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Question: Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling p...

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Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling processes can be assumed to be normal. The quality engineering department is concerned that the second machine (Machine 2) is under filling the water bottles compared to the first machine (Machine 1). An experiment to address this concern is performed by taking a random sample from the output of each machine.

16.03   Machine 1
16.04   Machine 1
16.05   Machine 1
16.05   Machine 1
16.02   Machine 1
16.01   Machine 1
15.96   Machine 1
15.98   Machine 1
16.02   Machine 1
15.99   Machine 1
15.99   Machine 2
15.99   Machine 2
15.96   Machine 2
16   Machine 2
15.96   Machine 2
15.95   Machine 2
15.94   Machine 2
16.02   Machine 2
15.97   Machine 2
15.98   Machine 2

Q1

Compute the point estimate for the 95% confidence interval for the difference in mean volume of the bottles filled for Machine 1 versus Machine 2. (Round answer to 2 decimal places).

Q2

Using software or a statistical table, find the critical value for the 95% confidence interval for the difference in mean volume of the bottles filled for Machine 1 versus Machine 2. (Round answer to 2 decimal places).

Q3

Compute the standard error for the 95% confidence interval for the difference in mean volume of the bottles filled for Machine 1 versus Machine 2. (Round answer to 2 decimal places)

Answer 1