18) A random sample of newly designed light-bulbs were tested to determine if th

Question

18) A random sample of newly designed light-bulbs were tested to determine if the mean lifetime is greater than 1600 hours. The test gave a p-value of 0.04. Which of the following is the literal interpretation of the p-value? a) On average, the new light bulb lasts 496 longer than 1600 hours. b) 4% of new light bulbs will last longer than 1600 hours. c) If the true mean is 1600 hours, we would expect to get a sample mean this far above 1600 only 4% of the time. d) There is a 4% chance that the mean lifetime for the new bulb is 1600 hours. e) There is a 4% chance that the mean lifetime for the new bulb is greater than 1600 hours. f) 4% of the time the new light bulb will last longer than 1600 hours.

Explanation / Answer

18 ) c ) If the true mean is 1600 hours , we would expect to get a sample mean this far above 1600 only 4 % of the time .

The correct option is ( c ) .

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