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MMLU / To determine the average cost of running for a congressional seat, a simple…

Problem

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question

To determine the average cost of running for a congressional seat, a simple random sample of 50 politicians is chosen and the politicians' records examined. The cost figures show a mean of 125,000withastandarddeviationof125,000 with a standard deviation of 32,000. Which of the following is the best interpretation of a 90% confidence interval estimate for the average cost of running for office?
Plain-text mathematical notation (without MathML)
To determine the average cost of running for a congressional seat, a simple random sample of 50 politicians is chosen and the politicians' records examined. The cost figures show a mean of 125,000withastandarddeviationof32,000. Which of the following is the best interpretation of a 90% confidence interval estimate for the average cost of running for office?
Original LaTeX notation
To determine the average cost of running for a congressional seat, a simple random sample of 50 politicians is chosen and the politicians' records examined. The cost figures show a mean of $125,000 with a standard deviation of $32,000. Which of the following is the best interpretation of a 90% confidence interval estimate for the average cost of running for office?

choices

  1. 90% of politicians running for a congressional seat spend between $117,500 and $132,500.
  2. 90% of politicians running for a congressional seat spend a mean dollar amount that is between $117,500 and $132,500.
  3. We are 90% confident that politicians running for a congressional seat spend between $117,500 and $132,500.
  4. We are 90% confident that politicians running for a congressional seat spend a mean dollar amount between $117,500 and $132,500.

subject

high_school_statistics

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