In: Statistics and Probability
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)
The top 14 % means the the top 0.14 probability in normal distribution curve, hence using Z table shown below we can find the Z value at top 14 % level as
Z=1.08,
hence the Student have to score 1.04 standard deviations above the mean to get into top 14 %.