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In: Statistics and Probability

For the past 30 years, the Industrial Assessment Center (IAC) at Texas A&M has conducted energy...

For the past 30 years, the Industrial Assessment Center (IAC) at Texas A&M has conducted energy audits of manufacturing facilities. To date they have audited 780 factories resulting in over $375 million dollars in energy savings. Assume that savings per factory is normally distributed with an average $484,000 with a standard deviation of $135,000.

Dr. Rasmussen believes that audits conducted in factories managed by Aggies are more successful. He randomly selects 10 facilities managed by Aggies and determines that they saved an average of $520,000 with a sample deviation of $55,000.

He also randomly selected 15 facilities managed by non-Aggies and determines that they saved an average of $240,000 with a sample deviation of $40,000.

Based on this information, answer the following questions:

a) Complete the following statement: “We can be 95% confident that the average Aggie-managed factory in Texas would save at least ________ if it received an energy audit from the IAC.”

b) Is it possible that the average factory managed by non-Aggies actually saves more than the average factory managed by Aggies? Why or why not?

c) Based on the data, the top 10 factories (i.e. the factories that saved the most money) saved at least __________.

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orchestra answered 2 years ago
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