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 scores above 1.08 standard deviation from the mean are publicly recognized.

Step-by-step explanation:

We are given the following information in the question:

Mean = μ

Standard Deviation = σ

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.14

Calculation the value from standard normal z table, we have,  

Thus, scores above 1.08 standard deviation from the mean are publicly recognized.

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