Showing in Hypothesis Testing

MathDenote the observations `x_i`, `i = 1,2,3,...,10` Then the mean `bar(x)` is given by `bar(x) = sum_1^10 x_i/10 = 70.5` and the standard deviation is given by `sd(x) = sqrt(V(x)) = sqrt(sum_1^10...

MathDenote the (binary  value 0 or 1) observations from the two populations `x_i` , `i=1,2,...,n_x` and `y_j`, `j=1,2,...,n_y` where `n_x = 280` and `n_y =350`. We are given that `sum_i x_i = 132`...

Hypothesis TestingWhen we say that a hypothesis is an “idea on trial” we mean that it has been proposed as an explanation for something but has not yet been confirmed or proven. Thus, the idea is “on trial”...

Matht represents a tstatistic. This will usually be of the form (observationexpected value under null)/estimated sd. With the tdistribution the number of degrees of freedom is important when...