Given a normal distribution with u = 103 and o = 15, and given you select a sample of n = 9, complete parts (a) through(d).a. What is the probability that X is less than 93?P(X < 93) = 0.0227(Type an integer or decimal rounded to four decimal places as needed.)b. What is the probability that X is between 93 and 93.5?P(93

Answered: Image /qna-images/answer/6891d827-c0d1-4db6-b498-9830189b6b70.jpg

Answered: Given a normal distribution with u =…

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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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.3 ppm and standard deviation 1.6 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question Jump to Answer
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is nomally distributed. 0.191 0.184 0.199 0.197 0.209 0.220 0.233 0.248 0.253 0.270 0 288 0.300 0.309 0.302 0.303 0.318 Click here to view the table of critical values. Cick here to view.page 1 of the standard normal distribution table. Click hece to view. paon 2 of the standard.notmal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the corect choice below and fil in the answer boxes within your choice. (Round to three decimal places as needed.) OA. No. The correlation between the expected z-ncores and the observed data, does not exceed the oritical value, Therofore, it is not reasonable to conclude that the data come from a normal population. OB. Yes. The correlation…
8. For a normal distribution with u = 500 and o = 100, find the following values: a. What X value separates the highest 10% of the distribution from the rest of the scores? b. What X values form the boundaries for the middle 60% of the distribution? %3D c. What is the probability of randomly selecting a score greater than X = 475?
The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 10 mL. Suppose that 15 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 57.7 mL and 61.3 mL. d. For the group of 15 pancake eaters, find the probability that the average amount of syrup is between 57.7 ml and 61.3 mL. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
Answer D
In a certain normal distribution, the mean is 50. If an observation of 30 is randomly selected, the z-score for this observation will be O Positive O Not enough information to tell O 50 O Negative
1. If Z is a standard normal variable, find the probability that Z lies between 0.25 and 1.67. Draw diagram for normal distribution, define the desired probability as shaded area, use Table to calculate this probability, and circle one of the multiple choice answers. P(0.25< Z < 1.67) =A) – 0.3538 B) 0.9525 C) 0.3538 D) 1.5512
13
If we know that a normal distribution has a mean of H- 100 with o 20, and 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? 0,8664 0 0.4332 O 0.9332 G0.0668
d) For a standard normal distribution, find the probability a score is lower than 2.37 standard deviations above the mean? e) For a standard normal distribution, find the probability a score is between the mean and 2.37 standard deviations above the mean?
Title A random sample of 36 observations has been drawn from a normal distribution... Description </o:p> A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<></53.>

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