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?