A particular brand of coffee contains an average of 112mg of caffeine per cup with a standard deviation of 20mg. Mikasa wants to investigate the same to estimate the true population mean caffeine content correct to within 5mg adopting 95% confidence. How many cups of the same brand of coffee does he need for a sample?In a certain village, Eren wants to estimate the mean weight, in kilograms of all six-years old children to be included in a feeing program. She wants to be 99% confident that the estimate of is accurate to within 0.06kg. Suppose from a previous study, the standard deviation of the weights of the target population was 0.5kg. What should the size be?In a gymnasium, a physical exercise has a men length of 30 minutes with a standard deviation of 6 minutes. A PE major wants to estimate the true mean length of the exercise with maximum error pegged at 0.5 adopting the true 95% confidence interval. How many respondents does he need?

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Answered: Mikasa | bartleby

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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A particular brand of coffee contains an average of 112mg of caffeine per cup with a standard deviation of 20mg. Mikasa wants to investigate the same to estimate the true population mean caffeine content correct to within 5mg adopting 95% confidence. How many cups of the same brand of coffee does he need for a sample?
In a certain village, Eren wants to estimate the mean weight, in kilograms of all six-years old children to be included in a feeing program. She wants to be 99% confident that the estimate of is accurate to within 0.06kg. Suppose from a previous study, the standard deviation of the weights of the target population was 0.5kg. What should the size be?
In a gymnasium, a physical exercise has a men length of 30 minutes with a standard deviation of 6 minutes. A PE major wants to estimate the true mean length of the exercise with maximum error pegged at 0.5 adopting the true 95% confidence interval. How many respondents does he need?

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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