Western Pygmy-Possum. The foraging behavior of the western pygmy-possum was investigated in the article “Strategies of a Small Nectarivorous Marsupial, the Western Pygmy-Possum, in Response to Seasonal Variation in Food Availability” (Journal of Mammalogy, Vol. 96, No. 6, pp. 1525–1535) by D. Morrant and S. Petit.

The weights of adult male pygmy-possums in Australia are normally distributed with a mean of 8.5 g and a standard deviation of 0.3 g.

a. Sketch the normal curve for the pygmy-possum weights.

b. Find the sampling distribution of the sample mean for samples of size 4. Draw a graph of the normal curve associated with x¯.

c. Repeat part

(b) for samples of size 9.