Assume that the mean of a population statistic is 3.5 and the standard deviation
ID: 3058311 • Letter: A
Question
Assume that the mean of a population statistic is 3.5 and the standard deviation for the population is 2.7.
A. Suppose that, we randomly sample 100 individuals from that population. We calculate the mean of this sample and record the value. We repeat this thousands of times. What will be the (approximate) mean value of the distribution of these thousands of sample means?
B. Refer to part A. What will be the standard deviation of this distribution of thousands of sample means?
(Type your answer in the form of an integer or a decimal. Do not round.)
Explanation / Answer
Assume that the mean of a population statistic is 3.5 and the standard deviation for the population is 2.7.
A. Suppose that, we randomly sample 100 individuals from that population. We calculate the mean of this sample and record the value. We repeat this thousands of times. What will be the (approximate) mean value of the distribution of these thousands of sample means?
B. Refer to part A. What will be the standard deviation of this distribution of thousands of sample means?
(Type your answer in the form of an integer or a decimal. Do not round.)
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