Question

A college professor is interested in estimating what the population of PC students believe her actual age to be. She selected a sample of convenience of her class of 28 students.

40, 44, 40, 42, 40, 46, 37, 40, 45, 40, 44, 42, 43, 44, 43, 37, 42, 46, 46, 42, 40, 42.7, 44, 40, 55, 50, 21, 62

2. State the technical conditions required for a confidence interval procedure to be valid, and comment on whether you consider them to be satisfied in this case.
3. Regardless of your answer to the previous question, determine a 90% confidence interval for the population mean, µ.
4. Write a sentence interpreting this interval in context. Include a clear description of what µ represents.

Answer 1

Let the observations is denoted by Xi .