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In a random sample of 100 parts ordered from vendor A, 12

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 11E Chapter 4.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

Problem 11E

In a random sample of 100 parts ordered from vendor A, 12 were defective. In a random sample of 200 parts ordered from vendor B, 10 were defective.

a. Estimate the proportion of parts from vendor A that are defective, and find the uncertainty in the estimate.

b. Estimate the proportion of parts from vendor B that are defective, and find the uncertainty in the estimate.

c. Estimate the difference in the proportions, and find the uncertainty in the estimate.

Step-by-Step Solution:

Answer :

Step 1 of 4:

Given, we have two sample size, vender A ordered random sample of 100 parts, in that 12 were defectives.

vender B ordered random sample of 200 parts, in that 10 were defectives.

Let X follows binomial distribution with probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

Where,

n = sample size

   = 5

x = random variable

p = probability of success

q = 1 - p (probability of failure)

The goal of the problem is

  1. We have to find the proportion of  parts from part A  that are defective and the uncertainty in the estimate.
  2. We have to find the proportion of  parts from part B  that are defective and the uncertainty in the estimat.
  3. We have to find the difference in the proportions, and the uncertainty in the estimate.


Step 2 of 3

Chapter 4.2, Problem 11E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: estimate, vendor, defective, parts, uncertainty. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 11E from chapter: 4.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 11E from 4.2 chapter was answered, more than 857 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “In a random sample of 100 parts ordered from vendor A, 12 were defective. In a random sample of 200 parts ordered from vendor B, 10 were defective.a. Estimate the proportion of parts from vendor A that are defective, and find the uncertainty in the estimate.________________b. Estimate the proportion of parts from vendor B that are defective, and find the uncertainty in the estimate.________________c. Estimate the difference in the proportions, and find the uncertainty in the estimate.” is broken down into a number of easy to follow steps, and 77 words.

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In a random sample of 100 parts ordered from vendor A, 12