A genetics experiment involves a population of fruit flies consisting of 1 male

Question

A genetics experiment involves a population of fruit flies consisting of 1 male named Barry and 3 females named Charlene. Debbie, and Emily. Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. (Type integers of fractions) b. Find the mean of the sampling distribution. mu = (Round to two decimal places as needed) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of females? If so does the mean of the sampling distribution of proportions always equal the population proportion? A. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is an unbiased estimator. B. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is a biased estimator. C. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. D. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is an unbiased estimator. Click to select your answer(s).

Explanation / Answer

total number of samples : 10

P( 2 female sample) = 0.60

P(1 female sample) = 0.30

P(0 female sample) = 0.10

(b) Mean = 0.60 *1+0.30*0.5+0.10*1= 0.75

(c) population prop of females = 3/4 =0.75

(A) Yes, the sample mean is equal to the popualtion prop of females. These values are always equal because proportion is an unbiased estimator.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.