Question

Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are some summary statistics from the study: Males 59 Mean 2.91 7.42 Standard Deviation 1.46 2.48 Females 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 MF - um (in hue degree)? A) 1.40 B) 1.02 C) 0.83 D) 0.74

Answer 1

Date: Here to let, I = sample mean of female, z sample mean of male Difference . Q- y) = 7.42-2.91 = 4.51 $ is given Margin of erron is given by & by d = this alt 82 where $22 (Dery , 7 (92-1) sz - nitn2-2 Die sample size of females = 60 n2 = sample size_of_males = 59 * $? 59x (2.48)2 + 58. X (1-46124.158174 60 + 59-2

Udle: tatato = critical value | n = D1 + ha-2 = 60 +9-2 = 4. দণ্ডত + 19 854416-- * Margin of error d=499০ ৭৫+s_ X IS8\4 1 . .039৭৭৪৩৭