A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 5 inches and a standard deviation of 0.10 inch. The quality control inspector takes a' sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 4.95 inches or greater than 5.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment? Round your answer to 4 decimal places. .0062 Probability = the tolerance is +/-2%

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Chapter 07, Section 7.4, Problem 041
X Your answer is incorrect. Try again.
A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 5 inches and a standard deviation of
0.10 inch. The quality control inspector takes a' sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 4.95 inches or greater than
5.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an
adjustment?
Round your answer to 4 decimal places.
.0062
Probability =
the tolerance is +/-2%
SHIN HINT
SAVE FOR LATER
SUBMIT ANSWER
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Transcribed Image Text:Chapter 07, Section 7.4, Problem 041 X Your answer is incorrect. Try again. A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 5 inches and a standard deviation of 0.10 inch. The quality control inspector takes a' sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 4.95 inches or greater than 5.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment? Round your answer to 4 decimal places. .0062 Probability = the tolerance is +/-2% SHIN HINT SAVE FOR LATER SUBMIT ANSWER Question Attempts: 1 of 2 used un on a Ejon. 5b tion 19 ection 22 powered by MapleNet Version 4.24.20.1 nt I Privacy Policy I 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons. Inc. MacBook Air DII DD 80 F11 F12 E7 F8 F9 F10 F6 F1 F2 F3 F4 F5 @ 23 2$ & delets %3D 4 7 8
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