Question: Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is approximately Normal with a mean of 3668 grams and a standard deviation of 511 grams.8 In this population, the range (maximum - minimum) of birth weights is 3417 grams. We used Fathom software to take 500 SRSs of size n = 5 and calculate the range (maximum - minimum) for each sample. The dotplot below shows the results.

Birth weights

(a) Sketch a graph that displays the distribution of birth weights for this population.

(b) Sketch a possible graph of the distribution of birth weights for an SRS of size 5.

(c) In the graph above, there is a dot at approximately 2750. Explain what this value represents.