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Answer:
history test
Step-by-step explanation:
Problems of normally distributed samples can be 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:
He did better relative to the class in the test in which he had a higher Z score.
So:
History
Raul received a score of 75 on a history test for which the class mean was 70 with a standard deviation of 7. So we have
So:
Biology
He received a score of 73 on a biology test for which the class mean was 70 with standard deviation 7. So we have
So:
He had a higher Z score in the history test, so this is the test in which he did better relative to the rest of the class.