Conduct a hypothesis test at a 5 significance level to see

Question

An experiment was conducted to test the effects of alcohol. The errors were recorded in a test of visual and motor skills for a treatment group of people who drank alcohol and another group given nonalcoholic drink. The results are shown below. The populations from which the sample are drawn are normally distributed. Conduct a hypothesis test at a 5% significance level to see if there is a difference between the mean errors for each group.

Treatment Placebo

x₁ = 3.2 x_{2 = 1.71}

s_{1 = 2.2} s₂ = 0.72

n₁ = 28 n_{2 = 28}