Assembly Line Random samples of 200 parts were taken on an assembly line every hour for the past 25 hours.The number of defective parts is shown in the accompanying table. \[\begin{array}{l} \begin{array} { | l | l l l c l l l l l l l l l | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ \hline \begin{array} { l } \text { Number af } \\ \text { Defectives } \end{array} & 5 & 2 & 4 & 10 & 2 & 6 & 8 & 2 & 0 & 5 & 12 & 11 & \mathbf { 8 } \\ \hline \end{array}\\\\ \begin{array} { | l | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\ \hline \begin{array} { l } \text { Number of } \\ \text { Defective5 } \end{array} & 10 & 5 & 13 & 7 & 5 & 7 & 11 & 3 & 16 & 3 & 2 & 10 \\ \hline \end{array} \end{array}\] -{Assembly Line Narrative} Calculate the centerline and control limits for the p chart.

CL = @#LAT-DLM& = .0334 @#LAT-DLM& (sinc

Exam 21: Statistical Process Control

Assembly Line Random samples of 200 parts were taken on an assembly line every hour for the past 25 hours.The number of defective parts is shown in the accompanying table. Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 Number af Defectives 5 2 4 10 2 6 8 2 0 5 12 11 Sample 14 15 16 17 18 19 20 21 22 23 24 25 Number of Defective5 10 5 13 7 5 7 11 3 16 3 2 10 -{Assembly Line Narrative} Calculate the centerline and control limits for the p chart.

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Question 61

Samples Production The mean of the sample means and the pooled standard deviation of 40 samples of size 8 taken from a production process under control are $\bar{\bar { x } }= 215.6$ ,and S = 14.5,respectively. -{40 Samples Production Narrative} Calculate the centerline and control limits for the $\bar { x }$ chart.

(Essay)

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Question 62

For an $\bar { x }$ chart,the lower and upper control limits are usually set at three standard errors from the centerline.

(True/False)

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Question 63

What do you look for to determine when a process is in a state of statistical control?

(Multiple Choice)

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Question 64

The mean of the sample means and the pooled standard deviation of 40 samples of size 5 taken from a production process under control are found to be 400 and 15,respectively.The lower control limit for the $\bar { x }$ chart is:

(Multiple Choice)

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Question 65

The lower control limit for the $\bar { x }$ ,p,and R charts must be zero or above.

(True/False)

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Question 66

To ensure that a manufacturing process is under control,40 samples of size 900 were drawn,and the number of defectives in each sample was counted.The mean of the sample proportion was .025.Then,the lower and upper control limits for the p chart are .0094 and .0406,respectively.

(True/False)

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Question 67

Diaper Delivery Wrap-M-Up,a Ft.Lauderdale diaper Service,has 10 delivery men who each deliver diapers to 50 customers every day.Wrap-M-Up decides to record the proportion of diapers delivered on time for a 10-day period and construct a p chart to see whether the proportion is too erratic.The data are shown below: Day 1 2 3 4 5 6 7 8 9 10 Prapartion of Dingers .916 .894 .928 .900 .864 .968 .914 .988 .952 .936 Delivered an Time -{Diaper Delivery Narrative} Find the numerical value of the lower control limit for the p chart.

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Question 68

____________________ is the term used when the standard deviation of a process distribution increases.

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Question 69

In statistical process control,a Type II error occurs if we conclude that the process is in control when it actually isn't.

(True/False)

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Question 70

If a p chart finds fourteen sample proportions in a row that alternate up and down,this could be an example of assignable cause variation called a(n)____________________.

(Essay)

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Question 71

The process capability index is defined as C_p = (USL - LSL)/ 6,where USL and LSL are the upper and lower specification limits.

(True/False)

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Question 72

A malfunction in the process goes unnoticed and later causes great expense in terms of operator and machine downtime.What type of error was caused here and how could it be decreased?

