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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=

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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 2 years ago
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