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Directions: Select one of the following answer choices.
Q. 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: The actual average number of defective parts per box
Quantity B: 0.94
  • a)
    Quantity A is greater.
  • b)
    Quantity B is greater.
  • c)
    The two quantities are equal.
  • d)
    The relationship cannot be determined from the information given.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Select one of the following answer choices.Q. In a qualit...
In this question, you are given that the number of defective parts in each of 50 boxes was recorded and that the average of the 50 recorded numbers was 1.12. You are also given that an error was made in recording one of the 50 numbers— the number 10 was recorded instead of the number 1- so the actual number of defective parts in this box is 9 less than the recorded number. Then you are asked to compare the actual average number of defective parts per box with 0.94.
To determine the actual average number of defective parts per box, first note that the sum of the 50 recorded numbers equals the average of the 50 recorded numbers times 50 - that is, (1.12)(50), or 56.
Now you know that for 49 of the 50 boxes, the actual number of defective parts is equal to the recorded number; and for one box, the actual number is 9 less than the recorded number. From this you can conclude that the sum of the 50 actual numbers is equal to the sum of the 50 recorded numbers minus 9. So the sum of the actual numbers of defective parts is 56 − 9, or 47.
Therefore, the actual average number of defective parts per box is 47/50, or 0.94. Quantity A is equal to Quantity B, and the correct answer is Choice C.
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Directions: Select one of the following answer choices.Q. In a qualit...
To determine the relationship between Quantity A and Quantity B, let's first analyze the given information:

- 50 boxes were examined for defective parts.
- Each box contained 30 machine parts.
- The average number of defective parts per box, based on the recorded data, was 1.12.
- One error was made in recording the numbers, where a box with 1 defective part was incorrectly recorded as having 10 defective parts.

To find the actual average number of defective parts per box, we need to adjust for the error in recording.

Let's calculate the total number of defective parts based on the recorded data:
Total defective parts = 50 boxes * 1.12 average defective parts per box = 56 defective parts

Next, let's calculate the correct total number of defective parts:
Correct total defective parts = Total defective parts - 10 (error in recording) + 1 (actual number of defective parts) = 56 - 10 + 1 = 47 defective parts

Now, we can find the actual average number of defective parts per box:
Actual average defective parts per box = Correct total defective parts / 50 boxes = 47 / 50 = 0.94

After analyzing the given information and performing the calculations, we can conclude:

- Quantity A: The actual average number of defective parts per box is 0.94
- Quantity B: 0.94

Since both Quantity A and Quantity B are equal to 0.94, the relationship between the two quantities is equal. Therefore, the correct answer is option C: The two quantities are equal.
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Directions: Select one of the following answer choices.Q. 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: The actual average number of defective parts per boxQuantity B: 0.94a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer?
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Directions: Select one of the following answer choices.Q. 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: The actual average number of defective parts per boxQuantity B: 0.94a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select one of the following answer choices.Q. 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: The actual average number of defective parts per boxQuantity B: 0.94a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select one of the following answer choices.Q. 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: The actual average number of defective parts per boxQuantity B: 0.94a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer?.
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