Question: Heights for teenage boys and girls were calculated. The mean height for the sample of 12 boys was 174 cm and the variance was 62. For the sample of 12 girls, the mean was 166 cm and the variance was 65. Assuming equal variances and normal distributions in the population,
(a) What is the 95% confidence interval on the difference between population means?
(b) What is the 99% 364 confidence interval on the difference between population means?
(c) Do you think it is very unlikely that the mean difference in the population is about 5? Why or why not?