A certain adjustment to a machine will change the length of the
parts it makes but will not affect the standard deviation. The
length of the parts is normally distributed, and the standard
deviation is 0.5 mm. After an adjustment is made, a random sample
is taken to determine the mean length of parts now being produced.
The resulting lengths are as follows.
74.6 75.8 74.5 76.4 75.1 75.8 76.3 74.4 76.3 76.2
(b) Find the point estimate for the mean length of all parts now
being produced. (Give your answer correct to two decimal places.)
mm
(c) Find the 0.99 confidence interval for μ. (Give your answer
correct to three decimal places.) _____________,
_______________