A metallurgist makes several measurements of the melting temperature of a certain alloy and computes a 95% confidence interval to be 2038±2◦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 ± 2◦C.
b. If the experiment were repeated, the probability is 95% that the mean measurement from that experiment would be in the interval 2038 ± 2◦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 ± 2◦C.