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What is the upper control limit

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Question - The fact checkers on the Game of Thrones production team have received bad press about un-GoT items being seen in the show such as a Starbuck's cup. Instead of counting the number of errors per episode, they wanted to look at all the episodes to see if a show had an error in it. The following data are for the number of shows in a season (assume 10 shows per season for calculation purposes) that contained an error. Note, it didn't matter how many errors. One was enough to be counted.

Season 1, # shows with an error 2

Season 2, # shows with an error 6

Season 3, # shows with an error 6

Season 4, # shows with an error 4

Season 5, # shows with an error 5

Season 6, # shows with an error 2

Season 7, # shows with an error 0

Season 8, # shows with an error 2

Note: when you answer the question, put the number in for the control limits in the value that would be the first observation that is out of control - imagine the control limit chart. If there are 100 observations, an answer of 0.153 would mean that 15.3 (100*0.153) observations would be the calculated value. Then apply the rounding below to finalize the answer.

So, a value of 8.3 would be rounded to 9 as 9 would be the first value in the red. Similarly, 0.4 would be rounded to 1. Take care because this doesn't follow the typical rounding rules.

What is the upper control limit (UCL) using z=2?

What is the lower control limit (LCL) using z=2?

What observations, if any, are out of control?

 

Reference no: EM132835640

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