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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

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 20lb and a standard deviation of 0.6lb.

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 your preferred format.

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The mean weight of the 16 bags collected was 19.326 lb. Calculate the value of the one-sample statistic.

Give your answer precise to three decimal places.

z=

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