Answered: Area right of b = Place a so that it…

Area right of b = Place a so that it equally divides the area to the left of b. What is the x-value of a? x-value of a =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Julie was assigned to take her statistics class with Professor Fisher, whose final scores follow a normal distribution with mean 75 (μ=75)(μ=75) and standard deviation of 6 (σ=6)(σ=6). Her score on the final was 84. What is Julie's z-score. Do not round.
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 110.
A normal distribution has a mean of μ = 50 and a standard deviation of σ =12. Find the proportion of the distribution located in the tail for X = 53.
Answer d, e, & f.
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table, Click to view page 2 of the table. Step 1 теan(u) s tan dard o 90 115 The area of the shaded region is (Round to four decimal places as needed.) Step 2 Required pr X-µ = P = P (Z < 1 = P (Z < 2 = 0.9773 Enter your answer in the answer box and then click Check Answer. %3D All parts showing Clear All Final Check P Type here to search hp
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 102 126 A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates 102 and 126, which are both to the right of the curve’s center and peak. The area under the curve between the vertical lines is shaded. The area of the shaded region is enter your response here. (Round to four decimal places as needed.)
In each part, find the area under the standard normal curve that lies between the specified z-score, sketch a standard normal curve, and shade the area of interest. b. -2 and 2 c. - 3 and 3 a. - 1 and 1 a. Find the area under the standard normal curve that lies between - 1 and 1, sketch a standard normal curve, and shade the area of interest. The area under the standard normal curve that lies between - 1 and 1 is (Type an integer or decimal rounded to four decimal places as needed.)
The Z-score tells you the number of standard deviations away from the mean (and in what direction) a data value is. The formula: Z = *- can be used to find the Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z.o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…