5.1. Scores on the second test are normally distributed with a mean of  70 and a standard deviation of  10.7.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

7) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  23 and a standard deviation of  5.7. Scores on the second test are normally distributed with a mean of  72 and a standard deviation of  10.4.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  27 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

8) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  25 and a standard deviation of  5.1. Scores on the second test are normally distributed with a mean of  68 and a standard deviation of  10.6.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

9) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  21 and a standard deviation of  5. Scores on the second test are normally distributed with a mean of  69 and a standard deviation of  10.4.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

10) A math teacher gives two different  tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of  25 and a standard deviation of  4.4. Scores on the second test are normally distributed with a mean of  68 and a standard deviation of  10.5.   Assume that the two tests use different scales to measure the same aptitude. If a student scores  28 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

1) 86
2) 86
3) 81
4) 92
5) 90
6) 85
7) 79
8) 76
9) 86
10) 75