The combined SAT scores for the students at a local high school are normally distributed with a mean of 867 and a standard deviation of 168. The local college requires a minimum SAT score of 864 for students to be considered for admission. What percentage of students from this school have SAT scores that satisfy the local college's admission requirement?

Using the properties of the normal distribution, we find that approximately 49.2% of students from the local high school have SAT scores that satisfy the local college's admission requirement of 864.

Explanation:

This question can be answered using the properties of the normal distribution in statistics.

To find the percentage of students from the high school that have SAT scores over 864, we need to consider the z-score, which measures how many standard deviations a value is from the mean.

Since the college requires a minimum SAT score of 864, and the mean SAT score of the high school is 867, the z-score is (864 - 867) / 168 = -0.018.

Using a standard normal distribution table or calculator, a z-score of -0.018 corresponds to a percentile rank of about 49.2%.

This means that approximately 49.2% of students from this local high school have SAT scores that satisfy the local college's admission requirement.

To know more about Normal Distribution:

https://brainly.com/question/34741155

#SPJ11