A certain adjustment to the machine will change length of parts it is making but will not affect the standard deviation. The length of the parts is normally distributed, and standard deviation is 0.5 mm. After an adjustment is made, a random sample is taken to find out the mean length of parts now being produced. The resulting lengths are: 75.3, 76.0, 75.0, 77.0, 75.4, 76.3, 77.0, 74.9, 76.5, 75.8.
a. Determine the parameter of interest?
b. Find out the point estimate for the mean length of all parts now being produced.
c. Find out the 0.99 confidence interval for μ.