Company compared the performance of two temperature instruments: one coupled to a process computer and the other used for visual control. Ideally, these two instruments should agree. The following data are the two temperatures over a five day period:
Day 1 2 3 4 5
Temp 1 84.6 84.5 84.4 84.6 84.3
Temp 2 85.2 85.1 84.9 85.3 85
a. Conduct the most appropriate hypothesis test using a 0.05 significance level to determine if there is a statistically significant difference between the reading of both instruments.
b. Construct a 95% confidence interval for the true mean difference in temperature readings.