[Solution] An airline does a market research survey on travel patterns. It works out a 95%-confidence interval for the average distance travelled by people


Question:

An airline does a market research survey on travel patterns. It works out a 95%-confidence interval for the average distance travelled by people aged 18 and over in a certain city in the previous year using a simple random sample of 225 such people. The get a 95%-confidence interval of 488 to 592 miles.

  1. What is the average of the sample of 225 distances?
  2. What is the SD of the sample of 225 distances?
  3. A 95%-confidence interval based on a sample of 450 people will be how many times as wide as one based on a sample of 225 people?

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