Answer to Question #343416 in Statistics and Probability for Carla

Question

A classroom teacher hypothesizes that using lecture method in teaching specific lesson is the same as teaching it using demonstration method in terms of students learning. This means that students who were taught using the lecture method would perform similary(say on test)than those were taught using demonstration method. Formulate the null and alternative hypothesis in sentence and in symbol.

Answer 1

Let $X=$ the score on the test.

The following null and alternative hypotheses need to be tested:

$H_0:$ the mean score of students who were taught using the lecture method would and the mean score of those were taught using demonstration method are equal.

$H_0:\mu_1=\mu_2$

$H_0:$ the mean score of students who were taught using the lecture method would and the mean score of those were taught using demonstration method are different.

$H_1:\mu_1\not=\mu_2$