The difference between setting alpha equal to 0.05 and alpha equal to 0.01 in hypothesis testing is: Group of answer choices With alpha equal to 0.05, one is less willing to risk either type I or type II error With alpha equal to 0.05, one is more willing to risk a type II error Alpha equal to 0.05 is a more conservative test of the null hypothesis With alpha equal to 0.05, one is more willing to risk a type I error

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.