Test with a confidence level of 99%, if the following data follows a normal distribution with a mean of 15000 and a standard deviation of 899. Step by step with formulas14642.304114871.135714635.105315343.748416760.001115455.241215186.069212847.582914869.38715790.265313781.494615513.05814153.562214007.377315983.279315218.569214066.1116333.270414483.51214251.98413735.886814496.310416936.796613680.79512174.628514552.049215071.254813167.273614787.017515735.953615356.538715613.3914368.14213596.574815648.624615166.06714952.828114995.189615038.011714605.404514461.620214139.117814905.225915147.709514760.232514602.822515477.46714550.58515587.483614588.0324

Let μ be the population mean. Given that, Sample size (n)=99%=0.99Population mean…

Answered: Test with a confidence level of 99%, if…

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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Test with a confidence level of 99%, if the following data follows a normal distribution with a mean of 15000 and a standard deviation of 899. Step by step with formulas

14642.3041
14871.1357
14635.1053
15343.7484
16760.0011
15455.2412
15186.0692
12847.5829
14869.387
15790.2653
13781.4946
15513.058
14153.5622
14007.3773
15983.2793
15218.5692
14066.11
16333.2704
14483.512
14251.984
13735.8868
14496.3104
16936.7966
13680.795
12174.6285
14552.0492
15071.2548
13167.2736
14787.0175
15735.9536
15356.5387
15613.39
14368.142
13596.5748
15648.6246
15166.067
14952.8281
14995.1896
15038.0117
14605.4045
14461.6202
14139.1178
14905.2259
15147.7095
14760.2325
14602.8225
15477.467
14550.585
15587.4836
14588.0324

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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