Question 1 Historically the birth weights of babies born in Australia is known to follow an approximately normal model with a mean of 3300g and a standard deviation of 450g. (a) Based on this normal distribution above, what weight is the largest 3% of babies? (b) Based on this normal distribution above, what proportion of babies are between 2850g and 3400g? (c) Explain the 68-95-99.7 rule in the context of THIS problem? (d) Based on this normal distribution, what proportion of babies weigh more than 3675g? Question 2 This question uses information from the data file bt2016.sav found on the StudyDesk (also see bt2016.txt for more details about the study and the variables measured). Make sure the variable view in SPSS is setup correctly with all 'labels' correctly defined (with units), all 'values' assigned correctly for categorical variables and the correct 'measure' selected for all variables. A researcher is interested if there is a relationship between the birth weight of a baby and the smoking status of the mother. As a first look at the data, the researcher wishes to examine if there is an association between "birthweight category" and "smoking status". This question will examine the relationship between "birthweight category" and "smoking status" to see if there is a relationship between the two variables. (a) (4 marks) Using SPSS produce a contingency table to display the relationship between "birthweight category" and "smoking status" for the participants involved in the study. Include an appropriate title, in the context of this problem. (b) (2 marks) What proportion of mothers who have never smoked, had a baby with a birth weight less than 3000g?