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The quality-assurance program for a certain adhesive

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

Solution for problem 20E Chapter 4.5

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 20E

The quality-assurance program for a certain adhesive formulation process involves measuring how well the adhesive sticks a piece of plastic to a glass surface. When the process is functioning correctly, the adhesive strength X is normally distributed with a mean of 200 N and a standard deviation of 10 N. Each hour, you make one measurement of the adhesive strength. You are supposed to inform your supervisor if your measurement indicates that the process has strayed from its target distribution.

a. Find P(X ≤ 160), under the assumption that the process is functioning correctly.

b. Based on your answer to part (a), if the process is functioning correctly, would a strength of 160 N be unusually small? Explain.

c. If you observed an adhesive strength of 160 N, would this be convincing evidence that the process was no longer functioning correctly? Explain.

d. Find P(X  ≥ 203), under the assumption that the process is functioning correctly.

e. Based on your answer to part (d), if the process is functioning correctly, would a strength of 203 N be unusually large? Explain.

f. If you observed an adhesive strength of 203 N, would this be convincing evidence that the process was no longer functioning correctly? Explain.

g. Find P(X  ≤ 195), under the assumption that the process is functioning correctly.

h. Based on your answer to part (g), if the process is functioning correctly, would a strength of 195 N be unusually small? Explain.

i. If you observed an adhesive strength of 195 N, would this be convincing evidence that the process was no longer functioning correctly? Explain.

Step-by-Step Solution:

Answer:

Step 1 of 9:

(a)

In this question, we are asked to find , under the assumption that the process is functioning correctly.

When the process is functioning correctly, the adhesive strength  is normally distributed with a mean of  and a standard deviation of  10.

We need to find .

Here we can write,

Now we will calculate the  score because our distribution is approximately normal.

The z-score of 160 is z  =

From the z table, the area to the left of  is negligible.

Therefore  .


Step 2 of 9

Chapter 4.5, Problem 20E is Solved
Step 3 of 9

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

The full step-by-step solution to problem: 20E from chapter: 4.5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: process, functioning, correctly, Strength, adhesive. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “?The quality-assurance program for a certain adhesive formulation process involves measuring how well the adhesive sticks a piece of plastic to a glass surface. When the process is functioning correctly, the adhesive strength X is normally distributed with a mean of 200 N and a standard deviation of 10 N. Each hour, you make one measurement of the adhesive strength. You are supposed to inform your supervisor if your measurement indicates that the process has strayed from its target distribution.a. Find P(X ? 160), under the assumption that the process is functioning correctly.b. Based on your answer to part (a), if the process is functioning correctly, would a strength of 160 N be unusually small? Explain.c. If you observed an adhesive strength of 160 N, would this be convincing evidence that the process was no longer functioning correctly? Explain.d. Find P(X ? 203), under the assumption that the process is functioning correctly.e. Based on your answer to part (d), if the process is functioning correctly, would a strength of 203 N be unusually large? Explain.f. If you observed an adhesive strength of 203 N, would this be convincing evidence that the process was no longer functioning correctly? Explain.g. Find P(X ? 195), under the assumption that the process is functioning correctly.h. Based on your answer to part (g), if the process is functioning correctly, would a strength of 195 N be unusually small? Explain.i. If you observed an adhesive strength of 195 N, would this be convincing evidence that the process was no longer functioning correctly? Explain.” is broken down into a number of easy to follow steps, and 257 words. Since the solution to 20E from 4.5 chapter was answered, more than 1177 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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