Containers of a certain treatment for septic tanks are supposed to contain 16 oz of liquid. A sample of five containers is selected from the production line once each hour and the sample average content is determined. Consider the following results: \[\begin{array} { c c c c c c c c } 15.993 & 16.052 & 16.067 & 15.913 & 16.031 & 16.061 & 15.983 & 15.900 \\ 16.039 & 16.075 & 16.040 & 15.936 & 16.033 & 15.961 & 16.056 & \end{array}\] Using \[\Delta\] = .10 and h = .20, employ the computational form of the CUSUM procedure to investigate the behavior of this process.

@#IMG-DLM& @#IMG-DLM& For no time r is t

Exam 16: Quality Control Methods

The 3-sigma control limits of the p chart for the fraction of defective items in a process believed to be in control are LCL = .0125 and UCL = .1425. If the smallest and largest values of $\hat { p } ,$ the fraction of defective items, are .0062 and .1685 respectively, then the process is __________.

(Short Answer)

4.9/5

(31)

Question 41

The sample variance $S ^ { 2 }$ is an unbiased estimator of the population variance $\sigma ^ { 2 }$ that is, = .

(Essay)

4.8/5

(38)

Question 42

A control chart for thickness of rolled-steel sheets is based on an upper control limit of .0525 inch and a lower limit of .0475inch. Suppose the ten most recent values of the quality statistic are .0493, .0485, .0490, .0503, .0492, .0486, .0495, .0494, .0493, and .0488. Comment on the behavior of this control chart.

(Essay)

4.8/5

(37)

Question 43

Which of the following statements are true?

(Multiple Choice)

4.9/5

(33)

Question 44

The average outgoing quality equals 0 when the proportion of defective items in the lot, p, is either or .

(Short Answer)

4.9/5

(29)

Question 45

When an out-of-control process produces a point inside the control limits, a type __________ error has occurred.

(Short Answer)

4.7/5

(31)

Question 46

A control chart for thickness of rolled-steel sheets is based on an upper control limit of .0525 inch and a lower limit of .0475 inch. The first ten values of the quality statistic (in this case $\bar { X }$ the sample mean thickness of n =5 sample sheets) are .0508, .0495, .0504, .0503, .0514, .0500, .0487, .0502, .0507, and .0485. Comment on the behavior of this control chart.

(Essay)

4.7/5

(42)

Question 47

The standard deviation of a certain dimension on an aircraft part is .005 cm. What CUSUM procedure will give an in-control ARL of 600 and an out-of-control ARL of 4 when the mean value of the dimension shifts by .004 cm?

(Essay)

4.8/5

(45)

Question 48

The __________ is a chart developed by Kenneth Kemp that can be used to determine values of h and n that achieves a specified ARL (average run length).

(Short Answer)

4.8/5

(43)

Question 49

Suppose that 25 samples, each of size 200, we selected from what is believed to be an in-control process, and that $\sum \hat { p } _ { i }$ is the fraction of defective items in sample i. The 3-sigma control limits, LCL and UCL, of the p chart for the fraction of defective items are respectively

(Multiple Choice)

4.9/5

(45)

Question 50

For what $\bar { x }$ values will the LCL in a 3-sigma c chart be negative?

(Essay)

4.8/5

(32)

Question 51

Which of the following statements are not true?

(Multiple Choice)

4.7/5

(33)

Question 52

Suppose that k independently selected samples are available, each one consisting of n observations on a normally distributed variable. Denote the sample standard deviations by $s _ { 1 } , s _ { 2 } , \ldots , s _ { k}$ The values $s _ { 1 } , s _ { 2 } , \ldots \ldots , s _ {k }$ are plotted in sequence on an S chart. The center line of the chart will be at height equals to the

(Multiple Choice)

4.8/5

(38)

Question 53

One important characteristic of a sampling plan with rectifying inspection is the __________, denoted by AOQ.

(Short Answer)

4.9/5

(49)

Question 54

A sample of 100 items is to be selected from a batch consisting of 5000 items. The batch will be accepted if the sample contains at most two defective items. a. Calculate the probability of lot acceptance, P(A), for p = .10, .02, …, .05, and sketch the OC curve. b. Sketch the OC curve in problem 85 above (with n = 50, and c = 1) and the OC curve in part (a) of problem 86 (with n = 100, and c = 2) on the same set of axes. Which of the two plans is preferable (leaving aside the cost of sampling) and why?

(Essay)

4.8/5

(38)

Question 55

Containers of a certain treatment for septic tanks are supposed to contain 16 oz of liquid. A sample of five containers is selected from the production line once each hour and the sample average content is determined. Consider the following results: 15.993 16.052 16.067 15.913 16.031 16.061 15.983 15.900 16.039 16.075 16.040 15.936 16.033 15.961 16.056 Using $\Delta$ = .10 and h = .20, employ the computational form of the CUSUM procedure to investigate the behavior of this process.

(Essay)

4.7/5

(29)

Question 56

Any point outside the lower control limit (LCL) and/or the upper control limit (UCL) of a 3-sigma $\bar { x }$ chart suggests that the process may have been at that time, so a search for should be initiated.

(Short Answer)

4.9/5

(43)

Question 57

In a double-sampling plan, it is customary to terminate inspection of the second sample if the number of defectives is sufficient to justify rejection before all items have been examined. This is referred to as __________ in the second sample.

(Short Answer)

4.9/5

(35)

Question 58

Consider a sample of n items obtained at a particular time, and let X be the number of defectives and $\hat { p } = X / n$ Which of the following statements are not true?

(Multiple Choice)

4.8/5

(29)

Question 59

Consider a double-sampling plan with $n _ { 1 } = 80 , n _ { 2 } = 80 , c _ { 1 } = 2 , r _ { 1 } = 5 , \text { and } c _ { 2 } = 6$ Which of the following equalities are not correct if the lot will be accepted?

