Exercise 8-17 Algo We use the t distribution to construct a confidence interval
ID: 3075428 • Letter: E
Question
Exercise 8-17 Algo 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 t2,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 29 observations. b. A 95% confidence level and a sample of 29 observations. c. A 90% confidence level and a sample of 17 observations. d. A 95% confidence level and a sample of 17 observations.
Explanation / Answer
a) df = 29 - 1 = 28
t0.05, 28 = 1.701
b) df = 29 - 1 = 28
t0.025, 28 = 2.048
c) df = 17 - 1 = 16
t0.05, 16 = 1.746
d) df = 17 - 1 = 16
t0.025, 16 = 2.120