A genetics experiment involves a population of fruit flies consisting of 2 males named Albert and Billy and 2 females named Carla and Dana. 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?

A genetics experiment involves a population of fruit flies consisting of 2 males named Albert and Billy and 2 females named Carla and Dana. 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?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

3. A genetics experiment involves a population of fruit flies consisting of 2 males named Albert and Billy and 2 females named
Carla and Dana. 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?
OA. No, the sample mean is equal to the population proportion of males. These values are not always
equal, because proportion is an unbiased estimator.
OB. Yes, the sample mean is equal to the population proportion of males. These values are always
equal, because proportion is a biased estimator.
Oc. No, the sample mean is equal to the population proportion of males. These values are not always
equal, because proportion is a biased estimator.
OD. Yes, the sample mean is equal to the population proportion of males. These values are always
equal, because proportion is an unbiased estimator.

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