Please help with the 3 questions! thanks!
The Datasets Poindexter has two datasets to use in exploring the problem. The first dataset was obtained two months ago when the process was known to be definitely under control. It consists of 50 individual nozzle diameters. The diameters are normally distributed. That dataset can be found on the first sheet in the Excel workbook (labeled "50 Throat Diameters"). Poindexter's specification on that diameter was 0.1000 plus or minus 0.0050 The second dataset (on the sheet labeled "20 Samples of Size 5") consists of 20 samples of 5 nozzle throat diameters. This data was taken more recently (just a week ago) and possibly after a problem had developed at the supplier. That is, this sample was taken when the process may or may not have been under control. Each horizontal row in the second dataset represents one sample consisting of 5 observations ( 5 diameters). Each row gives that sample's 5 individual diameters in columns B to F, then gives the whole sample's mean diameter in column H, and the sample's range of diameters in column I. The 20 samples are listed in the order in which they were taken. That is, sample 1 (the first row) was taken first, sample 2 (the second row) was taken second, etc. Again, this data was taken after a problem may have developed so we don't know if the process was still under control or if it was still normally distributed. Assume that there is nothing wrong with the design of the Rat Freeze. That is, if the Rat Freeze is manufactured to specification, the rat will freeze on the spot. That means, that either the rat was able to move more than an inch due to a failure in the supplier's process or there really isn't really a problem at all (the fact that the rat didn't die instantly was just a very unlikely fluke ... perhaps the rat in question had especially good genetics, ate well, and exercised often). You need to find out what the truth is; is there a problem with the supplier's process or not? 50 Throat Diameters 20 Samples of Size 5 20 Samples of Size 5 Question 1 (50 points): Does the first dataset show that the process had a problem a month ago (yes or no)? If yes, which type of problem did it have? Show whatever calculations/charts you need to support your answer. Note: You may not need both calculations and charts. No points will be awarded for unsupported answers. Question 2 (100 points): Does the second dataset show that a problem existed a week ago? If so, which type of problem? Be careful...you may need to use more than one type of chart to find the problem. Show whatever calculations or charts you need to support your answer. Again, unsupported answers will not receive any points. Question 3 (50 points): Which of the following statements is true? Note: only one of the four is true so only pick one. A. The process is presently under control, and is capable. B. The process is presently under control, but is not capable. C. The process is not under control now, but was good enough (capable) when it was under control two months ago. D. The process is not under control now, and it wasn't good enough (capable) when it was under control two months ago. The Datasets Poindexter has two datasets to use in exploring the problem. The first dataset was obtained two months ago when the process was known to be definitely under control. It consists of 50 individual nozzle diameters. The diameters are normally distributed. That dataset can be found on the first sheet in the Excel workbook (labeled "50 Throat Diameters"). Poindexter's specification on that diameter was 0.1000 plus or minus 0.0050 The second dataset (on the sheet labeled "20 Samples of Size 5") consists of 20 samples of 5 nozzle throat diameters. This data was taken more recently (just a week ago) and possibly after a problem had developed at the supplier. That is, this sample was taken when the process may or may not have been under control. Each horizontal row in the second dataset represents one sample consisting of 5 observations ( 5 diameters). Each row gives that sample's 5 individual diameters in columns B to F, then gives the whole sample's mean diameter in column H, and the sample's range of diameters in column I. The 20 samples are listed in the order in which they were taken. That is, sample 1 (the first row) was taken first, sample 2 (the second row) was taken second, etc. Again, this data was taken after a problem may have developed so we don't know if the process was still under control or if it was still normally distributed. Assume that there is nothing wrong with the design of the Rat Freeze. That is, if the Rat Freeze is manufactured to specification, the rat will freeze on the spot. That means, that either the rat was able to move more than an inch due to a failure in the supplier's process or there really isn't really a problem at all (the fact that the rat didn't die instantly was just a very unlikely fluke ... perhaps the rat in question had especially good genetics, ate well, and exercised often). You need to find out what the truth is; is there a problem with the supplier's process or not? 50 Throat Diameters 20 Samples of Size 5 20 Samples of Size 5 Question 1 (50 points): Does the first dataset show that the process had a problem a month ago (yes or no)? If yes, which type of problem did it have? Show whatever calculations/charts you need to support your answer. Note: You may not need both calculations and charts. No points will be awarded for unsupported answers. Question 2 (100 points): Does the second dataset show that a problem existed a week ago? If so, which type of problem? Be careful...you may need to use more than one type of chart to find the problem. Show whatever calculations or charts you need to support your answer. Again, unsupported answers will not receive any points. Question 3 (50 points): Which of the following statements is true? Note: only one of the four is true so only pick one. A. The process is presently under control, and is capable. B. The process is presently under control, but is not capable. C. The process is not under control now, but was good enough (capable) when it was under control two months ago. D. The process is not under control now, and it wasn't good enough (capable) when it was under control two months ago
