Solution: Loan Amounts. B. Ciochetti et at. studied mortgage loans in the article "A Proportional Hazards Model of Commercial Mort- gage De fault with
Question: Loan Amounts. B. Ciochetti et at. studied mortgage loans in the article "A Proportional Hazards Model of Commercial Mort- gage De fault with Originator Bias". According to the article, the loan amounts of loans originated by a large insurance-company lender have a mean of $6.74 million with a standard deviation of $15.37 million. The variable "loan amount" is known to have a right—skewed distribution.
- Using units of millions of dollars. determine the sampling distribution of the sample mean for samples of size 200. Interpret your result.
- Repeat part (a) for samples of size 600.
- Why can you still answer parts (a) and (b) when the distribution of loan amounts is not normal, but rather right skewed?
- What is the probability that the sampling error made in estimating the population mean loan amount by the mean loan amount of a k simple random sample of 200 loans will be at most $l million?
- Repeat part d) for samples of size 600.
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