Question

For the normal distribution, find the z-score values that separate the distribution into 3 secitons (a...

For the normal distribution, find the z-score values that separate the distribution into 3 secitons (a body and two tails) as determined by the following percentages. (Round your answers to two decimal places.)

(a) The middle 60% of the distribution from the 40% in the tails.

z = (smaller value)

z = (larger value)

(b) The middle 70% of the distribution from the 30% in the tails.

z = (smaller value)

z = (larger value)

(c) The middle 80% of the distribution from the 20% in the tails.

z = (smaller value)

z = (larger value)

(d) The middle 90% of the distribution from the 10% in the tails.

z = (smaller value)

z = (larger value)

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Answer #1

(a) The middle 60% of the distribution from the 40% in the tails.

z = -0.84163  (Using NORMSINV(0.20) in Excel)

z =0.84163   (Using NORMSINV(0.80) in Excel)

(b) The middle 70% of the distribution from the 30% in the tails.

z = -1.03643  (Using NORMSINV(0.15) in Excel)

z = 1.03643 (Using NORMSINV(0.85) in Excel)

(c) The middle 80% of the distribution from the 20% in the tails.

z = -1.28155  (Using NORMSINV(0.10) in Excel)

z = 1.28155 (Using NORMSINV(0.90) in Excel)

(d) The middle 90% of the distribution from the 10% in the tails.

z = -1.64485 (Using NORMSINV(0.05) in Excel)

z = 1.64485 (Using NORMSINV(0.95) in Excel)

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