4. [4 marks] A group of researchers is studying the levels of cortisol (a hormone that reects stress} in a population of women. They have recorded the measurements on 64 women on the logarithmic scale, i.e., x,- is the logarithm of the cortisol level of the I'm woman, i = 1, ...,64. a. {2 marks} The researchers want to compute the sample mean of the cortisol measurements on the original (not the logarithmic] scale. Mandy says that they should exponentiate the sample mean of the measurements. Kate says that they should talte the sample mean of the exponentiated measurements. Which of the approaches, if any, are correct? h. {2 marks} The researchers want to compute the sample median of the cortisol measurements on the original (not the logarithmic) scale. Mandy says that they should exponentiate the sample median of the measurements. Kate says that they should take the sample median of the exponentiated measurements. Which of the approaches. if any, are correct? 5. [4 marks] A poultry farmer is interested in how the egg production [in gramsfdayj of hens depends on their age (in weeks]. His data on the egg production and age of 35 hens are available in the le pou 1t ry . txt. a. {2 marks} Create a scatterplot of egg production vs. age. h. {2 marks} What does your seatterplot suggest about the relationship between egg production and age