1.For each description below, identify each underlined number as a parameter or statistic. Use appropriate notation to describe each number, e.g., .5 = I] 9'5. (a) Nationwide, 84% of people are living in the same house they were living in one year ago. The town council of Pleasant Valley surveys 100 residents and find that 75% of them have not moved in the past year. (b) The mean birthweight of infants in the United States in 2006 was .33 kg with a standard deviation of 0.57 kg. An obstetrician determines that among her own patients, the mean birthweight was Su kg. 2. The service department of a large automobile dealership keeps records of the odometer readings of cars that it repairs and determines that the distribution of miles driven per year by all of its customers has a mean of 14,000 miles and a standard deviation of 4000. The distribution is skewed to the right. Suppose a random sample of 12 cars is taken from the hundreds of cars for which they have records, and mean number of miles per year, E is calculated. (a) What is the mean of the sampling distribution of E? (b) Is it possible to calculate the standard deviation of 7:? If it is, do the calculation. If it isn't, explain why. (c) Do you know the approximate shape of the sampling distribution of E? If so, describe the shape and justify your answer. If not, explain why not. 3. Inexpensive bathroom scales are not consistently accurate. A manufacturer of bathroom scales says that when a 150 pound weight is placed on all the scales produced in his factory, the weight indicated by the scales is Normally distributed with a mean of 150 pounds and a standard deviation of 2 pounds. A consumer advocacy group acquires a randomlyselected group of 12 scales from the manufacturer and weighs a 150 weight on each one. They get a mean weight of 151 pounds, which makes them suspicious about the company's claim. To test this, they use a computer to simulate 200 samples of 12 scales from a population with a mean of 150 pounds and standard deviation 2 pounds. Below is a dotplot of the means from these 200 nnmnlnn