Question: (15) Confidence Intervals (Review Levine ch 8; Be sure to define all terms used)

1. What is the meaning of a 95% confidence interval, and how is it derived for a population mean when the population variance is unknown? What probability distribution are you using, and what are its important characteristics?
2. How do you create a confidence interval when the data you have is categorical? In this situation, how do you figure out how large of a sample size to take?
3. A random sample of 85 group leaders and supervisors revealed that they worked an average of 6.5 years before being promoted. The population standard deviation was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval for the population mean?
   For questions D and E, a student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years
   D) What is the best point estimate for the population mean?
   E) What is the 95% confidence interval for the population mean?
   
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