Answer:
The teacher select a sample of n =15 students. And he wanted to know if teaching a smaller class was more effective and students performed better, that means if
and he obtaind a sample mean of
.
Based on this the correct system of hypothesis are:
Null hypothesis: ![\mu =78](https://tex.z-dn.net/?f=%5Cmu%20%3D78)
Alternative hypothesis: ![\mu >78](https://tex.z-dn.net/?f=%5Cmu%20%3E78)
And the best option for this case is:
a. H0:
vs. H1:
.
Step-by-step explanation:
For this case we have the following previous info given:
represent the true mean
represent the true deviation
The teacher select a sample of n =15 students. And he wanted to know if teaching a smaller class was more effective and students performed better, that means if
and he obtaind a sample mean of
.
Based on this the correct system of hypothesis are:
Null hypothesis: ![\mu =78](https://tex.z-dn.net/?f=%5Cmu%20%3D78)
Alternative hypothesis: ![\mu >78](https://tex.z-dn.net/?f=%5Cmu%20%3E78)
And the best option for this case is:
a. H0:
vs. H1:
.