Answered: Go through the 5 step one-sample…

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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Question

Question one is complete. I am looking for help with question two. I need to explain what these results mean- not necessarily just showing the work like I did with part one. I had this question answered but they just did the math, which I didn't understand nor could I then explain what the results of that math meant. Like what can my boss do with this information.

***DONE***1.) Construct a 95% Confidence Interval with a known population standard deviation of 26.29. Briefly explain to your boss the results of your C.I. Calculation.

Your boss is still not completely convinced that the project was a success, so she asks you to:

2.) Go through the 5 step one-sample hypothesis testing procedure to determine if the sample mean is different than the pre-improvement project population mean of 497.21, using an alpha = .05 (this is a two tailed test). Explain the results to your boss.

Sample Waste Pounds (Table #2)

469 485 468 463 472

480 487 467 462 480

If we take our data from table 2, we get a mean of 473.3 from a sample size of 10. Using the z tables, we get a value of 1.960 for z, and a standard deviation of 26.29 from table 1.

473.3+1.960 26.29/3.16 to 473.3−1.960 26.29/3.16

473.3+1.960(8.31) to 473.3−1.960(8.31)

473.3+16.29 to 473.3 −16.29

1.) This means we can be 95% confident that the numbers will fall between 457 and 489.59

2.) ?

***Please use type and not handwriting***

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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