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Problem

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question

The principal of a school is interested in estimating the average income per family of her students. She selects a random sample of students and collects information about their family income. A 95 percent confidence interval computed from this data for the mean income per family is (35,095,35,095, 45,005). Which of the following provides the best interpretation of this confidence interval?
Plain-text mathematical notation (without MathML)
The principal of a school is interested in estimating the average income per family of her students. She selects a random sample of students and collects information about their family income. A 95 percent confidence interval computed from this data for the mean income per family is (35,095,45,005). Which of the following provides the best interpretation of this confidence interval?
Original LaTeX notation
The principal of a school is interested in estimating the average income per family of her students. She selects a random sample of students and collects information about their family income. A 95 percent confidence interval computed from this data for the mean income per family is ($35,095, $45,005). Which of the following provides the best interpretation of this confidence interval?

choices

  1. 95 percent of the students in her school are from families whose income is between $35,095 and $45,005.
  2. There is a 95% probability that the families of all the students in this school have an income of between $35,095 and $45,005.
  3. If we were to take another sample of the same size and compute a 95 percent confidence interval, we would have a 95% chance of getting the interval ($35,095, $45,005).
  4. There is a 95% probability that the mean income per family in the school is between $35,095 and $45,005.

subject

high_school_statistics

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Source and history

task_id
c5f168e9-d2a5-58ef-ade4-311a4f7af456
task_key
all--test--c5f168e9-d2a5-58ef-ade4-311a4f7af456
task_revision_id
1
config / split
all / test

Official source

initial import