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, 18.66   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.

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Asked Nov 12, 2019
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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.

 

19.69, 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 

 

 

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.

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Expert Answer

Step 1

Given 
The total number of bags collected = 16 = n
The mean weight of 16 bags = 19.471 lbs
Th...

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