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According to the IRS, the average deduction for charitable contributions in the most recent tax year reported $4388. Curious to see how his legislative district compares, a state senator surveys a simple random sample of100 taxpayers from his district, finding a mean of $4574.97 and a standard deviation of $1044.92. (a) Construct and interpret the 90% confidence interval for the population mean charitable contribution for taxpayers in his district. (b) Given the answer to the preceding question, comment on whether the district's taxpayers might not be typical of those in the nation as a whole in terms of their tax-deductible charitable contributions