Answered: Find the area of the shaded tregion The… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 4SGR

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5

Find the area of the shaded region The graph to the right depicts I0 scores of aduts, and those scores are noemaly distrbutod with a mean of 100 and a standard
deviation of 15.
00
The area of the shaded regon is
Rournd to tour decimal places as needod)

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Use the standard normal table to find the z-score that corresponds to the cumulative area 0.8365. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING... z=nothing (Type an integer or decimal rounded to three decimal places as needed.)
Find the indicated z-scores shown in the attached graph. First note that the shaded region is an area in between two z-scores. This means that the region is not a cumulative area from the left and to solve requires working instead with regions that are cumulative areas from the left. Thus, to find the z-scores in this situation, one needs to find the cumulative areas to the left of each unknown z-score. While either the Standard Normal Table or technology can be used to find the corresponding z-score, in this problem, use the table. The two values must be approached individually. First, consider the z-score for the lower 0.4649 to the left of z=0. The area to the left of this z-score is not given in the problem directly and must be found using the inner areas given. Note that 0.5 of any Standard Normal Distribution lies to the left of z=0 and that each half is divided into two unequal regions by the unknown z-scores. The larger region is known from the…
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