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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.