A health conscious student faithfully wears a device that tracks his steps. Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. One day he took 15,000 steps. What was his percentile on that day?
a. 95%
b. 97.7%
c. 99.7%
d. 100%
c
RATIONALE: We are asked to calculate P(X < 15,000) given a normal distribution with a mean of 10.000 and a standard deviation of 1,500 steps. This probability can be calculated using the Excel function NORM.DIST(15000, 10000, 1500, TRUE) = 0.977.
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