Approximate normal distribution.

2021-12-09 Answered
Problem 1: A machine is producing metal pieces that are cylindrical in shape. A sample of pieces is taken and the diameters are 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 cm. Find a 99% confidence interval of the true mean diameter of pieces from this machine, assuming an approximate normal distribution.
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Answers (1)

user_27qwe
Answered 2022-02-16 Author has 208 answers

n=9,x=1.0056,s=0.0245,t0.005=3.355 with 8 degrees of freedom.

1.0056(3.355)(0.0245/3)<μ<1.0056+(3.355)(0.0245/3)

0.978<μ<1.033

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