please help.The breaking strength X [kg] of a certain type of concrete block is normally distributed with a mean of 28 kg and a standard deviation of 3 kg. What is the maximum load such that we can expect no more than 2 % of the blocks to break?A juice shop owner wishes to find 95% confidence interval of the true mean cost of a pineapple juice. How large should the sample be if he wishes to be accurate to within $0.10? A previous study showed that the standard deviation of the price was $0.21.A medical investigation claims that the average number of infections per week at a hospital is 12.4. A random sample of 12 weeks had a mean number of 13.6 infections. The samplestandard deviation is 1.2. Is there enough evidence to reject the investigator’s claim at @=0.05 ?

Name: please help.The breaking strength X [kg] of a certain type of concrete
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Description: please help.The breaking strength X [kg] of a certain type of concrete block is normally distributed with a mean of 28 kg and a standard deviation of 3 kg. What is the maximum load such that we can expect no more than 2 % of the blocks to break?A jui

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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 breaking strength X [kg] of a certain type of concrete block is normally distributed with a mean of 28 kg and a standard deviation of 3 kg. What is the maximum load such that we can expect no more than 2 % of the blocks to break?
A juice shop owner wishes to find 95% confidence interval of the true mean cost of a pineapple juice. How large should the sample be if he wishes to be accurate to within $0.10? A previous study showed that the standard deviation of the price was $0.21.
A medical investigation claims that the average number of infections per week at a hospital is 12.4. A random sample of 12 weeks had a mean number of 13.6 infections. The sample
standard deviation is 1.2. Is there enough evidence to reject the investigator’s claim at @=0.05 ?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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