Question

Explain what one-sample hypothesis testing is used for and why it is used

Answer 1

One sample hypothesis testing ----

Suppose we have n random samples from some population as .
We can test various thing about population parameters
Consider, is the population mean and is population variance
Then various hypothesis testings are ----

1) For mean

a)
Null hypothesis:
Alternative hypothesis:

b)
Null hypothesis:
Alternative hypothesis:

c)
Null hypothesis:
Alternative hypothesis:

2) for variance

a)
Null hypothesis:
Alternative hypothesis:

b)
Null hypothesis:
Alternative hypothesis:

c)
Null hypothesis:
Alternative hypothesis:

We can also test and simultaneously.