4.34. A study plans to sample randomly 100 government records of farms in Ontario to estimate the mean 4.35. According to the U.S. Census Bureau, in 2000 the number of people in a household had a mean of2.6 and a standard deviation of 1.5. Suppose the Census Bureau instead had estimated this mean using a random sample of 225 homes, and that sample had a mean of 2.4 and standard deviation of 1.4.

(a) Identify the variable y.

(b) Describe the center and spread of the population distribution.

(c) Describe the center and spread of the sample data distribution.

(d) Describe the center and spread of the sampling distribution of the sample mean for 225 homes. What does that distribution describe?