Consider a normal population with an unknown population standard deviation A random sample results in 48 68 and s2 33 64 a Compute the 95 confidence interval for if and s2 were obtained from a sample of 16 observations b Compute the 95 confidence interval for if and s2 were obtained from a sample o...

x 4868 s2 3364 s 3364 58 a We use 005 and df16115 to find t 2 df t 0025 ...

Consider a normal population with an unknown population standard deviation. A random sample results in =

Question:

Consider a normal population with an unknown population standard deviation. A random sample results in = 48.68 and s2 = 33.64.
a. Compute the 95% confidence interval for µ if and s2 were obtained from a sample of 16 observations.
b. Compute the 95% confidence interval for µ if and s2 were obtained from a sample of 25 observations.
c. Use your answers to discuss the impact of the sample size on the width of the interval.