HIAM ~ The Higher Institute of Administration and Magistracy (HIAM) trains high level administrators, court clerks, and judges, to serve citizens in the country of Cameroon. Entrance into HIAM is very competitive. Candidates must pass homework in French and English languages in the top 5% to be admitted. This is a strict government policy with the goal of enforcing bilingualism and cultural amalgamation. The mean score for the French language test was 15.61 with a standard deviation of 1.16.
The mean score for the English language test was 15 with a standard deviation of 1.79. Assume that the distribution of scores for each language test is approximately normal. Round answers to 4 decimal places except where specified otherwise.
1. What proportion of candidates taking the French language test scored between 13.11 and 18.56?
2. What is the lowest score a candidate could score on the English language test and be admitted to HIAM? In 2010, Solomon Akere took the entrance test to HIAM and scored 17.1 points on the French test and 17.31 points on the English test.
3. What is Solomon’s Z-score on the French test?
4. What is Solomon’s Z-score on the English test?
5. On which test did Solomon do better, relative to the other test takers? A. French B. English C. He did equally well on both tests
6. What is Solomon’s percentile score on the English language test? Round your answer to the nearest whole number.
7. What proportion of the candidates taking the HIAM entrance test performed better than Solomon in the French language test? Eyabi Nzo took the HIAM entrance test the same year as his friend, Solomon.
8. Eyabi scored at the 85th percentile on the English test. What was Eyabi’s score?
