Answer:
657
Step-by-step explanation:
We are told in the question that:
A university plans to award scholarships to students whose scores are in the top 7%.
The top 7% means
100 - 7% = 93%
These means the student must be in the 93rd percentile
We solve using the z score formula.
z = (x-μ)/σ, where
x is the raw score?
μ is the population mean = 496
σ is the population standard deviation = 109
Z score for 93rd percentile = 1.476
1.476 = x - 496/109
Cross Multiply
1.476 × 109 = x - 496
160.884 = x - 496
x = 160.884 + 496
x = 656.884
Approximately to the nearest whole number = 657
Therefore, the minimum score required for the scholarship 657
