Two statistics teachers both believe that each has the smarter class. to put this to the test, they give the same final exam to their students. a summary of the class sizes, class means, and standard deviations is given below: n1=53,n2=46,x¯1=87.6,x¯2=79.8,s1=15 .8s2=17.7 n1=53,x¯1=87.6,s1=15.8n2=46,x¯2=79. 8,s2=17.7 is there evidence, at an α=0.05α=0.05 level of significance, to conclude that there is a difference in the two classes? carry out an appropriate hypothesis test, filling in the information requested.