3. In a study of factors that affect whether students return to college after the firstsemester, one of the factors examined was the number of hours worked per week. Theanalysis revealed that students typically work an average of 18.1 hours per week, with astandard deviation of 15.3 hours. If we consider a group of 700 freshmen at a communitycollege, what is the probability that the average number of hours worked per week ismore than 20 hours?

Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean…

Answered: 3. In a study of factors that affect…

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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3. The number of cars that passes through Sta. Mesa Highway every weekday resembles a normal distribution with a mean of 8,702 and a standard deviation of 678. On a given weekday, what is the probability that the number of cars that will pass through the highway will be between 7,000 and 8,000 cars?
A survey was given to people living in Broward County. The county randomly collected the income (yearly) information of 10000 people from different towns in the county. The average income for the 10000 people was $100,000. With the standard deviation of $10,000. What is the probability of a person living in that county to have an income between $90,000 and $110,000?
The lifetimes of lightbulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 hours. The population distribution is normal. Suppose that you purchase nine bulbs, which can be regarded as a random sample from the manufacturer’s output.a. What is the mean of the sample mean lifetime?b. What is the variance of the sample mean?c. What is the standard error of the sample mean?d. What is the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours?
As a project manager you have the following data for your current project in a hospital. Expected Completion time 22 weeks Variance of the project 4 weeks. What is the probability this project will take less than 22 weeks? answer choices: a. 50 % b. 69.15 % c. 93.32 % d. 15.87 % e. 0.62 %
A housing survey was conducted to determine the price of a typical home in Topanga, CA. The mean price of a house was roughly $1.3 million with a standard deviation of $300,000. There were no houses listed below $600,000 but a few houses above $3 million. What is the probability that the mean of 60 randomly chosen houses in Topanga is more than $1.4 million?
Data from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures for cellular phone services per consumer unit increased from $235 in 2001 to $611 in 2007. Let the standard deviation of annual cellular expenditure be $42 in 2001 and $162 in 2007. What is the probability that the average annual expenditure of 136 cellular customers in 2001 exceeded $234? What is the probability that the average annual expenditure of 136 cellular customers in 2007 exceeded $577?
The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?
A study randomly selected 676 Canadians and asked them what portion of their income they allocate to savings/investments. The average found was 28%. Suppose the population mean is 24.8% and the standard deviation is 3.2%. Determine the parameter, estimator, and estimate. What is the distribution of the estimator? а. b. What is the probability that the estimate is greater than 26%? c. What is the probability that the estimate is between 20% and 30%? d. What sample size would be needed if the researchers want the standard deviation of the estimator to be less than or equal to 0.01%?
Given a normal population with mean = 39 and variance = 16, what is the probability of obtaining an observation greater than 42?
One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.8 million. Suppose a sample of 400 major league players was taken. Find the approximate probability that the average salary of the 400 players that year exceeded $1.1 million.
Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes. Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.
An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each warehouse has a .05 probability of experiencing a fire. If a fire is experienced in a given warehouse, $1,000 in inventory will be lost. What is the pooled standard deviation of the warehouses per warehouse (round to the nearest whole number)?

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