Question

In: Statistics and Probability

Compute the upper and lower control limits if samples of size 4 are to be used....

Compute the upper and lower control limits if samples of size 4 are to be used.

UCL=

LCL=

Compute the upper and lower control limits if samples of size 8 are to be used. (Round your answers to three decimal places.)

UCL=

LCL=

Compute the upper and lower control limits if samples of size 16 are to be used.

UCL=

LCL=

Solutions

Expert Solution

SOLUTION:

From given data,

Consider a normally distributed population with mean µ = 84 and standard deviation σ = 10.

mean = µ = 84

standard deviation = σ = 10

formula for control limit = µ 3 /

Compute the upper and lower control limits if samples of size 4 are to be used.

sample size = n= 4

control limit = 84 3*10 /

= 84 15

UCL = Upper Control Limit = 84+15 = 99

LCL = Lower Control Limit = 84-15 = 69

Compute the upper and lower control limits if samples of size 8 are to be used.

sample size = n= 8

control limit = 84 3*10 /

= 84 10.6066017

UCL = Upper Control Limit = 84+10.6066017

= 94.606 (Round your answers to three decimal places.)

LCL = Lower Control Limit = 84-10.6066017

= 73.393 (Round your answers to three decimal places.)

Compute the upper and lower control limits if samples of size 16 are to be used.

sample size = n= 16

control limit = 84 3*10 /

= 84 7.5

UCL = Upper Control Limit = 84+7.5

= 91.5

LCL = Lower Control Limit = 84-7.5

= 76.5

Actually whenever you posted this question it was incomplete...you didn't mention the values of mean and standard deviation.

so as i have the knowledge on this question i was posted this answer with mean and standard deviation values....please check it once.

in case...if these values are different please re post this question again with complete information.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The upper and lower control limits on control charts are usually set at a distance of...

The upper and lower control limits on control charts are usually set at a distance of +/- three times the standard deviation from the center line of the control chart. Use independent research to find the reasons why. Make sure you use the concept of type I and type II error in your discussion. Under what circumstances might a manager consider the use of limits at two times the standard deviation. What should the manager keep in mind when setting...

Statistical process control charts: A. display upper and lower limits for process variables or attributes and...

Statistical process control charts: A. display upper and lower limits for process variables or attributes and signal when a process is no longer in control. B. display the measurements on every item being produced. C. are a graphic way of classifying problems by their level of importance, often referred to as the 80-20 rule. D. indicate to the process operator the average outgoing quality of each lot. E. indicate to the operator the true quality of material leaving the process.

How does changing the samples size effect the centerline and the control limits of a p-Chart?

the midpoint of a class is the sum of its lower and upper limits divided by...

the midpoint of a class is the sum of its lower and upper limits divided by two

Upper Control Limit (UCLx). (3 marks) Lower Control Limit (LCLx). (3 marks) Upper Control Limit (UCLR).

Upper Control Limit (UCLx). Lower Control Limit (LCLx). Upper Control Limit (UCLR).

Suppose that a control chart is used to monitor ? ̅ where the control limits are...

Suppose that a control chart is used to monitor ? ̅ where the control limits are set to 3?? ̅ and the warning limits are set to 2?? ̅. Answer the following: (a) If the false alarm cost per occurrence is $1000. What is the expected false alarm cost every 100 samples. (b) If the warning inspection cost is $100. What is the expected warning inspection cost every 100 samples. (c) Suppose the current sample size of 10 is quadrupled,...

Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution.

Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. Identify the lower class limits. Identify the upper class limits.Identify the class width.Identify the class midpoints.

The lower flammability limit (LFL) and upper flammability limit (UFL) are important safety limits which describe...

The lower flammability limit (LFL) and upper flammability limit (UFL) are important safety limits which describe the minimum and maximum volume fraction in air, respectively, that a flammable substance can burn if ignited. If the range of concentration of benzene in air in which ignition could take place is 1.4 - 8.0 vol%, what would be the corresponding temperatures for air saturated with benzene in the vapour space of a storage tank assuming a total pressure in the vapour space...

Identify the lower class limits, upper class limits, Blood Platelet Count of class width, class midpoints, and class boundaries for the given frequency distribution

Identify the lower class limits, upper class limits, Blood Platelet Count of class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summaryIdentify the lower class limits.Identify the upper class limits.Identify the class width. Identify the class midpoints.Identify the class boundaries.Identify the number of individuals included in the summary.

What is the difference between control limits and specification limits?

Subjects