A random sample of size n is chosen from a normally distributed population with a mean of µ and known standard deviation 6. a) Compute a 95% CI for µ if the sample mean is 41 and n = 25. b) Compute a...

A random sample of size n is chosen from a normally distributed population with a mean of µ and known standard deviation 6.

1. a) Compute a 95% CI for µ if the sample mean is 41 and n = 25.


2. b) Compute a 95% CI for µ if the sample mean is 41 and n is 49.


3. c) What sample size is needed to create a 95% CI for µ with a width that is no greater than 2?


4. d) Check your work by calculating a 95% CI for µ given x = 41 using the sample size from part c).