A random sample of 8 electric bulbs of type 1 and 7 electric bulbs of type II
were tested for the length of life. The mean life of type I and type II bulbs
were found to be 1234 hours and 1036 hours respectively, with standard
deviation of 36 hours and 40 hours respectively. Is the difference in the means
sufficient to warrant an inference at 5% level of significance that type I is
superior to type II regarding the length of life? (Critical value at 5% level of
significance: One tailed = 1.7709, Two tailed = 2.1603).
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