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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A study by Correlated, Inc of 300 people found that about 51% of the sample liked brussels sprouts. Let p̂ be the proportion of people who like brussels sprouts. a. What is the mean of the sampling distribution of p̂? b. Find the standard deviation of the sampling distribution of p̂. Round to the nearest thousandth. c. Find the probability of selecting a sample of 300 people in which more than 55% of people like brussels sprouts.
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?
The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.3 mm. Suppose that 46 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 46, find the probability that the average hand length is more than 188. c. Find the third quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums 2 [+]
Draw R digram also
2000 freshmen at State University took a math test. The score were distributed normally with a mean of 70 and a standard deviation of 5. Using the Empirical Rule: a. What percentage of scores is between two standard deviations of the mean? b. What percentage of scores is less than a score of 55 c. What percentage of scores is more than a score of 80
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. 36 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 ? I - N( c. What is the probability that one randomly selected city's waterway will have more than 9.1 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is more than 9.1 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 36 cities. Q1 = ppm Q3 = ppm IQR: ppm
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Choose the letter of the best answer. 1. Which of the following best describe the mean of a discrete random variable? A. It is the lowest assumed value of a discrete random variable. B. It is the highest assumed value of a discrete random variable. C. It is an average value of a discrete random variable over numerous trials of an experiment. D. It is the amount of spread, dispersion, or variability of the assumed value of a discrete random variable. 2. Which of the following best describe the variance and standard deviation of a probability? A. It is the lowest assumed value of a discrete random variable. B. It is the highest assumed value of a discrete random variable. C. It is the average value of a discrete random variable over numerous trials of an experiment. D. It is the amount of spread, dispersion, or variability of the assumed value of a discrete random variable. 3. Which of the following best describe the standard deviation of a probability distribution? A. It is twice the…
The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 6 ounces. 35 randomly selected people are surveyed. 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 person drinks between 15.7 and 16.1 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 15.7 and 16.1 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary?O NoO Yes f. Find the IQR for the average of 35 coffee drinkers. Q1 ounces Q3 = ounces IQR: ounces II

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