We use the t distribution to construct a confidence interval for the population

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

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