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5. Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household. (USA Today, November 11, 2009). Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household. (a) What is the probability that a household views television less than 5 hours a day? (b) What is the probability that a household views television more than 6 hours a day? (c) What is the probability that a household views television between 5 and 10 hours a day? (d) How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households.

5. Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household. (USA Today, November 11, 2009). Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household. (a) What is the probability that a household views television less than 5 hours a day? (b) What is the probability that a household views television more than 6 hours a day? (c) What is the probability that a household views television between 5 and 10 hours a day? (d) How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households.

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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Please follow the instructions on the second pic and answer the first pic questions showing the correct formulas in excel.
A 5. Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household. (USA Today, November 11, 2009). Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household. (a) What is the probability that a household views television less than 5 hours a day? (b) What is the probability that a household views television more than 6 hours a day? (c) What is the probability that a household views television between 5 and 10 hours a day? (d) How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households.
Transcribed Image Text:A 5. Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household. (USA Today, November 11, 2009). Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household. (a) What is the probability that a household views television less than 5 hours a day? (b) What is the probability that a household views television more than 6 hours a day? (c) What is the probability that a household views television between 5 and 10 hours a day? (d) How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households.
Page 10 Unit 7, Chapter 6 Lab Lab Instructions - Solve the 5 problems posted in the Excel file. Enter your calculation in the yellow highlighted cells. Submit one file following standard naming convention of last name, first initial lab 5. Normal Distributions - There are an infinite number of normal distributions. A normal distribution is defined by a particular function in which two values have been determined: the mean and the standard deviation. The mean is any real number that indicates the center of the distribution. The standard deviation is a positive real number that is a measurement of how spread out the distribution is. Once we know the values of the mean, standard deviation and the random variable (x), you can calculate the z value to determine the probability. The standard normal distribution has a mean of 0 and a standard deviation of 1. Any normal distribution can be standardized to the standard normal distribution by a simple formula. This is why typically the only normal distribution with tabled values is that of the standard normal distribution. This type of table is sometimes referred to as a table of z-scores. Excel use of NORM DIST - Used to find (p) probability To compute the cumulative probability given a z value use NORM.S.DIST. To compute the cumulative probability given x use NORM.DIST. NORM INV- Used to find z value or x To find the z given probability use NORM.S.INV. To find x given probability use NORM.INV ➤ Calculation Rule - apply the same as manual calculations If solving for less than , simply use the formula If solving for in-between x or z use formula and take the difference between the highest and lowest value If solving for use 1 - formula ZOON
Transcribed Image Text:Page 10 Unit 7, Chapter 6 Lab Lab Instructions - Solve the 5 problems posted in the Excel file. Enter your calculation in the yellow highlighted cells. Submit one file following standard naming convention of last name, first initial lab 5. Normal Distributions - There are an infinite number of normal distributions. A normal distribution is defined by a particular function in which two values have been determined: the mean and the standard deviation. The mean is any real number that indicates the center of the distribution. The standard deviation is a positive real number that is a measurement of how spread out the distribution is. Once we know the values of the mean, standard deviation and the random variable (x), you can calculate the z value to determine the probability. The standard normal distribution has a mean of 0 and a standard deviation of 1. Any normal distribution can be standardized to the standard normal distribution by a simple formula. This is why typically the only normal distribution with tabled values is that of the standard normal distribution. This type of table is sometimes referred to as a table of z-scores. Excel use of NORM DIST - Used to find (p) probability To compute the cumulative probability given a z value use NORM.S.DIST. To compute the cumulative probability given x use NORM.DIST. NORM INV- Used to find z value or x To find the z given probability use NORM.S.INV. To find x given probability use NORM.INV ➤ Calculation Rule - apply the same as manual calculations If solving for less than , simply use the formula If solving for in-between x or z use formula and take the difference between the highest and lowest value If solving for use 1 - formula ZOON
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