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Suppose you are constructing either a mean chart with known variation or a p-chart to monitor some process. The process will only be stopped if a sample taken falls outside your control limits. If the process is in control, management wants only 12.6% of the samples taken to fall outside of your limits. (The company does not like stopping the process "accidentally.") What Z value should you use for your chart?

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sahir9397

Answer:

1.53

Step-by-step explanation:

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The z-value corresponding to the probability of 0.937 using the standard normal distribution table is 1.53 and this can be determined by using the given data.

Given :

  • Suppose you are constructing either a mean chart with a known variation or a p-chart to monitor some process.
  • The process will only be stopped if a sample taken falls outside your control limits.
  • The process is in control, management wants only 12.6% of the samples taken to fall outside of your limits.

Assuming that the distribution is normal so the probability for being within the maximum limit is given by:

[tex]\rm P=1-\dfrac{6.3}{100}[/tex]

P = 0.937

Now, the z-value corresponding to the probability of 0.937 using the standard normal distribution table is 1.53.

Therefore, the correct option is D) 1.53.

For more information, refer to the link given below:

https://brainly.com/question/23044118

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