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aev [14]
3 years ago
11

Points RR, LL, and SS are:

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer: C

Step-by-step explanation:

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
emmasim [6.3K]

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 \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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

Z = \frac{X - \mu}{\sigma}

Z = \frac{88.3 - 63.1}{14}

Z = 1.8

Alissa:

Scored 236.5, mean 219, standard deviation 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{236.5 - 219}{25}

Z = 0.7

Tera:

Scored 7.75, mean 6.66, standard deviation 0.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{7.75 - 6.66}{0.5}

Z = 2.18

Tera had the higher z-score, so she should be offered the job.

3 0
3 years ago
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