Astandardized test was given to a set of high school juniors and the distribution of the data is bell shaped. the mean score 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. what score must a student make to qualify for summer camp?

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.  

Upon substituting our given values in above formula we will get,

Upon rounding to nearest whole number we will get,

Therefore, a student must make 920 points to qualify for summer camp.

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step-by-step explanation:

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