Complete the following:
Q: A machine cuts plastic into sheets that are 30 feet (360 inches) long. Assume that the population of lengths is normally distributed.
a) The company wants to estimate the mean length the machine is cutting the plastic within 0.25 inch. Determine the minimum sample size required to construct a 90% confidence interval or the population mean. Assume the population standard deviation is 0.50 inch.
N =______ round up to the nearest whole number as needed.
b) Repeat part (a) using an error tolerance o 0.125 inch.
N =______ round up to the nearest whole number as needed
Which error tolerance requires a larger sample size?