Chapter 07, Section 7.4, Problem 041A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean oinspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 3.95 inches or greater than 4.05 inches, the inspector concludes that the machineneeds an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment?4 inches and a standard deviation of 0.09 inch. The quality controlRound your answer to 4 decimal places.Probability =the tolerance is +/-5%

Solution: Let X be the length of the nails. From the given information, X follows normal…

Answered: Chapter 07, Section 7.4, Problem 041 A…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Problem 2: Let X be a random variable that represents the flow, in cm³/s that goes through a water pipe that discharges into Lake Ontario at any point in time. You have determined that X follows a normal distribution with mean 30cm³/s and standard deviation 5cm³/s. a) What is the probability that the flow through the pipe exceeds 37cm³/s? b) What is the probability that the flow through the pipe is at most 25cm³/s? c) The probability that the flow through the pipe is between 30 - f cm³/s and 30 + f cm³/s is 0.6, what is the value of f?
Example 8.5: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute
Solve normal distribution problem #11
part 2 question 8 The distribution of the weights of a certain type of mangoes is normally distributed with a mean of 150 grams, and standard deviation of 13 grams. A sample of 20 mangoes of this type is taken from a shipment. What is the probability that the mean of the sample is less than 145 grams?
Problem 5. The resistance of one meter of copper cable at a certain temperature is normally distributed with mean μ = 23.8 and variance o² = 1.28. a) What is the probability that a one-meter segment of copper cable has a resistance less than 23.0? b) What is the probability that a one-meter segment of copper cable has a resistance greater than 24.0? c) What is the probability that a one-meter segment of copper cable has a resistance between 24.2 and 24.5?
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
Problem 3: The mean yearly mileage of the vehicles in a delivery company's fleet is 51,400 miles, with a standard deviation of 4,800 miles. You take a random sample of 30 vehicles and another of 45 vehicles. What is the probability that the difference between the mean mileage of the two samples will be a) less than 2,000 miles? b) More than 500?
Question 4. a. On a random day, a store can sell a mean value of 32 pasta packages and a standard deviation of 4. What is the probability that the total number of pasta packages sold by the store for a random sample of 58 days is less than 1862? Explain. Let b. X₁, X2, X3, and X4 represent the weight of shipment packages at a certain shipment facility. Suppose they are independent normal random variables with means M₁ = 0.8, M₂ = 2.6, μ3 = 8.4, µ4 = 2.3 pounds and variances . Find o² = 0² = 0} = 0} = 1 P(3X₁ + 1X2 + 1X3 + 2X4 ≤ 16.8)

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS