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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.11 - Problem 17e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.11 - Problem 17e

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# A new process has been designed to make ceramic tiles. The ISBN: 9780073401331 38

## Solution for problem 17E Chapter 4.11

Statistics for Engineers and Scientists | 4th Edition

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Problem 17E

Problem 17E

A new process has been designed to make ceramic tiles. The goal is to have no more than 5% of the tiles be nonconforming due to surface defects. A random sample of 1000 tiles is inspected. Let X be the number of nonconforming tiles in the sample.

a. If 5% of the tiles produced are nonconforming, what is P(X ≥ 75)?

b. Based on the answer to part (a), if 5% of the tiles are nonconforming, is 75 nonconforming tiles out of 1000 an unusually large number?

c. If 75 of the sample tiles were nonconforming, would it be plausible that the goal had been reached? Explain.

d. If 5% of the tiles produced are nonconforming, what is P(X ≥ 53)?

e. Based on the answer to part (d), if 5% of the tiles are nonconforming, is 53 nonconforming tiles out of 1000 an unusually large number?

f. If 53 of the sample tiles were nonconforming, would it be plausible that the goal had been reached? Explain.

Step-by-Step Solution:

Solution

Step 1 of 7

Here the goal is to have no more than 5% of the tiles nonconforming

So p=0.05

Here the sample size 1000

n=1000

Let X is the no.of  non conforming tiles

Here X B(1000,0.05)

Now X is approximately  normal with

Mean =1000(0.05)

= 50

Standard deviation = = =6.89

Step 2 of 7

Step 3 of 7

##### ISBN: 9780073401331

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. Since the solution to 17E from 4.11 chapter was answered, more than 834 students have viewed the full step-by-step answer. This full solution covers the following key subjects: tiles, nonconforming, sample, goal, been. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 17E from chapter: 4.11 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “A new process has been designed to make ceramic tiles. The goal is to have no more than 5% of the tiles be nonconforming due to surface defects. A random sample of 1000 tiles is inspected. Let X be the number of nonconforming tiles in the sample.a. If 5% of the tiles produced are nonconforming, what is P(X ? 75)?________________b. Based on the answer to part (a), if 5% of the tiles are nonconforming, is 75 nonconforming tiles out of 1000 an unusually large number?________________c. If 75 of the sample tiles were nonconforming, would it be plausible that the goal had been reached? Explain.________________d. If 5% of the tiles produced are nonconforming, what is P(X ? 53)?________________e. Based on the answer to part (d), if 5% of the tiles are nonconforming, is 53 nonconforming tiles out of 1000 an unusually large number?________________f. If 53 of the sample tiles were nonconforming, would it be plausible that the goal had been reached? Explain.” is broken down into a number of easy to follow steps, and 161 words.

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