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The average GRE score at the University of Pennsylvania for the incoming class of 2016-2017 was...

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.

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Answer #1

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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