Question: 17. A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of

 17. A consumer group was interested in comparing the operating timeof cordless toothbrushes manufactured by two different companies. They took a randomsample of 10 toothbrushes from Company A and 15 from Company B.

17.

Each was charged overnight and the number of hours of use beforeneeding to be recharged was recorded. Company A toothbrushes operated for anaverage of 119.7 hours with a standard deviation of 3.74 hours; CompanyB toothbrushes operated for an average of 120.6 hours with a standarddeviation of 1.72 hours. Do these samples indicate that Company B toothbrushes

A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of 10 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 3.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. Do these samples indicate that Company B toothbrushes operate more hours on average than Company A toothbrushes? Carry out a hypothesis test using a significance level of 0.07 to test the given claim. Note: Subscript 1 refers to Company A, subscript 2 refers to Company B For ratio A/B . A is the larger variance and B is the smaller variance (define in myLab). ()Do not reject the null hypothesis of /41 % Ag with a p-value of 0.8012. There is no evidence that Company B toothbrushes operate more hours on average than Company A toothbrushes. ()Do not reject the null hypothesis of /41 2 2 with a p-value of 0.1853. There is no evidence that Company B toothbrushes operate more hours on average than Company A toothbrushes. ()Reject the null hypothesis of /j >: Ag with a p-value of 0.0185. There is evidence that Company B toothbrushes operate more hours on average than Company A toothbrushes. (Do not reject the null hypothesis of /1 . My with a p-value of 0.8147. There is no evidence that Company B toothbrushes operate more hours on average than Company A toothbrushes. ()Do not reject the null hypothesis of /1 > q with a p-value of 0.1908. There is no evidence that Company B toothbrushes operate more hours on average than Company A toothbrushes. None of these options

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