Anything above 90 in this quality scale is considered good. What is the probability Jesse produces a batch with quality above 90?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Two chemists working for a chicken fast food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. White. Gus, their boss, is tired of Mr. White’s negative attitude and is thinking about firing (if you have watched Breaking Bad you understand the euphemism!) him and keeping only Jesse on payroll. The problem, however, is that Mr. White seems to produce a higher quality sauce whenever he is in charge of production if compared to Jesse. Before making a final decision, Gus collected some data measuring the quality of different batches of sauce produced by Mr. White and Jesse. The results, measured on a quality scale, are listed below:

  Average Std. deviation sample size
Mr. White 97 1 7
Jesse 94 3 10

 

Anything above 90 in this quality scale is considered good. What is the probability Jesse produces a batch with quality above 90?

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