(Multiple Choice)

4.7/5

(44)

Question 60

Showing 41 - 60 of 86

The sample variance $S ^ { 2 }$ is an unbiased estimator of the population variance $\sigma ^ { 2 }$ that is, = .

Which of the following statements are true?

The average outgoing quality equals 0 when the proportion of defective items in the lot, p, is either or .

When an out-of-control process produces a point inside the control limits, a type __________ error has occurred.

The standard deviation of a certain dimension on an aircraft part is .005 cm. What CUSUM procedure will give an in-control ARL of 600 and an out-of-control ARL of 4 when the mean value of the dimension shifts by .004 cm?

The __________ is a chart developed by Kenneth Kemp that can be used to determine values of h and n that achieves a specified ARL (average run length).

Suppose that 25 samples, each of size 200, we selected from what is believed to be an in-control process, and that $\sum \hat { p } _ { i }$ is the fraction of defective items in sample i. The 3-sigma control limits, LCL and UCL, of the p chart for the fraction of defective items are respectively

For what $\bar { x }$ values will the LCL in a 3-sigma c chart be negative?

Which of the following statements are not true?

One important characteristic of a sampling plan with rectifying inspection is the __________, denoted by AOQ.

Any point outside the lower control limit (LCL) and/or the upper control limit (UCL) of a 3-sigma $\bar { x }$ chart suggests that the process may have been at that time, so a search for should be initiated.

In a double-sampling plan, it is customary to terminate inspection of the second sample if the number of defectives is sufficient to justify rejection before all items have been examined. This is referred to as __________ in the second sample.

Consider a sample of n items obtained at a particular time, and let X be the number of defectives and $\hat { p } = X / n$ Which of the following statements are not true?

Consider a double-sampling plan with $n _ { 1 } = 80 , n _ { 2 } = 80 , c _ { 1 } = 2 , r _ { 1 } = 5 , \text { and } c _ { 2 } = 6$ Which of the following equalities are not correct if the lot will be accepted?

Overview and Descriptive Statistics

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Joint Probability Distributions and Random Samples

Point Estimation

Statistical Intervals Based on a Single Sample

Tests of Hypotheses Based on a Single Sample

Inferences Based on Two Samples

The Analysis of Variance

Multifactor Analysis of Variance

Simple Linear Regression and Correlation

Nonlinear and Multiple Regression

Goodness-Of-Fit Tests and Categorical Data Analysis

Distribution-Free Procedures

Filters

Exam 16: Quality Control Methods

The sample variance S2S ^ { 2 }S2 is an unbiased estimator of the population variance σ2\sigma ^ { 2 }σ2 that is, __________ = __________.

Which of the following statements are true?

The average outgoing quality equals 0 when the proportion of defective items in the lot, p, is either __________ or __________.

When an out-of-control process produces a point inside the control limits, a type __________ error has occurred.

The standard deviation of a certain dimension on an aircraft part is .005 cm. What CUSUM procedure will give an in-control ARL of 600 and an out-of-control ARL of 4 when the mean value of the dimension shifts by .004 cm?

The __________ is a chart developed by Kenneth Kemp that can be used to determine values of h and n that achieves a specified ARL (average run length).

For what xˉ\bar { x }xˉ values will the LCL in a 3-sigma c chart be negative?

Which of the following statements are not true?

One important characteristic of a sampling plan with rectifying inspection is the __________, denoted by AOQ.

Any point outside the lower control limit (LCL) and/or the upper control limit (UCL) of a 3-sigma xˉ\bar { x }xˉ chart suggests that the process may have been __________ at that time, so a search for __________ should be initiated.

In a double-sampling plan, it is customary to terminate inspection of the second sample if the number of defectives is sufficient to justify rejection before all items have been examined. This is referred to as __________ in the second sample.

Consider a sample of n items obtained at a particular time, and let X be the number of defectives and p^=X/n\hat { p } = X / np^​=X/n Which of the following statements are not true?

Consider a double-sampling plan with n1=80,n2=80,c1=2,r1=5, and c2=6n _ { 1 } = 80 , n _ { 2 } = 80 , c _ { 1 } = 2 , r _ { 1 } = 5 , \text { and } c _ { 2 } = 6n1​=80,n2​=80,c1​=2,r1​=5, and c2​=6 Which of the following equalities are not correct if the lot will be accepted?

Overview and Descriptive Statistics

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Joint Probability Distributions and Random Samples

Point Estimation

Statistical Intervals Based on a Single Sample

Tests of Hypotheses Based on a Single Sample

Inferences Based on Two Samples

The Analysis of Variance

Multifactor Analysis of Variance

Simple Linear Regression and Correlation

Nonlinear and Multiple Regression

Goodness-Of-Fit Tests and Categorical Data Analysis

Distribution-Free Procedures

Filters

The sample variance $S ^ { 2 }$ is an unbiased estimator of the population variance $\sigma ^ { 2 }$ that is, = .

The average outgoing quality equals 0 when the proportion of defective items in the lot, p, is either or .

For what $\bar { x }$ values will the LCL in a 3-sigma c chart be negative?

Any point outside the lower control limit (LCL) and/or the upper control limit (UCL) of a 3-sigma $\bar { x }$ chart suggests that the process may have been at that time, so a search for should be initiated.

Consider a sample of n items obtained at a particular time, and let X be the number of defectives and $\hat { p } = X / n$ Which of the following statements are not true?

Consider a double-sampling plan with $n _ { 1 } = 80 , n _ { 2 } = 80 , c _ { 1 } = 2 , r _ { 1 } = 5 , \text { and } c _ { 2 } = 6$ Which of the following equalities are not correct if the lot will be accepted?