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A Bank Examiner Is Interested in Estimating the Mean Outstanding

question 74

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A bank examiner is interested in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years.A random sample of 20 defaulted loans yielded a mean of $67,918 with a standard deviation of $16,552.40.If the outstanding balance is normally distributed,the 90% confidence interval for the mean balance of defaulted loans over the past three years would be _____.


Definitions:

Expected Value

The predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution, often affecting the outcome of statistical tests.

Alpha Level

A threshold set in statistical hypothesis testing, below which a null hypothesis is rejected, often set at 0.05.

One-Tailed Statistical Test

A hypothesis test that predicts the direction of the expected difference or relationship between variables.

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