A random sample of n measurements was selected from a population with unknown mean and standard deviation 20 Calculate a 95 confidence interval for for each of the following situations a n 75, x 28 b n 200, x 102 c n 100, x 15 d n 100, x 4 05 e Is the assumption that the underlying population of me...

Calculate the 95 confidence interval for p for each of the given situations when the standard deviat ...

A random sample of n measurements was selected from a population with unknown mean and standard

Question:

A random sample of n measurements was selected from a population with unknown mean µ and standard deviation σ = 20. Calculate a 95% confidence interval for µ for each of the following situations:
a. n = 75, x̅ = 28
b. n = 200, x̅ = 102
c. n = 100, x̅ = 15
d. n = 100, x̅ = 4.05
e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a-d? Explain.