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What proportion of the bottles will a. between 1.90 and 2.0 liters? b. between 1.90 and 2.10 liters? c. below 1.90 liters or above 2.10 d. At least how much soft drink is

What proportion of the bottles will a. between 1.90 and 2.0 liters? b. between 1.90 and 2.10 liters? c. below 1.90 liters or above 2.10 d. At least how much soft drink is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can you answer 6.34, prob d? As well as c?
6.28 1I0 Juu Imu the area between two values under the normal curve? 6 29 How do you find the X value that corresponds to a given 6.31 How does the shape of the normal distribution differ from the shapes of the uniform and exponential distributions? percentile of the normal distribution? 6.32 How can you use the normal probability plot to evaluate whether a set of data is normally distributed? 6.30 What are some of the distinguishing properties of a normal distribution? CHAPTER REVIEW PROBLEMS 6,33 An industrial sewing machine uses ball bearings that are tar- geted to have a diameter of 0.75 inch. The lower and upper speci- fication limits under which the ball bearings can operate are 0.74 inch and 0.76 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally alty by the state office of consumer affairs. Bottles that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of the bottles will contain a. between 1.90 and 2.0 liters? b. between 1.90 and 2.10 liters? c. below 1.90 liters or above 2.10 liters? d. At least how much soft drink is contained in 99% of the bottles? e. Ninety-nine percent of the bottles contain an amount that is between which two values (symmetrically distributed) around the mean? distributed, with a mean of 0.753 inch and a standard deviation of 0.004 inch. What is the probability that a ball bearing is a. between the target and the actual mean? b. between the lower specification limit and the target? c. above the upper specification limit? d. below the lower specification limit? e. Of all the ball bearings, 93% of the diameters are greater than what value? 6.35 In an effort to reduce the number of bottles that contain less than 1.90 liters, the bottler in Problem 6.34 sets the filling machine so that the mean is 2.02 liters. Under these circumstances, what 6.34 The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If bottles contain less than 95% of the listed net content (1.90 liters, in this case), the manufacturer may be subject to pen- are your answers in Problem 6.34 (a) through (e)? 6.36 Webrooming, researching products online before buying them in store, has become the new norm for today's connected
Transcribed Image Text:6.28 1I0 Juu Imu the area between two values under the normal curve? 6 29 How do you find the X value that corresponds to a given 6.31 How does the shape of the normal distribution differ from the shapes of the uniform and exponential distributions? percentile of the normal distribution? 6.32 How can you use the normal probability plot to evaluate whether a set of data is normally distributed? 6.30 What are some of the distinguishing properties of a normal distribution? CHAPTER REVIEW PROBLEMS 6,33 An industrial sewing machine uses ball bearings that are tar- geted to have a diameter of 0.75 inch. The lower and upper speci- fication limits under which the ball bearings can operate are 0.74 inch and 0.76 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally alty by the state office of consumer affairs. Bottles that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of the bottles will contain a. between 1.90 and 2.0 liters? b. between 1.90 and 2.10 liters? c. below 1.90 liters or above 2.10 liters? d. At least how much soft drink is contained in 99% of the bottles? e. Ninety-nine percent of the bottles contain an amount that is between which two values (symmetrically distributed) around the mean? distributed, with a mean of 0.753 inch and a standard deviation of 0.004 inch. What is the probability that a ball bearing is a. between the target and the actual mean? b. between the lower specification limit and the target? c. above the upper specification limit? d. below the lower specification limit? e. Of all the ball bearings, 93% of the diameters are greater than what value? 6.35 In an effort to reduce the number of bottles that contain less than 1.90 liters, the bottler in Problem 6.34 sets the filling machine so that the mean is 2.02 liters. Under these circumstances, what 6.34 The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If bottles contain less than 95% of the listed net content (1.90 liters, in this case), the manufacturer may be subject to pen- are your answers in Problem 6.34 (a) through (e)? 6.36 Webrooming, researching products online before buying them in store, has become the new norm for today's connected
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