Respuesta :

Answer:

z = 1.3345

Step-by-step explanation:

The z-score for a given data point, say x, from a normal distribution with a given mean and population standard deviation is usually calculated using the formula;

[tex]z=\frac{x-mean}{standard deviation}[/tex]

The following information is available;

mean = 7

population standard deviation = 3.522

x = 11.7

We simply employ the above formula to determine the z-score associated with the 11.7 data point;

[tex]z=\frac{11.7-7}{3.522}=1.3345[/tex]

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