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blondinia [14]
3 years ago
13

Find the z score that corresponds to P67, the 67th percentile of a standard normal distribution curve

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

C.  0.44

Step-by-step explanation:

We must use a z-table to find this information.  There are several free on the internet.

Once you get a table, find the value 0.6700 in the table.  Using the row and column this entry is in we get the z-score.  It is in the row for 0.4, and in the table for 0.04.  This makes it 0.44.

yulyashka [42]3 years ago
6 0
From the z-table and at p67 or 0.67 (the decimal values in the table),

Z =0.44

See the attached photo (at the point where 0.6700 appears)

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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
BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have X = 85.1, \mu = 61.1, \sigma = 12. So

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

Z = \frac{85.1 - 61.1}{12}

Z = 2

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have X = 299.2, \mu = 264, \sigma = 22.

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

Z = \frac{299.2 - 264}{22}

Z = 1.6

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have X = 7.26, \mu = 7.1, \sigma = 0.4.

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

Z = \frac{7.26 - 7.1}{0.4}

Z = 0.4

Due to the higher Z-score, Demetria should be offered the job.

3 0
3 years ago
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