Answer:
D. $275
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:
According to the standard deviation rule, almost 2.5% of the students spent more than ... on textbooks in a semester:
This is the value of X when Z has a pvalue of 1-0.025 = 0.975. So it is X when Z = 1.96[/tex]
So
So the correct answer is:
D. $275