A genetics experiment involves a population of fruit flies consisting of 1 male named Christian and 3 females named Diana, Emily, and Fran. 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 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. (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? O 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. O B. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator. OC. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator. O D. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.
A genetics experiment involves a population of fruit flies consisting of 1 male named Christian and 3 females named Diana, Emily, and Fran. 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 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. (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? O 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. O B. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator. OC. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator. O D. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![A genetics experiment involves a population of fruit flies consisting of 1 male named Christian and 3 females named Diana, Emily, and Fran. 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
0.5
1
(Type integers or fractions.)
b. Find the mean of the sampling distribution.
(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?
O 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.
O B. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator.
OC. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator.
O D. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86887e2f-17a0-43d2-a0ad-d92ccddb24d1%2F0c6f88e3-b6da-4e86-9b5c-17ca4b89064f%2Frkx30sq.gif&w=3840&q=75)
Transcribed Image Text:A genetics experiment involves a population of fruit flies consisting of 1 male named Christian and 3 females named Diana, Emily, and Fran. 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
0.5
1
(Type integers or fractions.)
b. Find the mean of the sampling distribution.
(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?
O 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.
O B. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator.
OC. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator.
O D. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.
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