True difference between the population means

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A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 81 cars owned by students had an average age of 5.46 years. A sample of 118 cars owned by faculty had an average of 6.74 years. Assume that the standard deviation for cars owned by students is 2.96 and 3.55 for faculty. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty.

  1. Find the point estimate for the true difference between the population means.
  2. Calculate the margin of error of a confidence interval for the difference between the two population means. Round answer to 6 decimal places.
  3. Construct the 90% confidence interval and round answer to 2 decimal places.

Reference no: EM132394233

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