Question

A sample of 20 alcoholic fathers showed that they spend an average of 2.3 hours per week playing with their children with a standard deviation of 0.54 hours. A sample of 15 nonalcoholic fathers gave a mean of 3.45 hours per week with a standard deviation of 0.8 hours. a) Test at 1% significance level whether the mean time spent per week playing with their children by all alcoholic fathers is less than that of nonalcoholic fathers and state the assumption(s) required for the test. b) Construct a 95% confidence interval for the difference between the mean times spent per week playing with their children by all alcoholic and all nonalcoholic fathers.

Answer 1

We conduct unequal variances t-test. Assumption required is: both samples are taken from Normal populations.