Essentials of Statistics for Business and Economics, Loose-leaf Version
Essentials of Statistics for Business and Economics, Loose-leaf Version
8th Edition
ISBN: 9781337114196
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 12.1, Problem 5E

a.

To determine

Perform a hypothesis test that the population proportions of male fish are equal for all four locations at 5% level of significance.

Find the p-value and draw conclusions.

b.

To determine

Explain whether there is any differences in agricultural contaminates found at the four locations altered the fish population by gender.

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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

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Essentials of Statistics for Business and Economics, Loose-leaf Version

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