Practice Questions - Interval Estimation

Estimation and confidence intervals

1. For each set of sample outcomes below, construct the 95% confidence interval for estimating µ, the population mean.
1. Sample mean = 5.2; s = 0.7; N = 157
2. Sample mean = 1020; s = 50; N = 329
3. Sample mean = 100; s = 9; N = 120
2. You have developed a series of questions to measure the “burnout” in social workers. A random sample of 100 social workers working in the city have an average score of 10.3, with a standard deviation of 2.7. What is your estimate of the average burnout score for the population as a whole? Use the 95% confidence level.