What is the standard error of the sampling distribution?

Explain what the standard error means in words.

b. Use the information from Part a to draw the sampling distribution for Beyoncé’s favorability ratings if the polling firm were to take many repeated samples. Be sure to label the appropriate values at the center of the distribution and the first and second standard errors. Show how you found the values for the standard errors.

c. Describe the difference between the appearance of the distribution of values from the sample of one hundred respondents shown in Figure 7.24 and the appearance of the sampling distribution that you drew for Part

b. Why do we observe the difference?

d. What is the probability that a mean greater than the sample mean of 82.5 would be randomly drawn from all of the random samples conducted by the polling firm?