one from each of the two populations, are selected independently and the weights of all people in the samples are measured in pounds and reported below. The variances of the weights in the two populations are unknown and unequal.Sample from population 1: 130 125 137 139 129 135 150Sample from population 2: 126 128 128 118 130 122 120 131 160 Use Minitab and calculate a 95% confidence interval for the difference between the means of weights in two populations. Interpret the confidence interval and use it to compare the two means. What condition is required for this confidence interval to be valid which is not mentioned in the problem? Is this condition reasonably satisfied? Give reason.

Introduction: It is required to calculate the 95% confidence interval of the difference between the…

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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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one from each of the two populations, are selected independently and the weights of all people in the samples are measured in pounds and reported below. The variances of the weights in the two populations are unknown and unequal.

Sample from population 1: 130 125 137 139 129 135 150
Sample from population 2: 126 128 128 118 130 122 120 131 160

Use Minitab and calculate a 95% confidence interval for the difference between the means of weights in two populations. Interpret the confidence interval and use it to compare the two means.
What condition is required for this confidence interval to be valid which is not mentioned in the problem? Is this condition reasonably satisfied? Give reason.

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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