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

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Two machines are usedfor filling plastic bottles with a net volume of 16.0 ounces. Thefilling processes can be assumed to be normal. The qualityengineering department is concerned that the second machine(Machine 2) is under filling the water bottles compared to thefirst machine (Machine 1). An experiment to address this concern isperformed by taking a random sample from the output of eachmachine.

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 thepoint estimate for the 95%confidence interval for the difference in mean volume ofthe bottles filled for Machine 1 versus Machine 2. (Round answer to2 decimal places).

Q2

Using software or astatistical table, find the critical valuefor the 95% confidence intervalfor the difference in mean volume of the bottles filled for Machine1 versus Machine 2. (Round answer to 2 decimal places).

Q3

Compute thestandard error for the 95%confidence interval for the difference in mean volume ofthe bottles filled for Machine 1 versus Machine 2. (Round answer to2 decimal places)