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2.- College ABC is interested in finding out the percentage of its students that still leave...

2.- College ABC is interested in finding out the percentage of its students that still leave with their parents. In a survey of 360 students, 144 lived with their parents.

(a) Find a 90 percent confidence interval for the true proportion of students living with their parents.

(b) Find a 95 percent confidence interval for the true proportion of students living with their parents.

(c) Find a 99 percent confidence interval for the true proportion of students living with their parents.

(d) How large of a sample is needed in order to have a margin of error of 3%?

3.-The state auditor wants to find the average salary for California City, California. A sample of 25 city employees yields a mean of $2800 per month and a standard deviation of $500.

(a) a 90 percent confidence interval for the true mean salary.

(b) a 90 percent confidence interval for the true mean salary.

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