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Page 3 of 6 ASSIGNMENT #3 DUE DATE: March 15, 2012 [Chapters 6 and 7] 1. (a) (b) (c) (d) 2. (a) (b) (c) (d) Prices of condominiums in a certain city are approximately normally distributed with a mean value of about $100,000 and a standard deviation of about $10,000. What approximate proportion of the condominiums has a value less than $90,000? Find the two values representing the endpoints of the middle 95% of the distribution of condominium prices in this particular city. Find the z-score for a condominium value of $115,000, and explain the meaning of this zscore within the context of the population of condominium prices in this particular city. What price for a condominium in this particular city is at the 20th percentile? Suppose the number of points scored in basketball games played by a particular college is normally distributed with mean µ = 68 and standard deviation σ = 12. A random sample of 9 games played by this team is taken. Name the sampling distribution of X . Is it exact or approximate? What are the mean and standard deviation of X ? What is the probability that: (i) X will exceed 72? (ii) X will fall below 65? (iii) X will lie between 68 and 71? (iv) X will be exactly equal to 70? Find a numerical value that is larger than 97.5% of all sample means. 3. Do Question 7.36 page 267.