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Varvara68 [4.7K]
3 years ago
15

A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer

from the drop-down menu to correctly complete the statement. Based on the mean of 70 and his raw score of 55, Todd’s z-score must be
Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

<em>Mean of the population 'μ' = 70 </em>

<em>Standard deviation of the Population ' σ ' = 10</em>

<em>let 'x' be the random variable in normally distributed</em>

<u><em>Step(ii)</em></u>:-

<em>Given raw score  'x' = 55</em>

Todd's Z-score

                      Z = \frac{x-mean}{S.D}

                     Z = \frac{55-70}{55}

                     Z = -0.27

<u><em>Final answer</em></u>:-

<em>Todd's Z-score is - 0.27        </em>            

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