According to the 2010 U.S. Census Bureau Current Population Survey (www.census.gov/population/www/socdemo/hh-fam/cps2010.html), the average number of people in family households which contain both family and non-family members is 4.43 with a standard deviation of 2.02. This is based on census information for the population. Suppose the Census Bureau instead had estimated this mean using a random sample of 225 homes. Suppose the sample had a sample mean of 4.2 and standard deviation of 1.9.
a. Identify the random variable X. Indicate whether it is quantitative or categorical.
b. Describe the center and variability of the population distribution. What would you predict as the shape of the population distribution? Explain.
c. Describe the center and variability of the data distribution. What would you predict as the shape of the data distribution? Explain.
d. Describe the center and variability of the sampling distribution of the sample mean for 225 homes. What would you predict as the shape of the sampling distribution? Explain.