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The General Social Survey (GSS) is a survey of approximately 2000 adults conducted each year since...

The General Social Survey (GSS) is a survey of approximately 2000 adults conducted each year since 1972, for a total of 38,000 participants. During several years of the GSS, participants were asked how many close friends they have. The mean for this variable is 7.44 friends, with a standard deviation of 10.98. The median is 5.00, and the mode is 4.00.

1. Now pretend that you randomly selected a sample of 80 people from this population, and that it had a mean of 8.7. Would you compare this sample mean to a distribution of scores or to a distribution of means? Explain your answer.

2. What is the z statistic for this mean? Based on this z statistic, what is the approximate percentile for this sample?

3. Does it make sense to calculate a percentile for this sample? Explain your answer. (Hint: Consider the shape of the distribution.)

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