From Problem 13, we know that "a 95% confidence interval for the mean age of all U.S. millionaires is from 54.3 years to 62.8 years." Decide which of the following sentences provide a correct interpretation of the statement in quotes. Justify your answers.
a. Ninety-five percent of all U.S. millionaires are between the ages of 54.3 years and 62.8 years.
b. There is a 95% chance that the mean age of all U.S. millionaires is between 54.3 years and 62.8 years.
c. We can be 95% confident that the mean age of all U.S. millionaires is between 54.3 years and 62.8 years.
d. The probability is 0.95 that the mean age of all U.S. millionaires is between 54.3 years and 62.8 years.