A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Bart, and Carlos and 1 female named Debbie. 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. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator. OB. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is a biased estimator. OC. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased 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 3 males named Alfonso, Bart, and Carlos and 1 female named Debbie. 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. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator. OB. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is a biased estimator. OC. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Bart, and Carlos and 1 female named Debbie. 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
IT
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. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator.
O B. 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 C. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased 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%2Faa4fddc1-58a6-451b-9a0d-9768cf8f4096%2F05f2116e-37e2-43cf-bb65-a638f748f5f4%2Ftg6xti_processed.png&w=3840&q=75)
Transcribed Image Text:A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Bart, and Carlos and 1 female named Debbie. 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
IT
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. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator.
O B. 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 C. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman