Question

A process has mean 10 and standard deviation 0.8, ($mu$ = 10, $sigma$ = 0.8) with upper and lower specifications limits 13 and 8, respectively. What is the process capability index ($C_{pk}$) of this process? Is it capable based on this index? a) $C_{pk}$ = 1 , the process is capable based on this ratio. b) $C_{pk}$ = 1.25 , the process is capable based on this ratio. c) $C_{pk}$ = 0.95 , the process is not capable based on this ratio. d) $C_{pk}$ = 0.83 , the process is not capable based on this ratio.

          A process has mean 10 and standard deviation 0.8,
($mu$ = 10, $sigma$ = 0.8)
with upper and lower specifications limits 13 and 8, respectively. What is the process
capability index
($C_{pk}$)
of this process? Is it capable based on this index?
a)
$C_{pk}$ = 1
, the process is capable based on this ratio.
b)
$C_{pk}$ = 1.25
, the process is capable based on this ratio.
c)
$C_{pk}$ = 0.95
, the process is not capable based on this ratio.
d)
$C_{pk}$ = 0.83
, the process is not capable based on this ratio.

Show more…

A process has mean 10 and standard deviation 0.8,
(mu = 10, sigma = 0.8)
with upper and lower specifications limits 13 and 8, respectively. What is the process
capability index
(Cpk)
of this process? Is it capable based on this index?
a)
Cpk = 1
, the process is capable based on this ratio.
b)
Cpk = 1.25
, the process is capable based on this ratio.
c)
Cpk = 0.95
, the process is not capable based on this ratio.
d)
Cpk = 0.83
, the process is not capable based on this ratio.

Added by Donna G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

Step 1

Cp = (13 - 8) / (6 * 0.8) = 5 / 4.8 = 1.0417 Now, we need to calculate the process capability index (Cpk) using the formula: Cpk = min[(USL - μ) / (3 * σ), (μ - LSL) / (3 * σ)] Show more…

Show all steps

lock

Thanks for your feedback!

A process has mean 10 and standard deviation 0.8, (μ = 10, σ = 0.8) with upper and lower specifications limits 13 and 8, respectively. What is the process capability index (Cpk) of this process? Is it capable based on this index? a) Cpk = 1, the process is capable based on this ratio. b) Cpk = 1.25, the process is capable based on this ratio. c) Cpk = 0.95, the process is not capable based on this ratio. d) Cpk = 0.83, the process is not capable based on this ratio.

Play audio

Feedback

Powered by NumerAI

Zhumagali Shomanov and 95 other subject Calculus 3 educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later