A computer program has produced the following output for the hypothesis testing problem:
Difference in sample means: 11.5
Degrees of freedom: 24
Standard error of the difference in the sample means:?
Test statistics: t_0=-1.88
P-Value = 0.0713
1. What is the missing value for the standard error?
2. Is this a two-sided or one-sided test?
3. If α=0.05, what are your conclusions?
4. Find a 90% two-sided CI on the difference in the means.