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50 boxes—each containing 30 machine parts—were examined
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Updated on: 22 Jan 2016, 08:03
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In a quality-control test, 50 boxes—each containing 30 machine parts—were examined for defective parts. The number of defective parts was recorded for each box, and the average (arithmetic mean) of the 50 recorded numbers of defective parts per box was 1.12. Only one error was made in recording the 50 numbers: “1” defective part in a certain box was incorrectly recorded as “10”.
Quantity A
Quantity B
The actual average number of defective parts per box
0.94
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Practice Questions Question: 9 Page: 459 Difficulty: medium
In a quality-control test, 50 boxes—each containing 30 machine parts—were examined for defective parts. The number of defective parts was recorded for each box, and the average (arithmetic mean) of the 50 recorded numbers of defective parts per box was 1.12. Only one error was made in recording the 50 numbers: “1” defective part in a certain box was incorrectly recorded as “10”.
Quantity A
Quantity B
The actual average number of defective parts per box
0.94
The number of defective parts was recorded for each box, and the average (arithmetic mean) of the 50 recorded numbers of defective parts per box was 1.12 We can write: (sum of all 50 numbers)/50 = 1.12 Multiply both sides by 50 to get: sum of all 50 numbers = 56
“1” defective part in a certain box was incorrectly recorded as “10”. This means the sum of all 50 numbers was 9 greater than it should have been So, to find the actual sum, we must subtract 9 from our earlier value
Actual sum = 56 - 9 = 47
So, the actual average number of defective parts per box = 47/50 = 0.94
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