in a certain year, according to a national Census Bureau, the number of people in a household had a mean of 4.19 and a standard deviation of 2.25. This is based on census information for the population Suppose the Census Bureau d had estimated this mean using a random sample of 325 homes. Suppose the sample had a sample mean of 4.3 and standard deviation of 2.4. Complete parts a through d below a. Identify the random variable X. Indicate whether it is quantitative or categorical What is the random variable X7 A. The mean number of people in a household B. The number of households in the sample C. The number of people in a household D. The number of households in the country Is X quantitative or categorica? A The variable X is quantitative, because each observation is a numerical value that represents a magnitude of inanable B. The variabia X is categorical, because each observation belongs to one of a set of datince C. The variable X is categoncal, because despite the observations being numerical values, the observations do not represent a magnitude of the table D The variabile X is quantitative, because sach observation belongs to one of a set of distinct values h. Describe the center and variability of the population distribution. What would you predict as the shape of the population Exp The center of the population distribution is (Round to two decimal places as needed) The variability of the population distribution is (Found to two decimal places as needed) Sinca the dis Describe the center and valability of the data distribution. What would you predict as the shape of the data distribution Explain pulition distribution is (Round to two decimal places as needed.) The variability of the population distribution is (Round to two decimal places as needed.) Since the distribution is c. Describe the center and variability of the data distribution. What would you predict as the shape of the data distribuon? Explain. The center of the data distribution is (Round to two decimal places as needed.) The variability of the data distribution is (Round to two decimal places as needed.) the distribution is d. Describe the center and variability of the sampling distribution of the sample mean for 325 homes. What would you predict as the shape of the sampling distribution? Explain The center of the sampling distribution of the sample mean is (Round to two decimal places as needed.) Since The variability of the sampling distribution of the sample mean is (Round to two decimal places as needed.)