00:01
Hey everyone in this video we have null hypothesis and alternative hypothesis as given in the question that is h0 that is null hypothesis mu 1 minus mu 2 is equal to 0 and ha mu 1 minus mu 2 is not equal to 0 so this is a 2 tailed hypothesis test where n1 is equal to 35 x bar 1 is equal to 13 .6 s 1 is equal to 5 .6 n2 is equal to 40 x bar 2 is equal to 10 .1, s2 is equal to 8 .2.
00:34
Here we will use separate variance, t test, so test statistics value can be calculated as test statistic t is equal to statistics, that is t, which is equal to x bar 1 minus x bar 2 over under root s1 square over n1 plus s2 square over s2.
00:56
X bar 1 minus x bar 2 over under root s 1 square over n1 plus s 2 square over 2 which is equal to 13 .6 minus 10 .1 over under root 5 .6 square over 35 plus 8 .2 square 40 so 13 .6 minus 10 .1 over under root 5 .6 square over 35 plus 8 .2 square over 40.
01:26
After solving this is equal to 2 .18.
01:30
So now the degree of freedom df is equal to the degree of freedom df is equal to s 1 square over n1 plus s2 square over n2 the whole square over s 1 the scale over n1 minus 1 plus s 2 square over n2 the whole square over n2 minus 1.
01:55
So s1 square over n1 the whole square 1 minus 1 plus s2 square over n2 the whole square over n 2 minus 1.
02:07
So now we will substitute the values that is 5 .6 over 35 plus 8 .2 over 40 the whole square over 5 .6 over 35 the square over 35 minus 1 plus 8 .2 over 40 the whole square over 5 .6 over 35 minus 1 plus 8 .2.
02:24
2 over 40 square over 40 minus 1...