A metallurgist makes several measurements of the melting temperature of a certain alloy

Chapter 5, Problem 15

(choose chapter or problem)

A metallurgist makes several measurements of the melting temperature of a certain alloy and computes a 95% confidence interval to be \(2038 \pm 2^{\circ} \mathrm{C}\). Assume the measuring process for temperature is unbiased. True or false:

a. There is 95% probability that the true melting temperature is in the interval \(2038 \pm 2^{\circ} \mathrm{C}\).

b. If the experiment were repeated, the probability is 95% that the mean measurement from that experiment would be in the interval \(2038 \pm 2^{\circ} \mathrm{C}\).

c. If the experiment were repeated, and a 95% confidence interval computed, there is 95% probability that the confidence interval would cover the true melting point.

d. If one more measurement were made, the probability is 95% that it would be in the interval \(2038 \pm 2^{\circ} \mathrm{C}\).