Answered: An electronics manufacturing process…

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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An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, µ, is less than 70 minutes. To test this claim, a random sample of 10 completion times under new management was taken.

The sample had a mean completion time of 67 minutes and a standard deviation of 11 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.1 level of significance, can it be concluded that the mean completion time, µ, under new management is less than the scheduled mean?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis: H₀: ____

The alternative hypothesis: H₁:_____

The type of test statistic: (Choose one) ____

The value of the test statistic: ________

(round to at least three decimal places.)

The critical value at the 0.1 level of significance: ______

(round to at least three decimal places.)

At the 0.1 level, can it be concluded that the mean completion time under new management is less

Than the scheduled mean? Yes _____, NO _____

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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