Researchers at the University of Mississippi wanted to discover whether variability for reaction time to a go/no go stimulus of males was different from that of females. 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 data are as follows:

Normal probability plots indicate that the requirement of normality is satisfied. The output shown is from a TI-84 Plus C.

(a) Use the results to determine whether there is a difference in variability of reaction time in males and females at the α = 0.05 level of significance.
(b) Draw boxplots of each data set, using the same scale. Does this visual evidence support the results obtained in part (a)?

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Female Students 0.588 0.403 0.293 0.377 0.613 0.377 0.391 0.367 p.442 0.274 0.434 0.403 0.636 0.481 0.652 0.443 0.380 0.646 0.340 0.617 Male Students 0.375 0.477 0.374 0.465 0.402 0.337 0.655 0.488 0.427 0.373 0.224 0.654 0.563 0.405 0.256 HORHAL FLOAT AUTO REAL RADIEM HP SameFTest F=. 9674532069 p=,9276177898 Sx1=.122578986 Sx2=. 124623815 X1=. 45785 2=.4316666667 ni=20