In 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate school only cosiders students that score in the top 2.5% of all GRE test takers. What is the minimum score needed to be considered for admission to Stanfords graduate school?

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

What is the minimum score needed to be considered for admission to Stanfords graduate school?

Top 2.5%.

So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

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38 was the other number of your question.