In: Statistics and Probability
According to a recent survey, women chat on their mobile phones more than do men. To determine if the same patterns also exist in colleges, Irina takes a random sample of 40 male students and 40 female students in her college. She finds that female students chatted for a sample average of 820 minutes per month, with a sample standard deviation of 160 minutes. Male students, on the other hand, chatted for a sample average of 760 minutes per month, with a sample standard deviation of 240 minutes. It is not reasonable to assume equal population variances. Do the same patterns appear to exist in college? Conduct an appropriate test to answer this question, using the .05 level of significance. Please complete all steps in the test process and please show all work.
Independent samples T-test has been carried out for hypothesis testing. Following are the steps followed:
Thus, at 0.05 significance level, there is not enough evidence to support the claim that women chat on their mobile phones more than do men. In other words, at 0.05 significance level, there is not enough evidence to support the claim that the same patterns appear to exist in college.