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Suppose a researcher wants to learn more about the mean attention span of individuals in some...

Suppose a researcher wants to learn more about the mean attention span of individuals in some hypothetical population. The researcher cites that the attention span (the time in minutes attending to some task) in this population is normally distributed with the following characteristics: 20+_36.

Based on the parameters given in this example, answer the following questions:

a. What is the population mean (μ)?

b. What is the population variance?

c. Sketch the distribution of this population. Make sure you draw the shape of the distribution and include the mean plus and minus three standard deviations. (I want this answer)

Now say this researcher takes a sample of four individuals (n = 4) from this population to test whether the mean attention span in this population is really 20 minutes attending to some task.

d. What is the mean of the sampling distribution for samples of size 4 from this population? Note: The mean of the sampling distribution is What is the standard error for this sampling distribution? Note: The standard error of the sampling distribution is.

e. Based on your calculations for the mean and standard error, sketch the sampling distribution of the mean taken from this population. Make sure you draw the shape of the distribution and include the mean plus and minus three standard errors. (I want this answer)

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