Researchers Examined the Bill Color (In Hue Degree) of Male

Multiple Choice

Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are some summary statistics from the study:
$$\begin{array} { | l | l | l | l | } \hline \text { Sex } & \boldsymbol { n } & \text { Mean } & \text { Standard Deviation } \\\hline \text { Males } & 59 & 2.91 & 1.46 \\\hline \text { Females } & 60 & 7.42 & 2.48 \\\hline\end{array}$$ We wish to address the question, How different are male and female zebra finches in bill color? What is the margin of error for a 95% confidence interval for the difference in mean bill color ?_F-?_M (in hue degree) ?

A) 1.40
B) 1.02
C) 0.83
D) 0.74