Find the z-score such that the interval within z standard deviations of the mean for a normal distribution contains a. 45% of the probability. b. 94% of the probability. c. Sketch the two cases on a single graph. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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Hello for this question I would mainly like it if you can go over the reasoning behind parts a and b the most since those are the areas that I'm more confused about. 

Find the z-score such that the interval within z standard deviations of the mean for a normal distribution contains
a. 45% of the probability.
b. 94% of the probability.
c. Sketch the two cases on a single graph.
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
Transcribed Image Text:Find the z-score such that the interval within z standard deviations of the mean for a normal distribution contains a. 45% of the probability. b. 94% of the probability. c. Sketch the two cases on a single graph. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table.
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