Question

In a study of the Gouldian finch, Griffith et al. (2011) looked at stress caused by having an incompatible mate. There are two genetically distinct types of Gouldian finches, one having a red face and the other having a black face. Previous experiments have shown that female finches have a strong preference for mating with males with the same face color as themselves, and that when different face types of finch mate with one another, their offspring are less likely to survive than when both parents are the same type. Researchers paired females sequentially with males of both types in random order. In other words, each female bred twice, once with a compatible male and once with an incompatible male. Each time, females produced a brood of young with the assigned male. For each pairing, the researchers measured blood corticosterone concentration (in units of ng/mL) as an index of the amount of stress the females experienced. Here is a link to a simulated data set of corticosterone levels from 43 females. Calculate the difference in stress levels by subtracting the corticosterone level of the female when matched with a compatible mate from the corticosterone level when matched with an incompatible mate. Plot the distribution of the differences in order to visually assess the distribution. It is EASY to plot the data in a histogram if you have the data analysis add-in installed on Microsoft Excel inlMac). From the Data Analysis window, select histogram, and then make sure Pareto (sorted histogram) and Chart Output are checked. Do you think the data are normally distributed, positively skewed, or negatively skewed? Would a paired t-test be an appropriate analysis for this data (yes or no)? Would a logarithmic transform be an appropriate way of transforming the data? Enter the number of your answer choice from the list below in the answer box 1. Yes, a logarithmic transform would result in normally distributed data. 2. No, a logarithmic transform is inappropriate because the data is already normally distributed. 3. No, a logarithmic transform is inappropriate because there are negative values which would result in an undefined data point. Identify Ho and Ha for a sign test to determine if the corticosterone levels are different when females are paired with compatible or incompatible mates. The median value is equal to zero. The median value is not equal to zero. Use the binomial distribution functionにbnom dist numbers trials, probability false to determine the probability of the single observed distribution if he null hypothesis is true. This value is for a one-tailed sign test; however, we are performing a 2-tailed sign test. You must adjust the equation accordingly. Further, we must also include the probability of getting more than the observed number of successes. So, it is necessary to sum the probabilities for all success rates greater than or equal to the observed success rates, but less than or equal to the total number of trials. If there were 50 trials, and 45 trials were successful. The equation would be used to calculate the probability of 45, 48,47 48, 49, and 50 successes, and these probabilities would be summed together Report your answer in exponential form rounded to two decimal places in the form ###E##, for example if the probability was 0.00000000931, it would be reported as 9.31 E-09 or 9.31 E-9 Do you fail to reject or reject the null hypothesis? Were corticosterone levels the same or different between between the two treatments?

DATA:

Compatible Mate	Incompatible Mate
13	22
13	19
11	64
7	48
7	20
9	90
19	48
11	38
7	33
9	79
13	43
1	30
9	38
23	28
7	22
11	22
7	17
7	24
5	20
13	20
13	17
9	18
5	17
19	28
7	20
13	43
1	48
15	30
15	17
9	12
7	48
5	15
25	12
1	38
7	28
19	53
7	28
29	12
13	48
9	33
15	48
3	59
1	17

BOLD/ CIRCLE YOUR ANSWER

Answer 1

nce n Ste 70m 10 t) sin -lhe dalo axe skewed (u) to : The medi on value ig a to 230 Hothe median valu not epal to