(Essay)

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Question 73

When estimating the population standard deviation,you typically use the sample standard deviations.However,for a variety of reasons,statistical process control frequently uses the ____________________ instead of the standard deviation.

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Question 74

Samples Manufacturing The mean of the sample means and the pooled standard deviation of 40 samples of size 5 taken from a production process under control are $\bar { x } = 518.7$ ,and S = 11.5,respectively. -{40 Samples Manufacturing Narrative} Suppose you take a sample of size 5 and find the mean to be 502.80.What do you conclude?

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Question 75

When the purpose of sampling is to detect when a process becomes too variable,the control chart of choice will be an S chart.

(True/False)

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Question 76

A process capability index (C_p)of 2.0 describes a production process where the specification limits are equal to 3 standard errors above and below the centerline.

(True/False)

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Question 77

In statistical process control,a Type I error occurs if we conclude that the process is in control when it actually isn't.

(True/False)

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Question 78

What is the average run length (ARL)until an $\bar { x }$ control chart signals a false alarm if the control limits are set at $\pm$ 2.5 standard errors from the centerline?

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Question 79

The lower and upper control limits for the p chart are based on the standard deviation of the process.

(True/False)

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Question 80

Exam 21: Statistical Process Control

For an xˉ\bar { x }xˉ chart,the lower and upper control limits are usually set at three standard errors from the centerline.

What do you look for to determine when a process is in a state of statistical control?

The mean of the sample means and the pooled standard deviation of 40 samples of size 5 taken from a production process under control are found to be 400 and 15,respectively.The lower control limit for the xˉ\bar { x }xˉ chart is:

The lower control limit for the xˉ\bar { x }xˉ ,p,and R charts must be zero or above.

To ensure that a manufacturing process is under control,40 samples of size 900 were drawn,and the number of defectives in each sample was counted.The mean of the sample proportion was .025.Then,the lower and upper control limits for the p chart are .0094 and .0406,respectively.

____________________ is the term used when the standard deviation of a process distribution increases.

In statistical process control,a Type II error occurs if we conclude that the process is in control when it actually isn't.

If a p chart finds fourteen sample proportions in a row that alternate up and down,this could be an example of assignable cause variation called a(n)____________________.

The process capability index is defined as Cp = (USL - LSL)/ 6,where USL and LSL are the upper and lower specification limits.

A malfunction in the process goes unnoticed and later causes great expense in terms of operator and machine downtime.What type of error was caused here and how could it be decreased?

When estimating the population standard deviation,you typically use the sample standard deviations.However,for a variety of reasons,statistical process control frequently uses the ____________________ instead of the standard deviation.

When the purpose of sampling is to detect when a process becomes too variable,the control chart of choice will be an S chart.

A process capability index (Cp)of 2.0 describes a production process where the specification limits are equal to 3 standard errors above and below the centerline.

In statistical process control,a Type I error occurs if we conclude that the process is in control when it actually isn't.

What is the average run length (ARL)until an xˉ\bar { x }xˉ control chart signals a false alarm if the control limits are set at ±\pm± 2.5 standard errors from the centerline?

The lower and upper control limits for the p chart are based on the standard deviation of the process.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Decision Analysis

Conclusion

Filters

For an $\bar { x }$ chart,the lower and upper control limits are usually set at three standard errors from the centerline.

The mean of the sample means and the pooled standard deviation of 40 samples of size 5 taken from a production process under control are found to be 400 and 15,respectively.The lower control limit for the $\bar { x }$ chart is:

The lower control limit for the $\bar { x }$ ,p,and R charts must be zero or above.

The process capability index is defined as C_p = (USL - LSL)/ 6,where USL and LSL are the upper and lower specification limits.

A process capability index (C_p)of 2.0 describes a production process where the specification limits are equal to 3 standard errors above and below the centerline.

What is the average run length (ARL)until an $\bar { x }$ control chart signals a false alarm if the control limits are set at $\pm$ 2.5 standard errors from the centerline?