GIVEN QUESTION:THE PERFORMANCE OF A COMPUTER IS OBSERVED OVER A PERIOD OF 2 YEARS TO CHECK THE CLAIM THAT THE PROBABILITY IS 0.20 THAT IS DRAWN TIME WILL EXCEED 5 HOURS IN ANY GIVEN WEEK. TESTING THE NULL HYPOTHESIS μ=0.20 AGAINST THE ALTERNATE HYPOTHESIS μ=0.20, WHAT CAN WE CONCLUDE AT LEVEL OF SIGNIFICANCE α=0.05 IF THERE WERE ONLY 11 WEEKS IN WHICH THE DRAWN TIME OF THE COMPUTER EXCEED 5 HOURS? (answer in value )IT IS CLAIMED THAT A RANDOM SAMPLE OF 49 TYRES IS A MEAN LIFE OF 15200 KM. THIS SAMPLE WAS DRAWN FROM A POPULATION WHOSE MEAN IS 15150 KM AND STANDARD DEVIATION OF 1200 KM. TEST THE SIGNIFICANCE AT 0.05 LEVEL.

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Answered: CLAIMED THAT A RANDOM SAMPLE OF 49…

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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GIVEN QUESTION:

THE PERFORMANCE OF A COMPUTER IS OBSERVED OVER A PERIOD OF 2 YEARS TO CHECK THE CLAIM THAT THE PROBABILITY IS 0.20 THAT IS DRAWN TIME WILL EXCEED 5 HOURS IN ANY GIVEN WEEK. TESTING THE NULL HYPOTHESIS μ=0.20 AGAINST THE ALTERNATE HYPOTHESIS μ=0.20, WHAT CAN WE CONCLUDE AT LEVEL OF SIGNIFICANCE α=0.05 IF THERE WERE ONLY 11 WEEKS IN WHICH THE DRAWN TIME OF THE COMPUTER EXCEED 5 HOURS? (answer in value )
IT IS CLAIMED THAT A RANDOM SAMPLE OF 49 TYRES IS A MEAN LIFE OF 15200 KM. THIS SAMPLE WAS DRAWN FROM A POPULATION WHOSE MEAN IS 15150 KM AND STANDARD DEVIATION OF 1200 KM. TEST THE SIGNIFICANCE AT 0.05 LEVEL.

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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