In each case, state whether the interpretation of a confidence interval is correct or incorrect. If incorrect, explain why.
a) There is a 99% probability that the true mean repair cost for a machine is between ($15 232.11, $17 667.89).
b) We are 99% confident that the true mean repair cost for a machine is between ($15 232.11, $17 667.89).
c) The sample mean repair cost is inside of the 99% confidence interval and thus the range is correct.
d) There is a 99% probability that the interval ($15 232.11, $17 667.89) includes the true mean repair cost.
e) We are 99% sure that the true mean repair cost for a machine is between ($15 232.11, $17 667.89).