3. {Three parts; 6 marks in total} The gestation time {time} between fertilization and birth fora mammal is related to the birth weight {weight} by the relationship, #{ln{rime) | weight) = ,30 +lweight. The approximate gestation time and birth weights {in kg} of 11 selected mammals were recorded. The least squares estimate of the regression line was observed to be {ln{r1'me)| weight] = 5231+ 0.011weigkt . Assume all the required assumptions for this model are satisfied. a} {2 marks) 0n the original scale, estimate the difference in gestation time for mammals with birth weights that differ by 1 kg. b] {2 marks) A 95% confidence interval forthe slope of this regression line is {0.006, 0.015}. Interpret this confidence interval on the original scale. c] {2 marks) A 95% prediction interval for the natural log of gestation time ofa lion that weighs 1.2 kg at birth is {4.59, 5.90]. Interpret this prediction interval on the original scale. 4. (4 marks] The pooled twosample ttest, the pairedsample ttest, singlefactor ANOVA, and simple linear regression analysis all have assumptions about normality. However, the specific requirements are different. Therefore, explain what the specific requirements for normality are for these four types of analyses. [Note: You do not need to mention any of the other assumptions, just normalitv.]