A ____ from a sample is used to estimate a population _____. The two words that best fill these blanks are:
An engineer wants to try two hardening ovens to see whether they have different hardness scores. She cuts 8 pieces of bar stock in half, putting half of each in oven A and the other half in oven B. The following data are collected:
Do the data indicate that the ovens have different average scores? Assume differences are normally distributed.
A population of size 1,000,000 has mean 42 and standard deviation 6. Sixty random samples, each of size 15 are selected. According to the Central Limit Theorem the distribution of the sixty sample means has a standard deviation of approximately:
There are 14 different defects that can occur on a completed time card. The payroll department collects 328 cards and finds a total of 87 defects. DPMO =:
In problem 1, do the data indicate that the population for machine A has a larger standard deviation?
SCENARIO
A Six Sigma team is measuring the moisture content of corn starch as it leaves the conveyer belt of a dryer. They collect one sample four cups of starch at times indicated in the chart at fixed locations labeled A, B, C, and D across the end of the belt. See the diagram below.
After some work on the dryer, additional data are collected which when plotted looks like this:
Which type of variation dominates?
This table displays the inventory of fasteners in a storage cabinet. An item is selected at random from the fastener cabinet.
Find the approximate probability it is larger than 1/2.
An automatic gaging system is to be installed in a process. The gage will insert data values into a data base from which machine adjustments will be made automatically. A critical factor in specifying the equipment is:
SCENARIO A Six Sigma team is measuring the moisture content of corn starch as it leaves the conveyer belt of a dryer. They collect one sample four cups of starch at times indicated in the chart at fixed locations labeled A, B, C, and D across the end of the belt. See the diagram below.
Find the sample linear correlation coefficient and the sample coefficient of determination for the data in problem VI.11.
An experiment has seven factors with two levels each. The experiment has eight runs. This experimental design is called:
The preferred method for determining statistically whether factor A or B is significant requires what additional information?
A meeting is called for all three shifts to determine the settings to be used on machine #45. This is an example of:
A measurement system analysis is designed to assess the statistical properties of?
Voice of the Customer is a Lean Six Sigma technique to determine ____________________ attributes of a product or service.
An x-bar and R chart has four part measurements per sample. The control limits on the averages chart are 2.996 and 3.256. Assume the process data form a normal distribution. What is the probability that the next part measurement falls outside the control limits?
The primary factor in the successful implementation of six sigma is to have
The essence of Lean is to concentrate effort on removing variation from a process output while lowering cost. (True/False)
Find the mean, median and mode of the following data set:
9, 11, 12, 12, 14, 18, 18, 18, 20, 23:
Compared to a two-level factorial experiment, which of the following is an advantage of an experiment in three levels?
Which of the following is most important in evaluating and understanding design intent?
This QFD matrix was used in the design process for a ball point pen. What symbol is appropriate for the square labeled 10?
A set of data from a process has 8 readings per sample and 50 samples. The mean of the 50 sample means is 12.62. The mean of the 50 ranges is 0.18.Find the control limits for a median chart.
There are 14 different defects that can occur on a completed time card. The payroll department collects 328 cards and finds a total of 87 defects. DPU =
Deming called the technique of studying a sample to gain understanding of the distribution of a population an “enumerative study.†His main objection to these studies was:
The primary metric for a project is reduced cost for process A .A consequential metric could be:
This table displays the inventory of fasteners in a storage cabinet. A bolt is selected at random from the fastener cabinet. Find the approximate probability it is size 7/8.
A set of data from a process has 8 readings per sample and 50 samples. The mean of the 50 sample means is 12.62. The mean of the 50 ranges is 0.18.A customer requires that SPC charts be done on their forms which have spaces for only 5 readings per sample. In preparation for calculating the new control limits the following question is asked, “Will the new average range be larger or smaller than the current average range?†The answer is:
A six sigma team has been formed to improve an existing process. Which of the following tools should the team use first to gain a clear understanding of the current process?
Which of the following measures is used to show the ratio of defects to units?
A change agent is responsible for helping the organization do which of the following?
An indication of the experimental error is available because the design has:
Customers make a purchase decision based on a number of factors. In Lean Six Sigma we refer to these decision points as CTQ's which stands for __________.
This QFD matrix was used in the design process for a ball point pen. What symbol is appropriate for the square labeled 3?
In the late 1980's ______________ coined the name Six Sigma for a methodology that had its origins at Motorola for quality related work being done there.