Consider some characters in the classical movie Star Wars(l977). Jawas, those jewel-eyes, hooded collectors of robots and scrap, live in the desert and travel by sandcrawler. Their height is normally distributed with a mean of 48 inches and a standard deviation of 3 inches. The escape exit on the sandcrawler is 46 inches high. What proportion of the J awas must duck when they use the escape exit? A machine is set up such that the average content of _] uice per bottle equals [4- A sample of 100 bottles yields an average content of 48d. Calculate a 90% and a 95% condence interval for the average content. You want to rent an unfurnished one-bedroom apartment in Sha Tin next year. The mean monthly rent for a random sample of 60 apartments advertised on Centaline Property's List (a website that lists apartments for rent) is $10000. Assume a population standard deviation of $2000. a. Construct a 95% condence interval. b. How large a sample of one-bedroom apartments above would be needed to estimate the population mean within plus or minus 500 with 90% condence? A researcher reports survey results by stating that the standard error of the mean is 20. The population standard deviation is 500. a. How large was the sample used in this survey? b. What is the probability that the point estimate was within i25 of the population mean