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if he uses upper and lower control limits of 520 and 480 hours, what is the probability that a sample mean is out of control?( assuming the process standard deviation is known to be 20 hours)

Respuesta :

0.0456  is the probability that a sample mean is out of control.

What is probability in math?

  • Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.
  • The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.

UCL = 520

LCL = 480

Mean (X ) = 500

Standard Deviation of sample (Sn) = 11.55

Z (for UCL) = (UCL - Mean)/Sn

Z (for UCL) = (520-500)/10

Z (for UCL) = 2

Z (for LCL) = (LCL - Mean)/Sn

Z (for LCL) = (480 - 500)/10

Z (for LCL) = -2

*Use Z table to find confidence level between Z value of -2 and 2.

Confidence level = 0.4772 + 0.4772

Confidence level = 0.9544

Risk (α ) = 1 - confidence level

Risk (α) = 1 - 0.9544

Risk (α) = 0.0456

Learn more about probability

brainly.com/question/11234923

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