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Find z such that 9% of the standard normal curve lies to the right of z. Sketch the area described. Step 1 We want to find the z value with 9% of the area under the standard normal curve to the right of z. If 9% of the area is to the right of z, this means that % is to the left of z. Therefore, we wish to find z such that the area under the curve to the left of z is equal to
Find the z value such that 95% of the standard normal curve lies between -z and z. Sketch the area described. Step 1 We want to find the z value such that 95% of the area under the standard normal curve lies between -z and z. This area is symmetric and is centered at z = 0. 0 The shaded area above is equal to 95% of the area under the standard normal curve. Therefore, when combined, the non-shaded areas will make up % of the area under the curve. Due to symmetry, this means that 2.5% of the area will fall to the left of -z and % of the area will fall to the right of z. -Z Z Therefore, we wish to find z such that the area to the left of -z is equal to
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