6. Mugs are packed into padded crates for ship-ping. Each crate contains 15 mugs. The mugsare normally distributed with a mean of 450gand a standard deviation of 5g.The weights of the empty crates are also nor-mally distribute with a mean of 150g and astandard deviation of 13g.(a) Calculate the mean and variance for a fullcrate.(b) 90% of the full crates lie below a certainweight, what is that weight?

The provided information is as follows:The weight of one mug is .The total number of mugs in each…

Answered: 6. Mugs are packed into padded crates…

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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The chocolate chip cookies that are produced at Perry’s Cookie Emporium have weights which are approximately normally distributed with the mean weight 180 grams and with standard deviations 20 grams. The cookies, however, are sold by count, not by weight. Perry wants to improve his image, so he decides to set aside lightest 20% of the cookies to be packaged and sold separately. What cookie weight will divide the lightest 20% from the heaviest 80%?
Jeff is doing an experiment involving mice. The mice weights have mean weight 2.37 ounces and standard deviation 0.053 ounces. Jeff selects 9 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?
After the physical training required during World War II the distribution of a mile run times for male students at the University of Illinois was approximately normal with a mean of 7.11 minutes in a standard deviation of 0.74 minutes what proportion of these students can run a mile in 5 minutes or less Using the same data what percent of students would take between 6 and 8 minutes to run a mile
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
Jeff is doing an experiment involving mice. The mice weights have mean weight 3.74 ounces and standard deviation 0.026 ounces. Jeff selects 100 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
New employees at a company are given a proficiency test. The test scores are approximately normally distributed with a mean of 350 and a standard deviation of 30. A new employee scores 389on the exam. What is the employee's z-score?
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: i. Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? ii. iii.
times for a surgical procedure are normally distributed. there are two methods. method a has a mean of 29 minutes and a standard deviation of 5 minutes, while method b has a mean of 33 minutes and a standard deviation of 25 minutes. which procedure is preferred if the procedure must be completed within 37 minutes. method a, b, or either method
Q1. For the giving dataset (X) below, calculate the following X= (455.2, 676.7, 784.7, 349.1, 437.5, 678.3, 760.2, 788.4, 278.3 and 455.2} 1) The Range ( 2) The Mode 3) The variance ( ).
How can get the standard deviation within the measures of dispersion or variability ?

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