Find 95% confidence interval for the difference between the means of the two populations.Assume the populations to be normally distributed. Which among the tires give better fuel economy? 1. A taxi company manager is trying to decide whether the use of radial tires instead of regularbelted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over aprescribed test course. Without changing drivers, the same cars were then equipped with regularbelted tires and driven once again over the test course. The gasoline consumption, in kilometersper liter, was recorded as follows:Kilometers per LiterCar Radial Tires Belted Tires4.24.124.74.93.6.66.2476.956.76.86.4.54.475.75.75.87.46.9104.94.7116.16.125.24.9

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Description: Find 95% confidence interval for the difference between the means of the two populations.Assume the populations to be normally distributed. Which among the tires give better fuel economy? 1. A taxi company manager is trying to decide whether the use

By using the given observation we have to calculate x and y. To check equality of two population…

Answered: Find 95% confidence interval

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Find 95% confidence interval for the difference between the means of the two populations.
Assume the populations to be normally distributed.
Which among the tires give better fuel economy?

1. A taxi company manager is trying to decide whether the use of radial tires instead of regular
belted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over a
prescribed test course. Without changing drivers, the same cars were then equipped with regular
belted tires and driven once again over the test course. The gasoline consumption, in kilometers
per liter, was recorded as follows:
Kilometers per Liter
Car Radial Tires Belted Tires
4.2
4.1
2
4.7
4.9
3.
6.6
6.2
4
7
6.9
5
6.7
6.8
6.
4.5
4.4
7
5.7
5.7
5.8
7.4
6.9
10
4.9
4.7
11
6.1
6.
12
5.2
4.9

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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