Analysis of Birth Weight of African Elephants born in Captivity using R

Shape of Distribution

1 Part I: Birth weight of African elephants born in captivity Dale (2010) investigated various characteristics of newborn African elephants born in captivity. Here we will look at the birth weight of 30 female African elephants. The file s2040DE_W20_birthweight contains the birth weight (kg) of these elephants. You must import this data into R to carry out the analysis.
For your write-up to be complete, you must:
• Plot a boxplot of the weights.
• Plot a normal quantile-quantile plot of the weights. Include the appropriate line on your QQ plot.
• Comment on the shape of the distribution. (You may refer to both the boxplot and the normal qq plot when commenting on the shape.) Comment on whether the normality assumption of the t procedures appears to be justified.
• Suppose we decide to use the t procedures to analyze this data. Use R to calculate a 95% confidence interval for the population mean weight. Include the output from R in your submission.
• Assume that the sample can be thought of as a random sample of female African elephants born in captivity. Give an appropriate interpretation of the 95% confidence interval given byR, in the context of the problem.
• If you feel there is an appropriate hypothesis test to carry out on this data (for just the data in the data set, and not any other data from the paper), then carry it out and properly interpretthe results. If you do not feel there is a natural hypothesis test of interest in this situation,then say so and justify your position.
• Read the “Methods and Procedures” section of the paper. Comment on the sampling designused in this study, and how that might impact our statistical inference procedures and theconclusions and interpretations we draw from them.