The following paired random samples are measurements of the heat-producing capacity (in millions of calories per ton) of coal from two mines:Mine 1:8,3808,1808,5007,8407,990Mine 2:7,6607,5107,9108,0707,790 Use the 0.05 level of significance to test whether the difference between the means of these two samples is significant. The following paired random samples are measurements of the heat-producing capacity (inmillions of calories per ton) of coal from two mines:Mine 1: 8,380 8,180Mine 2: 7,660 7,5108,5007,8407,910 8,070 7,7907,990Use the 0.05 level of significance to test whether the difference between the means ofthese two samples is significant.

Given: Mine 1 Mine 2 8380 7660 8180 7510 8500 7910 7840 8070 7990 7790

Answered: The following paired random samples are…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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The following paired random samples are measurements of the heat-producing capacity (in millions of calories per ton) of coal from two mines:

Mine 1:	8,380	8,180	8,500	7,840	7,990
Mine 2:	7,660	7,510	7,910	8,070	7,790

Use the 0.05 level of significance to test whether the difference between the means of these two samples is significant.

The following paired random samples are measurements of the heat-producing capacity (in
millions of calories per ton) of coal from two mines:
Mine 1: 8,380 8,180
Mine 2: 7,660 7,510
8,500
7,840
7,910 8,070 7,790
7,990
Use the 0.05 level of significance to test whether the difference between the means of
these two samples is significant.

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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