During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with inches. Is the director justified that male students who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed.
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