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A recent research study reported that Americans spend an average of 3.6 hours on social media...

A recent research study reported that Americans spend an average of 3.6 hours on social media - per person per day. If the standard deviation for the number of hours of social media per day is 3 and a random sample of 145 Americans is selected for further study, answer the following questions about the sampling distribution:

1) The mean of this sample of n=145 belongs to a sampling distribution. What is the shape of this sampling distribution?

2) What is the mean of all the samples - the "Expected value of the Mean"?

3) What is the standard deviation of the sampling distribution?  

4) If alpha = .05, and the sample mean was 4.5 hours per day of social media, was this an unusual sample - yes or no?  

5) If the sample size were 50, what would the mean of the sampling distribution be?

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