emeverberg emeverberg
  • 19-05-2022
  • Mathematics
contestada

If the mean of a set of data is 23 and the standard deviation is 4, what data value has a z-score of -1.5?

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goddessboi goddessboi
  • 19-05-2022

Answer:

17

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]

Therefore, the observed value that gives a z-score of -1.5 is 17

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