Many companies that manufacture lightbulbs advertise their 60-watt bulbs as having an average life of 1000 hours.A cynical consumer bought 30 bulbs and burned them until they failed.He found that they burned for an average of M = 1233, with a standard deviation of s = 232.06.What statistical test would this consumer use to determine whether the average burn time of lightbulbs differs significantly from that advertised?

Question

Quizplus · Accepted Answer

The appropriate statistical test to determine if the average burn time of the lightbulbs differs significantly from the advertised average is a single-sample t test. This test is used when we have a sample from a population with an unknown mean and we want to compare it to a known population mean. In this case, the advertised average life of the lightbulbs is known, and we want to compare it to the sample mean of burn time. The standard deviation analysis and dependent-samples t test are not applicable in this scenario, and the z-test is only used when we know the population standard deviation.

Many Companies That Manufacture Lightbulbs Advertise Their 60-Watt Bulbs as Having