00:01
Hello student, yesterday was a non -proctored and non -proctored test.
00:07
So we have given n1 is equal to 30, x bar 1 is equal to 78 .57 and s1 is equal to 10 .53.
00:18
We have given n2 is equal to 33 and we have given x bar 2 is equal to 82 .56 and s2 is equal to 19 .29.
00:33
Now here we have to test the claim that student taking proctored test getting higher mean score than taking a proctored test.
00:45
So here mu1 is equal to mu2 and for non -proctored test the mean is higher.
00:53
So here we use a independent sample t -test.
00:57
So here t is equal to x bar 1 minus x bar 2 upon pooled standard deviation divided by into square root of 1 upon n1 plus 1 upon n2.
01:14
Now first we calculate the pooled standard deviation.
01:18
So here s square p, so first we calculate pooled variance.
01:24
So n1 minus 1 which is equal to 29 into s1 square that is 10 .53 square plus 32 into 19 .29 square divided by 30 plus 33 minus 2...