Answer to Question #325520 in Statistics and Probability for wiwili

Question #325520

"An electrical firm produces light bulbs that have a length of life that is approximately normally distributed with a mean of 870 hours and a population standard deviation of 27 hours. A new version of light bulbs is being produced and is assumed to be better than the previous version. To test this claim, a random sample of 59 new light bulbs are tested. Would you buy the new version of the light bulb or would you buy the older version if the random sample showed an average of 720 hours? Use a 0.05 level of significance."

a. I will buy the new version.

b. I will certainly buy the older version because I am 100% sure it is better.

c. There is no sufficient data to make a sound conclusion.

d. I will buy the older version until there is sufficient evidence to do otherwise.