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Exercise 2.4 The scores of students on the statistics final exam at City Tech are Normally distributed with mean 75 and standard deviation 10, a. (7pts) What is the fraction of students who pass the exam? Hint: Think of fraction as a probability, and the passing score is more than 60. b. (8pts) What should the score of a student be to place her/him in the top 10% of all students? Exercise 2.5 The following observations 52, 68, 22, 35, 30, 56, 39, 48 are the ages of a random sample of 8 men in a bar. It is known that the age of men who go to bars is Normally distributed. a. (2pts) Find the sample mean of the random sample. b. (2pts) Find the sample standard deviation of the random sample. c. (8pts) Find the 95% confidence interval of the population mean, being the average age of men who go to bars Exercise 2.6 A real estate brokerage gathered the following information relating the selling prices of three-bedroom homes in a particular neighborhood to the sizes of these homes. (The square footage data are in units of 1000 square feet, whereas the selling price data are in units of $1000.) # Square footage sqft