Calculate the valuc of the one-sample z- statistic.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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To test the validity of complaints against a pesticide manufacturing firm regarding the under-filling of their 20 lb bags, an independent research company conducted a study. It was previously found that the amount of pesticide dispensed by the machines follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb.

A researcher randomly selected 16 bags and recorded their weights to verify the complaints:

19.42, 19.69, 20.25, 19.89, 18.54, 19.76, 19.24, 18.8, 19.82, 18.61, 20.1, 19.07, 20.04, 19.27, 19.52, 19.52

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The mean weight of the 16 bags collected was 19.471 lb. Calculate the value of the one-sample z-statistic. Provide your answer to three decimal places.

\[ z = \_\_\_\_\_\_ \]
Transcribed Image Text:To test the validity of complaints against a pesticide manufacturing firm regarding the under-filling of their 20 lb bags, an independent research company conducted a study. It was previously found that the amount of pesticide dispensed by the machines follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb. A researcher randomly selected 16 bags and recorded their weights to verify the complaints: 19.42, 19.69, 20.25, 19.89, 18.54, 19.76, 19.24, 18.8, 19.82, 18.61, 20.1, 19.07, 20.04, 19.27, 19.52, 19.52 You may download the data in your preferred format: CrunchIt! | CSV | Excel | JMP | Mac Text | Minitab | PC Text | R | SPSS | TI Calc The mean weight of the 16 bags collected was 19.471 lb. Calculate the value of the one-sample z-statistic. Provide your answer to three decimal places. \[ z = \_\_\_\_\_\_ \]
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