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# A machine manufactures bolts that are supposed to be 3

ISBN: 9780073401331 38

## Solution for problem 13SE Chapter 6

Statistics for Engineers and Scientists | 4th Edition

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Problem 13SE

A machine manufactures bolts that are supposed to be 3 inches in length. Each day a quality engineer selects a random sample of 50 bolts from the day’s production, measures their lengths, and performs a hypothesis test of H0: µ = 3 versus H1: µ ≠ 3 where µ is the mean length of all the bolts manufactured that day. Assume that the population standard deviation for bolt lengths is 0.1 in. If H0 is rejected at the 5% level, the machine is shut down and recalibrated.

a. Assume that on a given day, the true mean length of bolts is 3 in. What is the probability that the machine will be shut down? (This is called the false alarm rate.)

b. If the true mean bolt length on a given day is 3.01 in., find the probability that the equipment will be recalibrated.

Step-by-Step Solution:
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Section 3.1 STAT 250 David Holmes FEB 13 Numerical Summaries of Center and Variation Three characteristics of a numerical variable’s distribution: • Shape • Center (Typical Value) • Spread (Variability) Can a few numerical measures be used to describe a distribution’s entire shape NO Graphs provide the best overall picture of a distribution....

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##### ISBN: 9780073401331

The answer to “A machine manufactures bolts that are supposed to be 3 inches in length. Each day a quality engineer selects a random sample of 50 bolts from the day’s production, measures their lengths, and performs a hypothesis test of H0: µ = 3 versus H1: µ ? 3 where µ is the mean length of all the bolts manufactured that day. Assume that the population standard deviation for bolt lengths is 0.1 in. If H0 is rejected at the 5% level, the machine is shut down and recalibrated.a. Assume that on a given day, the true mean length of bolts is 3 in. What is the probability that the machine will be shut down? (This is called the false alarm rate.)________________b. If the true mean bolt length on a given day is 3.01 in., find the probability that the equipment will be recalibrated.” is broken down into a number of easy to follow steps, and 142 words. Since the solution to 13SE from 6 chapter was answered, more than 380 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 full step-by-step solution to problem: 13SE from chapter: 6 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: day, bolts, length, machine, mean. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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