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Name: Find 95% confidence interval for the mean number of pounds of trash p
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Find 95% confidence interval for the mean number of pounds of trash per person pe week that is generated in a city. 160 residents mean number of pounds of trash generated pers personper week was 36.7 pounds and the standard deviation was 7.7 pounds

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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Find 95% confidence interval for the mean number of pounds of trash per person pe week that is generated in a city. 160 residents mean number of pounds of trash generated pers personper week was 36.7 pounds and the standard deviation was 7.7 pounds.

a. Compute the confidence interval using a ______ distributon.

b. With 95% confidence the population mean number of pounds per person per week is between ______ and______ pounds.

c. If 160 are randomly selected, a different confidence interval would be produced from each group. About ___% of these confidence intervals will contain the true population mean number of pounds of trash generated per personper week and about ___% will not containthe true population mean number of pounds of trash generated per person per week

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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