1. A sample of 25 resistors, each labeled 100 Q, had an average resistance of 101.4 Q with a standard devi- ation of 2.3 Q. Assume the resistances are normally distributed.
a. Find a 95% prediction interval for the resistance of a single resistor.
b. Find a tolerance interval for the resistance that includes 90% of the resistors with 95% confidence.
2. In a sample of 20 bolts, the average breaking torque was 89.7 J with a standard deviation of 8.2 J. Assume that the breaking torques are normally distributed.
a. Find a 99% prediction interval for the breaking torque of a single bolt.
b. Find a tolerance interval for the breaking torque that includes 95% of the bolts with 99% confidence.