Respuesta :
Answer:
920 points.
Step-by-step explanation:
We have been given that the mean score for a standardized test is 800 and the standard deviation is 120. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test.
First of all we will find probability of 0.16 using normal distribution table.
Using normal distribution our Z score will be 0.994458
Now we will use raw-score formula to find the score (x) that a student must make to qualify for summer camp.
[tex]x=\text{Mean}+\text{ Standard deviation* Z score}[/tex]
Upon substituting our given values in above formula we will get,
[tex]x=800+120\times 0.994458[/tex]
[tex]x=800+119.33496[/tex]
[tex]x=919.33496[/tex]
Upon rounding to nearest whole number we will get,
[tex]x=920[/tex]
Therefore, a student must make 920 points to qualify for summer camp.
