A bottled water distributor wants to estimate the amount of water contained in1-gallonbottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to0.01gallon. A random sample of50bottles is selected, and the sample mean amount of water per1-gallonbottle is0.989gallon. Complete parts (a) through (d). a.Construct a95%confidence interval estimate for the population mean amount of water included in a 1-gallon bottle. ____≤μ≤____(Round to five decimal places as needed.)

Given,sample size(n)=50population standard deviation(σ)=0.01sample…

Answered: A bottled water distributor wants to…

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 bottled water distributor wants to estimate the amount of water contained in

1-gallon

bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to

0.01

gallon. A random sample of

bottles is selected, and the sample mean amount of water per

1-gallon

bottle is

0.989

gallon. Complete parts (a) through (d).

Construct a

95%

confidence interval estimate for the population mean amount of water included in a 1-gallon bottle.

____≤μ≤____

(Round to five decimal places as needed.)

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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