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Name: Suppose that an independent research company was tasked with testing t
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Description: Suppose that an independent research company was tasked with testing the validity of complaints against a pesticide manufacturing firm for under-filling their 20 lb bags of pesticide. Past experience has shown that the amount of pesticide dispensed b

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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Suppose that an independent research company was tasked with testing the validity of complaints against a pesticide manufacturing firm for under-filling their 20 lb bags of pesticide. Past experience has shown that the amount of pesticide dispensed by the machines that fill the bags follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb.

To verify the validity of the complaints, a researcher randomly selected 16 of the firm's 20 lb pesticide bags and recorded the following weights.

19.69,19.5,18.85,18.56,20.23,20.3,20.14,19.11,19.65,18.87,19.22,19.24,18.82,20.23,20.46,18.6619.69,19.5,18.85,18.56,20.23,20.3,20.14,19.11,19.65,18.87,19.22,19.24,18.82,20.23,20.46,18.66

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The mean weight of the 16 bags collected was 19.471 lb. Calculate the value of the one-sample ?z‑ statistic.

Give your answer precise to three decimal places.

?=z=

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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