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A recent study on state income tax payments found that the average person paid $7,500 each...

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Statistics

A recent study on state income tax payments found that theaverage person paid $7,500 each year with a standard deviation of$250.20. After multiple propositions by local experts, a change wasimplemented to reduce this tax burden. Suppose a random sample of240 people was taken after the proposed changes and theseindividuals exhibited a mean tax payment of $7,425.

  1. What would a 95% confidence interval for the population meanbe? [Show your code in “R Code” section. Show the answer in“Answer” section. Leave “Comments” section blank.]
  2. What would it suggest with regards to whether they haveproperly reduced the tax burden? Why? [Leave “R Code” and “Answer”sections blank. Include the phrase “reduced” or “did not reduce”along with a justification in a few sentences in “Comments”section.]

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