Researchers at the University of Mississippi wanted to determine whether the reaction time (in seconds) of males differed from that of females to a go/no go stimulus. The researchers randomly selected 20 females and 15 males to participate in the study. The go/no go stimulus required the student to respond to a particular stimulus and not to respond to other stimuli. The results are as follows:

(a) Is it reasonable to use Welch€™s t-test? Why
(b) Test whether there is a difference in the reaction times of males and females at the α = 0.05 level of significance.
(c) Draw boxplots of each data set using the same scale. Does this visual evidence support the results obtained in part (b)?

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Female Students Male Students 0.588 0.652 0.442 0.293 0.375 0.256 0.427 0.340 0.636 0.391 0.367 0.654 0.563 0.405 0.377 0.646 0.403 0.377 0.374 0.465 0.402 0.380 0.403 0.617 0.434 0.373 0.488 0.337 0.443 0.481 0.613 0.274 0.224 0.477 0.655