Question
You may believe that each day, men and women spend about the same amount of time using Facebook. We would like to test this hypothesis.
You may believe that each day, men and women spend about the same amount of time using Facebook. We would like to test this hypothesis. A random sample of 45 women had a mean daily time of 4.0 minutes. A random sample of 39 men spent an average of 4.4 minutes each day on Facebook. Assume that the daily Facebook time for women has a population standard deviation of 1.2 minutes. Also assume that the daily Facebook time for men has a population standard deviation of 1.1 minutes. Using the 0.05 significance level, do men and women differ in the amount of time spent on Facebook each day?
a.State the decision rule for 0.05 significance level:H0:men=womenH1:menwomen.(Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
b.Compute the test statistic.(Negative amounts should be indicated by a minus sign. Round your answer to 2 decimal places.)
c.What is thep-value?(Round your answer to 4 decimal places.)
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