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A. Answer the following problems. Show all necessary solutions and graphs. 1. Suppose 95.4% of patients in a hospital have weights between 60 kg and 80 kg. Find the mean, variance, and standard deviation of the normal random variable. 2. Using the standard normal curve, find the probability that a given value falls between - 2.96 and 1.05. Shade the region that corresponds to this probability. 3. Use linear interpolation to identify the probability value corresponding to a standard normal score of 2.1764. 4. Find the z-score corresponding to an area of 0.8888 to its right. 5. Find the standard normal score that corresponds to the first quartile. 6. The ages of a certain group of students in a school follow a normal distribution with a mean of 13 and a standard deviation of 1.5. Find the probability that a randomly selected students is between 10 and 16 years old. 7. Enumerate the different sampling techniques and classifty then as probability or non- probability sampling. 8. A sample size n= 5 is drawn from a set 10, 14, 18, 23, 31, and 34 without replacement. Construct the sampling distribution and determine the mean, variance and the standard error of the sample means. 9. Random samples with size 25 are drawn from the population with a mean of 30 and a standard deviation of 8. Find the mean and the standard error of the sample means. 10.A population has a mean of 85 and a standard deviation of 2.3. What is the probability that the mean of a random sample with size 30 falls between 80 and 88?

A. Answer the following problems. Show all necessary solutions and graphs. 1. Suppose 95.4% of patients in a hospital have weights between 60 kg and 80 kg. Find the mean, variance, and standard deviation of the normal random variable. 2. Using the standard normal curve, find the probability that a given value falls between - 2.96 and 1.05. Shade the region that corresponds to this probability. 3. Use linear interpolation to identify the probability value corresponding to a standard normal score of 2.1764. 4. Find the z-score corresponding to an area of 0.8888 to its right. 5. Find the standard normal score that corresponds to the first quartile. 6. The ages of a certain group of students in a school follow a normal distribution with a mean of 13 and a standard deviation of 1.5. Find the probability that a randomly selected students is between 10 and 16 years old. 7. Enumerate the different sampling techniques and classifty then as probability or non- probability sampling. 8. A sample size n= 5 is drawn from a set 10, 14, 18, 23, 31, and 34 without replacement. Construct the sampling distribution and determine the mean, variance and the standard error of the sample means. 9. Random samples with size 25 are drawn from the population with a mean of 30 and a standard deviation of 8. Find the mean and the standard error of the sample means. 10.A population has a mean of 85 and a standard deviation of 2.3. What is the probability that the mean of a random sample with size 30 falls between 80 and 88?

MATLAB: An Introduction with Applications
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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A. Answer the following problems. Show all necessary solutions and graphs. 1. Suppose 95.4% of patients in a hospital have weights between 60 kg and 80 kg. Find the mean, variance, and standard deviation of the normal random variable. 2. Using the standard normal curve, find the probability that a given value falls between - 2.96 and 1.05. Shade the region that corresponds to this probability. 3. Use linear interpolation to identify the probability value corresponding to a standard normal score of 2.1764. 4. Find the z-score corresponding to an area of 0.8888 to its right. 5. Find the standard normal score that corresponds to the first quartile. 6. The ages of a certain group of students in a school follow a normal distribution with a mean of 13 and a standard deviation of 1.5. Find the probability that a randomly selected students is between 10 and 16 years old. 7. Enumerate the different sampling techniques and classify then as probatbility or non- probability sampling. 8. A sample size n 5 is drawn from a set 10, 14, 18, 23, 31, and 34 without replacement. Construct the sampling distribution and determine the mean, variance and the standard error of the sample means. 9. Random samples with size 25 are drawn from the population with a mean of 30 and a standard deviation of 8. Find the mean and the standard error of the sample means. 10.A population has a mean of 85 and a standard deviation of 2.3. What is the probability that the mean of a random sample with size 30 falls between 80 and 88?
Transcribed Image Text:A. Answer the following problems. Show all necessary solutions and graphs. 1. Suppose 95.4% of patients in a hospital have weights between 60 kg and 80 kg. Find the mean, variance, and standard deviation of the normal random variable. 2. Using the standard normal curve, find the probability that a given value falls between - 2.96 and 1.05. Shade the region that corresponds to this probability. 3. Use linear interpolation to identify the probability value corresponding to a standard normal score of 2.1764. 4. Find the z-score corresponding to an area of 0.8888 to its right. 5. Find the standard normal score that corresponds to the first quartile. 6. The ages of a certain group of students in a school follow a normal distribution with a mean of 13 and a standard deviation of 1.5. Find the probability that a randomly selected students is between 10 and 16 years old. 7. Enumerate the different sampling techniques and classify then as probatbility or non- probability sampling. 8. A sample size n 5 is drawn from a set 10, 14, 18, 23, 31, and 34 without replacement. Construct the sampling distribution and determine the mean, variance and the standard error of the sample means. 9. Random samples with size 25 are drawn from the population with a mean of 30 and a standard deviation of 8. Find the mean and the standard error of the sample means. 10.A population has a mean of 85 and a standard deviation of 2.3. What is the probability that the mean of a random sample with size 30 falls between 80 and 88?
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