The average GRE score at the University of Pennsylvania for the
incoming class of 2016-2017 was 311. Assume that the standard
deviation was 13.4. If you select a random sample of 40 students,
what is the probability that the sample mean will be less than 313?
Round your answer to three decimal places.
Solution :
Given that ,
mean = = 311
standard deviation = = 13.4
_{} = / n = 13.4 / 40 = 2.1187
P( < 313) = P(( - _{} ) / _{} < (313 - 311) / 2.1187)
= P(z < 0.94)
= 0.826
Probability = 0.826
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