Question 755400: PLEASE can some help me with this one!!
A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana, and Erin. Assume that two fruit flies are randomly selected with replacement.
a. After listing the possible samples and finding the proportion of males in each sample, use a table to describe the sampling distribution of the proportion of males.
Proportion of males Probability
0 [ ]
0.5 [ ]
1 [ ]
(Type integers or fractions)
b. Find the mean of the sampling distribution
µ = [ ] (Round to two decimal places as needed)
c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of males? If so, does the mean of the sampling distribution of proportions always equal the population proportion?
A. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is a biased estimator.
B. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.
C. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator.
D. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana, and Erin. Assume that two fruit flies are randomly selected with replacement.
a. After listing the possible samples and finding the proportion of males in each sample, use a table to describe the sampling distribution of the proportion of males.
---
total # of pairs because of replacement: 4^2 = 16
2 males::bb
1 male:::bc,cb,bd,db,be,eb
0 males::9 pairs
--------------------------------
Proportion of males Probability
0 males::::::[9/16]
1 male::::[6/16]
2 males:::[1/16]
-------------------------
(Type integers or fractions)
b. Find the mean of the sampling distribution
u = (9/16)*0+(6/16)*1+(1/16)*2 = 8/16 = 1/2
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c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of males?
No; the proportion of males is 1/4
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If so, does the mean of the sampling distribution of proportions always equal the population proportion?
A. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is a biased estimator.
B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.
C. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator.
D. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimatorA genetics
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Ans: Either A or B is the answer. Not sure which one.
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Cheers,
Stan H.
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