SOLUTION: A machine produces parts with lengths that are normally distributed with σ = 0.58. A sample of 20 parts has a mean length of 75.21. (a) Give a point estimate for μ. (Gi

Algebra.Com
Question 924307: A machine produces parts with lengths that are normally distributed with σ = 0.58. A sample of 20 parts has a mean length of 75.21.
(a) Give a point estimate for μ. (Give your answer correct to two decimal places.)

(b) Find the 90% confidence maximum error of estimate for μ. (Give your answer correct to three decimal places.)

(c) Find the 90% confidence interval for μ. (Give your answer correct to three decimal places.)
Lower Limit

Upper Limit


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A machine produces parts with lengths that are normally distributed with σ = 0.58. A sample of 20 parts has a mean length of 75.21.
--------------------------
(a) Give a point estimate for μ. (Give your answer correct to two decimal places.)
Ans:: u = 75.21
-----------------------------
(b) Find the 90% confidence maximum error of estimate for μ. (Give your answer correct to three decimal places.)
ME = 1.645*0.58/sqrt(20)
---------------------------------
(c) Find the 90% confidence interval for μ. (Give your answer correct to three decimal places.)
90% CI:: 75.21 - 1.645*(0.58/sqrt(20)) < u < 75.21 + 1.645*(0.58/sqrt(20))

Lower Limit:: 75.21-1.645*(0.58/sqrt(20))
Upper Limit::: 75.21+1.645*(0.58/sqrt(20))
------------------
Cheers,
Stan H.
=================

RELATED QUESTIONS

A machine produces parts with lengths that are normally distributed with 𝜎 = 0.66. A... (answered by Boreal)
Your lumber company has bought a machine that automatically cuts lumber. The seller of... (answered by stanbon)
For a specific type of machine part being produced, the diameter is normally distributed, (answered by stanbon)
. A company has three machines A, B and C which all produce the same two parts, X and Y.... (answered by ikleyn)
A company has three machines A, B and C which all produce the same two parts, X and Y.... (answered by ikleyn)
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches... (answered by Boreal)
the lengths of steel rods cut by a machine are normally distributed with mean 13.8com. It (answered by stanbon)
A machine that manufactures automobile parts produces 15% defective parts of the time. (answered by Edwin McCravy)
A machine that manufactures automobile parts produces 15% defective parts 7 of the... (answered by Boreal)