Answered: Suppose that an independent research…

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.

19.81, 18.54, 19.94, 18.52, 18.5, 18.72, 19.38, 19.37, 19.08, 19.1, 18.54, 20.27, 20.23, 19.77, 19.14, 20.31

If you wish, you may download the data in R format (R data ).

The company would like to use these data to conduct a z-test with α=0.05

State the null hypothesis:

State the alternative hypothesis

Give the z-statistic:

Since the P-value is _____ α=0.05, there is ______ evidence to support the complaints.

μ ≤ 20 μ ≥ 20 μ = 20

‑4.492 0.00 1.00 4.492

equal to less than greater than

significant little

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