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   If you wish, you may download the data in your preferred format.     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=

Question

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

 

If you wish, you may download the data in your preferred format.  

 

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=

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