SOLUTION: A machine produces parts with lengths that are normally distributed with 𝜎 = 0.66. A sample of 14 parts has a mean length of 75.84. (a) Give a point estimate for 𝜇. (Give yo

Question 1187391: A machine produces parts with lengths that are normally distributed with 𝜎 = 0.66. A sample of 14 parts has a mean length of 75.84.
(a) Give a point estimate for 𝜇. (Give your answer correct to two decimal places.)

(b) Find the 99% confidence maximum error of estimate for 𝜇. (Give your answer correct to three decimal places.)

(c) Find the 99% confidence interval for 𝜇. (Give your answer correct to three decimal places.)
Lower Limit
Upper Limit

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
point estimate is the mean of 75.84
99%CI half-interval is z(0.995)*sigma/sqrt(n)
=2.5758*0.66/sqrt(14)=0.454, this is the maximum error
the 99% interval is (75.386, 76.294)
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