Question

The t-test paired scores go like that:

t = 8.812, df = 46, p-value = 0.00000000001936
CI (95%): 3.677283 & 5.854632
The mean of the differences: 4.765957
Decide whether statements below are true and explain why:
1) Classical hypothesis testing would recognize a significant difference here
2) Because the estimates of means are different, with 95% there is a difference between the means in the (imaginary) population,

3)The confidence interval includes 0, so it’s possible that there is no real difference,

4) The top confidence interval is quite high, so it would tell us, that likely there is a real difference between the means

Answer 1

The solution to this problem is given by