What is equivalent to 1/11?
2 answers:
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Answer:
a) 5.82%
b) 44.81%
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.
(a) What percent of all applicants had scores higher than 13?
All applicants have
This probability is 1 subtracted by the pvalue of Z when X = 13. So
has a pvalue of 0.9418
1 - 0.9418 = 0.0582
5.82% is the answer
(b) What percent of those who entered medical school had scores between 9 and 11?
Those who entered medical school have .
This probability is the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 9. So
X = 11
has a pvalue of 0.6217
X = 9
has a pvalue of 0.1736
0.6217 - 0.1736 = 0.4481 = 44.81%