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
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
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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.
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