Question: A chemical plant superintendent orders a process shutdown and setting readjustment whenever the pH of the final product falls below 6.90 or above 7.10. The sample pH is normally distributed with unknown , and standard deviation, , of 0.05. Determine the probability:

1. of readjusting when the process is operating as intended and = 7.0
2. of readjusting when the process is slightly off target and the mean pH is = 7.02
3. of failing to readjust when the process is too alkaline and the mean pH is = 7.15
4. of failing to readjust when the process is too acidic and the mean pH is = 6.80

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