Truck Pollution: In an experiment to determine the effect of ambient temperature on the emissions of oxides of nitrogen (NOx) of diesel trucks, ten trucks were run at temperatures of40°Fand. 80°F. The emissions, in parts per billion, are presented in the following table.Truck40°F80°F1835.8815.92753.9763.03857.0844.14899.1798.25783.2765.36864.3819.47880.4784.58738.5696.69750.6770.710844.7793.8 Send data to ExcelPart: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) Construct an80%confidence interval for the difference in mean emissions between trucks running at40°Fand trucks running at80°F. Letdrepresent the emissions at40°Fminus the emissions at80°F. Use the TI-84 calculator and round the answers to at least two decimal places. An80%confident that the difference in mean emissions between trucks running at40°Fand trucks running at80°Fis<<μd.

The data shows that emissions, in parts per billion for ten trucks.

Answered: Truck Pollution: In an experiment 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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100%

Truck Pollution: In an experiment to determine the effect of ambient temperature on the emissions of oxides of nitrogen (NO_x) of diesel trucks, ten trucks were run at temperatures of

40°F

and.

80°F

. The emissions, in parts per billion, are presented in the following table.

Truck	40°F	80°F
1	835.8	815.9
2	753.9	763.0
3	857.0	844.1
4	899.1	798.2
5	783.2	765.3
6	864.3	819.4
7	880.4	784.5
8	738.5	696.6
9	750.6	770.7
10	844.7	793.8

Send data to Excel

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

(a) Construct an

80%

confidence interval for the difference in mean emissions between trucks running at

40°F

and trucks running at

80°F

. Let

represent the emissions at

40°F

minus the emissions at

80°F

. Use the TI-84 calculator and round the answers to at least two decimal places.

80%

confident that the difference in mean emissions between trucks running at

40°F

and trucks running at

80°F

<<μd

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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