7) {Elms} Suppose that the IRS is interested in performing inferenoe on the average amount of money that it will owe to households in the form of refunds for the 2020 tax year. A negative average in this case would indicate that on average, tax payers owe the IRS money and a positive average would indicate that on average the IRS would owe taxpayers money. As such, the IRS collects a sample of 100 households and nds that they owe an average of 5225 to each household with a varianoe of 36,000. [a] Compute a 99% condence interval for the average amount of money the IRS owes to US households. [bi {Spill Conduct a Hypothesis Test with a 99% Condence Level where the alternative hypothesis is that that the average amount the IRS will awe is larger than 5150. [c] State a rejection region for conducting a hypothesis test with a 95% Condence Level where the alternative hypothesis is that the average amount the IRS owes J's larger than zero. [l {Spill Suppose that the average amount that the IRS owed among all individuals in 2019 was $150 with a variance of 25,000. Conduct a Hypothesis Test with a 95% oondenoe level to determine whether the IRS will owe the same average amount to individuals in 2020 that it did in 2019