As part of the foraging behavior assessment described in the previous problem, investigators also measured the bill depths of the male and female Downy Woodpeckers. Summary statistics for these measures are given in the table below: An initial analysis of the data revealed that it was reasonable to assume the bill depths for both sexes are approximately normal.
a) Construct a 95% confidence interval for the difference in bill depths of the males and females.
b) Do the data indicate that the bill depths differ? Justify your answer statistically.
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