question archive A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies
Subject:StatisticsPrice: Bought3
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of 77 toothbrushes from Company A and 66 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 of 120.9 hours with a standard deviation of 3.97 hours before needing a charge; Company B's toothbrushes operated for an average of 1200 hours with a standard deviation of 3.76 hours before needing a charge. The consumer group wants to test if these samples indicate that Company A's toothbrushes operate more hours on average than Company B's toothbrushes. In other words, their alternative hypothesis is H A 2 MA — MB > 0.What is the test statistic (t-statistic) associated with this test, assuming a two-Sample t-test?
