The World Health Organization has described being overweight as a global epidemic that is rapidly becoming a major public health problem. Body Mass Index (BMI)

data, often used to measure obesity, show strong variability among countries, with New Zealand scoring at the high end. A recent study found the mean BMI for adults

(15 years and older) to be about 26 kg/m2 with a standard deviation of about 3.5 kg/m2, and a roughly Normal distribution.

If the BMI of a sample of 42 adults from New Zealand are collected,

a) what shape should the sampling distribution of the mean have?

b) what would the mean of the sampling distribution be?

c) what would its standard deviation be?

d) If the sample size were increased to 100, how would your answers to parts a–c change?