Question
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of 69
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of 69 toothbrushes from Company A and 28 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A's toothbrushes operated for an average of120.7 hours with a standard deviation of3.26 hours before needing a charge; Company B's toothbrushes operated for an average of119.5 hours with a standard deviation of3.51 hours before needing a charge. The consumer group wants to test if thesesamples indicate that Company A's toothbrushes operate more hours on average than Company B's toothbrushes. In other words, their alternative hypothesis is Ua- Ub >0.What is the test statistic (t-statistic) associated with this test, assuming a two-Sample t-test?
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