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.
Definitions:
Marginal Product
The change in output resulting from employing one more unit of a particular input while holding all other inputs constant.
Total Product
The total quantity of output produced by a firm for a given quantity of inputs.
Marginal Product
The additional output that is generated by adding one more unit of a specific input, ceteris paribus.
Marginal Product
The additional output resulting from the use of one more unit of a variable input, holding all other inputs constant.
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