18. The distribution ages for students at the state collegeis positively skewed with a mean of u = 21.5 and astandard deviation of o = 3.a. What is the probability of selecting a random sam-ple of nthan 23? (Careful: This is a trick question.)b. What is the probability of selecting a randomsample of n =greater than 23?c. For a sample of n 36 students, what is the prob-ability that the average age is between 21 and 22?4 students with an average age greater36 students with an average age%3D

Answered: Image /qna-images/answer/78c26ad8-4f47-4d8f-b464-acefbf1fe234.jpg

Answered: 18. The distribution ages for students…

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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10. Bags of grain in a warehouse have a mean weight of 60 pounds with a standard deviation of 4 pounds. a. In random samples of 36 bags, what is the probability the total weight of the bags is less than 2100 lb? b. In random samples of 36 bags, what is the 80th percentile for the total weight of the 36 bags?
Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 30% of these tanks leak. You randomly choose 30 tanks at random. A. Does the binomial setting apply? Explain B. What is the mean number of leaking tanks in such samples od 30 tanks? What is the standard deviation? C. What is the probability 25 of these tanks leak? D. What is the probability more than 15 tanks leak in samples of 30 tanks?
Ma1.
36. Electric bills: According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with standard deviation $20.00. a. What proportion of bills are greater than $130? b. What proportion of bills are between $85 and $140? c. What is the probability that a randomly selected household had a monthly bill less than $120?
4. The average salary for first-year teachers is $27,989. Assume the distribution is approximately normal with standard deviation $3250. a. What is the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 each year? b. What is the probability that a randomly selected first-year teacher has a salary less than $20,000?
b. What is the probability that fewer than four corporate officers were female? c. What is the probability that more than two corporate officers were female? d. What are the mean and standard deviation for this distribution?
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places. A.X-NO B. For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm. C. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? D. Find the IQR for the average of 18 cities. Q1 = Q3 = IQR:
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.7 ppm. 37 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 9.8 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is more than 9.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
5. You have a sample with a mean of 46 and a standard deviation of 8. What is the probability of randomly selecting: a) a score above 64? b) a score between 40 and 50? c) a score below 32? 6. You have a sample with a mean of 51 and standard deviation of 12. What is the probability of obtaining a raw score a) below 46? b) below 46 or above 56? 7. Jake needs to score in the top 10% of his class to earn a physical fitness certificate. The class mean is 83, and the standard deviation is 3.2. What raw score does he need to get the certificate?
4. The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 3 minutes. Find the probability that the time between taking the medication and getting relief is as follows. a. At least 30 minutes b. At most 20 minutes 5. All incoming freshmen at a major university are given a mathematics diagnosti exam. The scores are normally distributed with a mean of 120 and a standa deviation of 25. If a student scores less than a certain score, he or she will have undergo an intervention program. Find the cutoff score at which 64% of the stude would have to undergo the intervention program. 2021.04.10 09:47
1. The average salary of senior high school teachers is P 21,200. Assume a normal distribution with standard deviation of P 2,500. What is the probability that the mean for a sample of 36 teachers salaries is less than P20,000?

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