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: 20.16, 20.41, 19.96, 20.32, 18.69, 18.68, 18.6, 19.11, 18.9, 18.75, 19.29, 19.61, 19.31, 20.44, 19.52, 19.98. The mean weight of the 16 bags collected was 19.483 lb. Calculate the value of the one-sample ?z‑ statistic. Give your answer precise to three decimal places.

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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:

20.16, 20.41, 19.96, 20.32, 18.69, 18.68, 18.6, 19.11, 18.9, 18.75, 19.29, 19.61, 19.31, 20.44, 19.52, 19.98.

The mean weight of the 16 bags collected was 19.483 lb. Calculate the value of the one-sample ?z‑ statistic.

Give your answer precise to three decimal places.

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