3. Suppose you wish to determine the proportion of college students in your state who receive some form of financial aid. You want to be 98% confident of your results and have a maximum error of 5%. Calculate the minimum sample size needed to meet these requirements given that the financial aid office at a local institution estimates the percentage to be 74%. 4. A faculty advocacy group is concerned about the amount of time teachers spend each week doing schoolwork at home. A simple random sample of 66 teachers had a mean of 9.0 hours per week working at home after school. The sample standard deviation is 1.75 hours per week. Construct and interpret a 95% confidence interval for the mean number of hours per week a teacher spends working at home. Critical Value: _____________________ Margin of Error: ___________________ Confidence Interval: ___________________________ Interpretation: 5. A survey of 95 randomly selected homeowners finds that they spend a mean of $87 per month on home maintenance with a standard deviation of $12.75 per month. Construct and interpret a 99% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. Critical Value: _____________________ Margin of