how often does the university admit an exception student with a SAT score of x =700 or above
Asample of 36 students (N)- 36 were randomly selected with mean (=11,and standard deviation (x=12. the sample mean score X=9.
Assistance needed.
It would help if you proofread your questions before you post them. The scores are so far below 700, none would be admitted (mean = 11 or 9, SD = 12.
To determine the frequency of admitting an exceptional student with an SAT score of 700 or above, we need more information such as the cutoff score set by the university for admission. However, I can explain how to calculate the probability of finding a student with an SAT score of 700 or above based on the information given.
Given:
- Sample size (n) = 36
- Sample mean (X-bar) = 11
- Sample standard deviation (s) = 12
We can calculate the probability of finding a student with an SAT score of 700 or above by converting the SAT scores to z-scores and using the standard normal distribution table.
Step 1: Calculate the z-score for an SAT score of 700.
z = (x - X-bar) / s
z = (700 - 11) / 12
Step 2: Look up the z-score in the standard normal distribution table. The table will give you the area under the curve to the left of the z-score.
Let's assume the area is A.
Step 3: Calculate the probability of finding a student with an SAT score of 700 or above.
P(x ≥ 700) = 1 - A
Please note that without knowing the specific cutoff score set by the university, we cannot determine the exact frequency of admitting an exceptional student with an SAT score of 700 or above.