Answered: Let z be the standard normal deviation…

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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Central High School believes their students have unusually high SAT scores on average. The school has 165 students.Based on national data, the average SAT score is 1067 with a population standard deviation of 207. Assume SAT scores are normally distributed. Let X be the random variable representing the mean SAT scores for groups of 165 randomly selected students.a. Fill in the blank, rounding your answers to 2 decimal places if needed. According to the Central Limit Theorem, X is approximately normal with a mean of and a standard error of the mean .b. Find the z-score associated to a sample with a mean of 1109, using the sampling distribution. Round your answer to two decimal places. c. Find the probability that a randomly selected sample of 165 students has a mean SAT score higher than 1109. Round your answer to 4 decimal places. d. Central High School finds that for their students, the average SAT score is 1109. Are they justified in saying their students perform unusually well on…
Current Attempt in Progress Let x have a normal distribution with a mean of 57.7 and a standard deviation of 4.95. The z value for x = 43.38, rounded to two decimal places, is: i
2
Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.206P(-b<z<b)=0.206, find b.
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.7704 The indicated z score is (Round to two decimal places as needed.)
A normal distribution has a mean of=100 with a SD= 20 . If one score is randomly selected from this distribution. What is the probability that the score will have a value between X=100 and X=130? NOTE: Using the z-score table attached
expression for, the error function of the standard normal Rand om variable.
Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will lie within the interval. (Round your answer to four decimal places.) z < 1.3
IQ scores form a normal distribution with a mean of μ =25 and a standard deviation of σ = 12. Find the z-score for X= 30 and a sample of n = 89 people?
Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will lie within the interval. (Round your answer to four decimal places.) z < 1.6
The standard normal distribution has : a mean (Mu) of zero (0.00) and a standard deviation of 1.00. a mean (Mu) of 1.00 and a standard deviation of zero (0.00). a mean (Mu) of zero (0.00) and a standard deviation of zero (0.00). a mean (Mu) of 1.00 and a standard deviation of 1.00.
Below is a graph of a normal distribution with mean u = -3 and standard deviation o =2. The shaded region represents theprobability of obtaining a value from this distribution that is between -4 and 0. Shade the corresponding region under the standard normal curve below.

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Let z be the standard normal deviation variable. Using the standard normal table, what is the value for the P(0