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?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
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.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f2ebe7f-61c2-4fde-964f-8e3a1d8d0de3%2Fa7cdb8f7-0dbb-490f-bfe1-ad404c5202c8%2F39fa6c_processed.jpeg&w=3840&q=75)
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