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The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, where the amount requested for home loans followed the normal distribution with a mean of $69,000 and a standard deviation of $24,000. (Round z-score computation to 2 decimal places and the final answers to the nearest whole dollars.)
a. What is the minimum amount requested on the largest 6% of loans?
b. What is the maximum amount requested on the smallest 16% of loans?
Is there enough evidence to show that the true proportion is lower than 60%? Conduct the test at a 10% significance level.
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