How will you calculate the mean of the sampling distribution of the sample mean with size given the elements of the population?*1 pointAdd the elements of the population and divide the sum by n.Add the elements of the population and multiply the sum by the number of elements in the population.Arrange the elements in the population in ascending order and find the middle element.Add the elements of the population and divide the sum by the number of elements in the population.
Question
How will you calculate the mean of the sampling distribution of the sample mean with size given the elements of the population?*1 pointAdd the elements of the population and divide the sum by n.Add the elements of the population and multiply the sum by the number of elements in the population.Arrange the elements in the population in ascending order and find the middle element.Add the elements of the population and divide the sum by the number of elements in the population.
Solution
To calculate the mean of the sampling distribution of the sample mean with a given size, you would use the fourth option: "Add the elements of the population and divide the sum by the number of elements in the population."
Here are the steps:
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Add up all the elements in the population. This gives you the total sum of the population.
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Count the number of elements in the population. This gives you the size of the population.
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Divide the total sum of the population by the size of the population. This gives you the mean of the population.
This mean is also the mean of the sampling distribution of the sample mean, regardless of the sample size. This is a result of the Central Limit Theorem, which states that the sampling distribution of the sample mean will be normally distributed with a mean equal to the population mean, given a sufficiently large sample size.
Similar Questions
A certain population is composed of the numbers 4, 5, 6 and 7. What is the mean of the sampling distribution of the sample mean if each sample contains two elements?Round off your answer to the nearest tenth.*2 pointsYour answer
What is the relationship between the mean of a population and the mean of the sampling distribution of the sample mean?*1 pointThey are equal.They are reciprocals of each other.The mean of the population is twice the mean of the sampling distribution.The mean of the sampling distribution is the square root of the population mean.
What do you call the distribution formed when the mean of all possible sample means for a specific sample size is calculated?*1 pointmean distribution of the sample meanfrequency distribution of the sample meansampling distribution of the sample meancumulative distribution of the sample mean
The mean of the sampling distribution of the sample mean of a given population is equal to the ___________ of that population.*1 pointerror estimatemeanvariancestandard deviation
The mean of the distribution of sample means is equal to... the population mean the mean of the population times sigma the population variance the sample variance
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