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22 February, 04:01

Using the standard normal distribution, find the two z-scores that that form the middle shaded region. The shaded region is symmetric about z = 0. Round your z-scores to two decimal places.

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  1. 22 February, 05:08
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    Between (-0.675, 0.675)

    Step-by-step explanation:

    We know that a standard normal distribution curve is bell shaped unimodal, symmetrical about mean.

    for thsi standard normal variate with notation z, we get mean = 0 and std deviation = 1

    For the middle shaded region, we find z such that the area between - z and z is 0.50 exactly half.

    From standard normal distribution table, we get that z = ±0.675

    Hence between z=-0.675 and z = 0.675 we get the middle region with area equal to exactly 1/2.

    Between (-0.675, 0.675)
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