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

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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) About Me  (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.
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(a) Give a point estimate for μ. (Give your answer correct to two decimal places.)
Ans:: u = 75.21
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(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)
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(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))
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Cheers,
Stan H.
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