Question

In: Statistics and Probability

In a standard Normal​ model, what​ value(s) of z​ cut(s) off the region​ described? Don't forget...

In a standard Normal​ model, what​ value(s) of z​ cut(s) off the region​ described? Don't forget to draw a picture.

​a) the highest 35%

​b) the highest 75%

​c) the lowest 10%

​d) the middle 60%

Solutions

Expert Solution

Area to the left = 1-Area to the right

Area to the left = 1-0.35

Area to the left = 0.65

Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.35 to the left of the normal curve OR use TI-84 calculator "invnorm(0.65,0,1)" to find the z-score.

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Area to the left = 1-Area to the right

Area to the left = 1-0.75

Area to the left = 0.25

Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.25 to the left of the normal curve OR use TI-84 calculator "invnorm(0.25,0,1)" to find the z-score.

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Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.10 to the left of the normal curve OR use TI-84 calculator "invnorm(0.10,0,1)" to find the z-score.

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Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.80 to the left of the normal curve OR use TI-84 calculator "invnorm(0.80,0,1)" to find the z-score.


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