In an unpaired two-sample problem an experimenter observes n = 10.  = 7.76. sx = 1.07 from population A and m = 9,  = 6.88. Sy = 0.62 from population B.
(a) Construct a 99% one-sided confidence interval μA - μB ∈ (c, ∞) without assuming equal population variances.
(b) Does the value of c increase or decrease if a confidence level 95% is used?
(c) Consider a one-sided hypothesis test of H0: μA < μB versus HA: μA > μB without assuming equal population variances. Does a size α = 0.01 test accept or reject the null hypothesis'.' Write down an expression for the exact p-value.