We use the t distribution to construct a confidence interval for the population
ID: 3244258 • Letter: W
Question
We use the t distribution to construct a confidence interval for the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find t/2,df for the following scenarios. Use Table 2. (Round your answers to 3 decimal places.) t/2,df a. A 90% confidence level and a sample of 28 observations. b. A 95% confidence level and a sample of 28 observations. c. A 90% confidence level and a sample of 15 observations. d. A 95% confidence level and a sample of 15 observations.
Explanation / Answer
a) t/2,df = t0.95,27 = 1.703
b) t/2,df = t0.975,27 = 2.052
c) t/2,df = t0.95,14 = 1.761
d) t/2,df = t0.975,14 = 2.145