fractions.) n of the sampling distribution. to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A genetics experiment involves a population of fruit flies consisting of 1 male named Alex and 3 females named Betty, 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
PA
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. 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. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased 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. 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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Transcribed Image Text:A genetics experiment involves a population of fruit flies consisting of 1 male named Alex and 3 females named Betty, 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 PA 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. 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. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased 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. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator. MacBook DII DD 888 F8 F9 F5 F6 F7 esc F3 F4 F1 & # $ 7 8. 1 3 4 P Q W E - R Y tab F G つ K A caps lock M C V alt * 00 B ※口
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