. Mortgages 2013 In December, 2013, Lender Processing Services* reported that although mortgage defaults had fallen, in New York state, 12.4% of mortgages were still “noncurrent,” meaning that payments had been missed. Suppose a New York bank holds 1731 mortgages. a) Can you apply the Central Limit Theorem to describe the sampling distribution model for the sample proportion of noncurrent mortgages? Check the conditions and discuss any assumptions you need to make. b) Sketch and clearly label the sampling model, based on the 68–95–99.7 Rule. c) How many of these homeowners might the bank expect will default on their mortgages? Explain.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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. Mortgages 2013 In December, 2013, Lender Processing Services* reported that although mortgage defaults had fallen, in New York state, 12.4% of mortgages were still “noncurrent,” meaning that payments had been missed. Suppose a New York bank holds 1731 mortgages.

a) Can you apply the Central Limit Theorem to describe the sampling distribution model for the sample proportion of noncurrent mortgages? Check the conditions and discuss any assumptions you need to make.

b) Sketch and clearly label the sampling model, based on the 68–95–99.7 Rule.

c) How many of these homeowners might the bank
expect will default on their mortgages? Explain.

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