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Name: 7. A simple random sample of 25 filhered 100mm cigaretes is obcained,
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Description: 7. A simple random sample of 25 filhered 100mm cigaretes is obcained, and the tar comtent of cch cigarette is measured. The sample has a mean of 132 mg and a standard deviation of 3.7 mg Use 0.05significance level to test the claim that he mean tar c

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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7. A simple random sample of 25 filhered 100mm cigaretes is obcained, and the tar comtent of cch cigarette is measured. The sample has a mean of 132 mg and a standard deviation of 3.7 mg Use 0.05significance level to test the claim that he mean tar content of fltered 100mm cigarettes is less than 21.1mg, which is the mean for unfiherod king size cigarettes. Usе the Trnaditional metbod.

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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