Question

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

muμ

and standard deviation

sigmaσequals=3030

for each of the situations in parts a through d. Calculate a

9090​%

confidence interval for

muμ

for each of these situations.

a.

nequals=5050​,

x overbarxequals=2424

b.

nequals=200200​,

x overbarxequals=112112

c.

nequals=8080​,

x overbarxequals=1717

d.

nequals=8080​,

x overbarxequals=5.095.09

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 through​ d? Explain.

Answer 1

------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------------------------------------

------------------------------------------------------------------------------------------------------------