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3. A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a standard deviation of 0.25 ounce. What does the mean have to be in order for 99.5% of the boxes to contain 24 ounces or more of cereal?

3. A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a standard deviation of 0.25 ounce. What does the mean have to be in order for 99.5% of the boxes to contain 24 ounces or more of cereal?

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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Standard Normal Table z .0 1 .2 3 .4 .5 .6 .7 .8 .9 -3 0013 0010 .0007 .0005 0003 0002 0002 „0001 .0001 .0000+ -2 0228 0179 .0139 .0107 0082 .0062 0047 0035 .0026 0019 -1 .1587 .1357 .1151 0968 0808 .0668 0548 0446 .0359 .0287 -0 5000 4602 4207 3821 3446 3085 2743 2420 2119 .1841 0 5000 5398 5793 6179 .6554 .6915 7257 7580 7881 8159 1 8413 8643 8849 9032 9192 9332 9452 9554 9641 9713 2 9772 9821 9861 9893 .9918 9938 9953 9965 9974 9981 3 9987 9990 9993 9995 9997 9998 9998 9999 9999 1.0000 MIT
Transcribed Image Text:Standard Normal Table z .0 1 .2 3 .4 .5 .6 .7 .8 .9 -3 0013 0010 .0007 .0005 0003 0002 0002 „0001 .0001 .0000+ -2 0228 0179 .0139 .0107 0082 .0062 0047 0035 .0026 0019 -1 .1587 .1357 .1151 0968 0808 .0668 0548 0446 .0359 .0287 -0 5000 4602 4207 3821 3446 3085 2743 2420 2119 .1841 0 5000 5398 5793 6179 .6554 .6915 7257 7580 7881 8159 1 8413 8643 8849 9032 9192 9332 9452 9554 9641 9713 2 9772 9821 9861 9893 .9918 9938 9953 9965 9974 9981 3 9987 9990 9993 9995 9997 9998 9998 9999 9999 1.0000 MIT
3. A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a standard deviation of 0.25 ounce. What does the mean have to be in order for 99.5% of the boxes to contain 24 ounces or more of cereal?
Transcribed Image Text:3. A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a standard deviation of 0.25 ounce. What does the mean have to be in order for 99.5% of the boxes to contain 24 ounces or more of cereal?
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