Do piano lessons improve the spatial-temporal reasoning of preschool children? The data in the table below contain the change in spatial-temporal reasoning (after treatment minus before treatment) of 34 children who took piano lessons, 10 who took singing lessons, 20 who had some computer instruction, and 14 who received no extra lessons.
(a) Make a table giving the sample size, the mean, the standard deviation, and the standard error for each group.
(b) Analyze the data using one-way analysis of variance. State the null and alternative hypotheses, the test statistic with degrees of freedom, the P-value, and your conclusion.