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 t2,df for the following scenarios. Use Table 2. (Round your answers to 3 decimal places.)

t/2,df              a. A 95% confidence level and a sample of 27 observations.   b. A 90% confidence level and a sample of 27 observations.   c. A 95% confidence level and a sample of 16 observations.   d. A 90% confidence level and a sample of 16 observations.

Explanation / Answer

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 95% confidence level and a sample of 27 observations.          t= 2.056

df=26

b. A 90% confidence level and a sample of 27 observations.          t= 1.706

df=26

c. A 95% confidence level and a sample of 16 observations.           t= 2.131

df=15

d. A 90% confidence level and a sample of 16 observations.          t= 1.753

df=15

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