Suppose You Have a Random Sample of 2179 Credit Scores $\left( \frac { 70 } { \sqrt { 2179 } } \right)$

question 37

Multiple Choice

Suppose you have a random sample of 2179 credit scores from a population of mortgage applicants with a sample mean of 620 and known population standard deviation of 70, and would like to calculate the 99% confidence interval of the population mean credit score. Which of the following would be the correct construction?

• A) 620 ± 1.65 \(\left( \frac { 70 } { \sqrt { 2179 } } \right)\)
• B) 2179 ± 1.96 \(\left( \frac { 70 } { \sqrt { 620 } } \right)\)
• C) 620 ± 2.58 \(\left( \frac { 70 } { \sqrt { 2179 } } \right)\)
• D) 620 ± 2.58 \(\frac { 70 } { 2179 }\)

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