Question

Find the z score that has 70.54% of the distribution area to its right

Answer 1

The z score that has 70.54% of the distribution area is 9.92

What is a z-score?

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

For the random variable x, the z-score is;

z = (x - 11)/2

therefore, 70.54% of the area under the curve lies to the right of x,

then the area to the left of x is;

100 - 70.54 = 29.46%

From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.

Therefore, we get;

(x - 11)/2 = -0.54

x - 11 = -0.54(2)

x = 9.92

The z score  is 9.92

Learn more about z score here;

brainly.com/question/4167122

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