Question: Construct a 90% confidence interval for the population mean, . Assume the population has a normal distribution. A sample of 15 randomly selected math majors

Construct a 90% confidence interval for the population mean, . Assume the population has a normal distribution. A sample of 15 randomly selected math majors has a grade point average of 2.86 with a standard deviation of 0.78. Round to the nearest hundredth.

  1. Find the margin of error (show calculation using formula)
  2. The 90% confidence interval is:
  3. If a professor believes math majors have a higher average of 3.0, is this an acceptable claim? ___________ (yes, or no), since the value of 3.0____________ (does/does not) fall in the 90% confidence interval.

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