A batch containing a very large number of reels of synthetic fibers has arrived

Question

A batch containing a very large number of reels of synthetic fibers has arrived at the rope makers. The fibers are required to have a mean breaking strain of at least 500g. To check whether the batch is acceptable, a piece was cut from each of 10 reels and the breaking strain was measured, resulting innormally distributed data which produced the 95% confidence interval (505.23, 515.72) for the true mean breaking strength. Which of the following is the most appropriate conclusion and reason for that conclusion?

Explanation / Answer

The conclusion is that we should accept the batch.

The interval shows values that are greater than 500.

Because 500 is less than the lower limit of the interval, we should accept the batch.

The correct answer is A.

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