Statistical Reasoning for Everyday Life - MyStatLab
Statistical Reasoning for Everyday Life - MyStatLab
5th Edition
ISBN: 9781323823781
Author: Bennett
Publisher: PEARSON
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Chapter 10.1, Problem 11E

Elbow-to-Fingertip Length of Men. A simple random sample of men is obtained, and the elbow-to-fingertip length of each man is measured. The population of those lengths has a distribution that is normal. The sample statistics are n = 35, x ¯ = 14.5 inches, and s = 0.7 inch. Determine the critical value of t and the margin of error, and then construct the 95% confidence interval estimate of the population mean.

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Question 1 The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). Table 1: Bearing Diameter Data Sample Number I R Sample Number I R 1 34.5 3 13 35.4 8 2 34.2 4 14 34.0 6 3 31.6 4 15 37.1 5 4 31.5 4 16 34.9 7 5 35.0 5 17 33.5 4 6 34.1 6 18 31.7 3 7 32.6 4 19 34.0 8 8 33.8 3 20 35.1 9 34.8 7 21 33.7 2 10 33.6 8 22 32.8 1 11 31.9 3 23 33.5 3 12 38.6 9 24 34.2 2 (a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. [15 pts] (b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro- duced by this process. Assume that diameter is normally distributed. [10 pts] 1

Chapter 10 Solutions

Statistical Reasoning for Everyday Life - MyStatLab

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