Question

A researcher is interested in comparing two teaching methods for slow learners. In particular, the researcher wants to determine if a new method of teaching is better (gives higher scores) than the standard method currently used. Type I error rate is set at alpha=0.05. Ten slow learners are taught by the new method and 12 by the standard method. The results of a test at the end of the semester are given below (assume that the normal distribution with equal variances assumptions are satisfied) Test scores (new method): 80, 76, 70, 80, 66,85, 79,71,81,76. Test scores (standard method): 79,73,72,62, 76, 68, 70, 86,75, 68, 73,66. What is the appropriate research hypothesis? (assume mu_1 = true mean of all scores under new method, and mu_2=true mean of all scores under standard method) sample mean scores of the new method is higher than that of the standard method Omu_1 - mu_2 is "not equal to zero mu 1 - mu 2 > O mu_1-mu 2 <0

Answer 1

Here,

$\mu_{1}:$true mean of all scores under new methods

treu mean of all scores under standard methods.

12

Here the researcher want to test the if a new methods of teaching is better than standard methods of teaching.

The hypothesis are given by,

$\therefore H_{0}:\mu_{1}-\mu_{2}=0$

$\therefore H_{1}:\mu_{1}-\mu_{2}>0$

The alternative hypothesis is called researcher hypothesis

So, $\therefore H_{1}:\mu_{1}-\mu_{2}>0$

i.e, mu_1-mu_2>0

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