Answer:
Step-by-step explanation:
Given that a statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years.
Mean = 78 and std dev =10
Next time, sample size n was reduced to 25
For smaller sample size the mean was found to be = 83
The teacher wanted to know if teaching a smaller class was more effective and students performed better
ie comparison of two means of two samples should be done with different sample sizes but same teacher.
Hence hypothesis should be:
where x denotes the I sample and Y the second with 25 students.