Question

A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.94, 0.96, 1.02, 1.04, 1.05, 0.98, 0.97, 0.94, and 0.97 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.

Name: a machine produces metal pieces that are cylindrical in shape a sample of pieces is taken and the diameters are found to be 094 096 102 104 105 098 097 094 and 097 centimeters find a 99 conf 80601
Uploaded: 2023-08-29T18:45:12-08:00
Duration: 2 min 18 s
Channel: Madhur L
Description: a machine produces metal pieces that are cylindrical in shape a sample of pieces is taken and the diameters are found to be 094 096 102 104 105 098 097 094 and 097 centimeters find a 99 conf 80601

          A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.94, 0.96, 1.02, 1.04, 1.05, 0.98, 0.97, 0.94, and 0.97 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/29/2023

Step 1

Sample mean, $\bar{x} = \frac{0.94 + 0.96 + 1.02 + 1.04 + 1.05 + 0.98 + 0.97 + 0.94 + 0.97}{9} = \frac{8.87}{9} = 0.9856$ Sample standard deviation, $s = \sqrt{\frac{\Sigma(x_i - \bar{x})^2}{n-1}} = \sqrt{\frac{(0.94-0.9856)^2 + (0.96-0.9856)^2 + \cdots + Show more…

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A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 0.94, 0.96, 1.02, 1.04, 1.05, 0.98, 0.97, 0.94, and 0.97 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.