Question

I have calculated the following

Sample mean: 80.91.

The actual population mean = 82.51

How would I test the hypothesis that

H0 = Population mean HA ≠ Population mean

Answer 1

Here hypothesis is vs

Further we are given sample mean as

Now to do the hypothesis testing we should know whether population standard deviation is known or not, if yes we will use z statistics or n>30 so we will use z test

Else we will use t test

After find test statistics

We will find P value and compare with alpha

If P value is less than alpha, we reject rest we fail to reject the null hypothesis