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Two engineers James and John are given access to 70 prototypes LEd lamps to test

ID: 3057689 • Letter: T

Question

Two engineers James and John are given access to 70 prototypes LEd lamps to test for lumen output after 1000 hours of use.

James tests all 70 lamps and determines the average lumen output to be 5000, and standard deviation of 200 lumens.

John tests all 6 lamps and determines the average lumen output to be 4900, and standard deviation of 150 lumens.

Their boss wants to tell the company's board of directors that this batch of prototype LED lamps will output at least 4500 lumens after 1000 hrs of use.

a. What can James state about the lamps outputting at least 4500 lumens

b. what can John state about the lamps outputting at least 4500 lumens

Explanation / Answer

Two engineers James and John are given access to 70 prototypes LEd lamps to test for lumen output after 1000 hours of use.

James tests all 70 lamps and determines the average lumen output to be 5000, and standard deviation of 200 lumens.

John tests all 6 lamps and determines the average lumen output to be 4900, and standard deviation of 150 lumens.

Their boss wants to tell the company's board of directors that this batch of prototype LED lamps will output at least 4500 lumens after 1000 hrs of use.

a. What can James state about the lamps outputting at least 4500 lumens

b. what can John state about the lamps outputting at least 4500 lumens

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