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Answer:
Tera had the higher z-score, so she should be offered the job.
Step-by-step explanation:
Z- score:
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:
Whoever has the higher z-score should get the job.
Brittany:
Scored 88.3, mean 63.1, standard deviation 14. So
Alissa:
Scored 236.5, mean 219, standard deviation 25. So
Tera:
Scored 7.75, mean 6.66, standard deviation 0.5. So
Tera had the higher z-score, so she should be offered the job.