1. A random sample of 25 patients had a pain score average with a mean of 2.86. Past studies have shown that the standard deviation is 0.15 and the population is normally distributed.
• Construct a 90%, 95% and 99% confidence interval for the population mean pain score average.
• Interpret all results.
2. A 98% CI for the mean computed from the information in a random sample of n = 122 observation is 97.6 to 104.2
• Interpret this CI
• Does this CI support the claim that mean = 100? Explain
• Would a 95% CI have been wider or narrower than this 98% CI? Explain