A university research team was studying the relationship between idea generation by groups with and without a moderator. For a random sample of four groups with a moderator, the mean number of ideas generated per group was 78.0, and the standard deviation was 24.4. For a random sample of four groups without a moderator, the mean number of ideas generated was 52.5, and the standard deviation was 10.2. Test at the 5% significance level the assumption that the two population variances were equal against the alternative that the population variance is higher for groups with a moderator. Assume a normal distribution.