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
Question
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
Solution
To find the mean of the sampling distribution of the sample mean, we first need to find the mean of the population.
Step 1: Find the mean of the population The mean (also known as the average) is found by adding all the numbers in the population and dividing by the number of elements in the population.
So, the mean of the population is (4 + 5 + 6 + 7) / 4 = 5.5
Step 2: Find the mean of the sampling distribution of the sample mean The mean of the sampling distribution of the sample mean is equal to the mean of the population.
So, the mean of the sampling distribution of the sample mean is also 5.5.
Therefore, the mean of the sampling distribution of the sample mean, rounded to the nearest tenth, is 5.5.
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