6. a. b. Suppose that a printer needs an average of K minutes to print several designs. Given that the standard deviation to print all design is 1.6 minutes. If a random sample of 40 designs is selected, What is the value of K so that there is 99% chance that the sample mean will be at least 13.60 minutes? Find the probability that the sample mean will be below 13.7 or above 14.8 minutes.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The following problem discusses the average time a printer requires to print several designs:

6. Suppose that a printer needs an average of \( K \) minutes to print several designs. The standard deviation of the print time for all designs is 1.6 minutes. A random sample of 40 designs is selected. 

a. What is the value of \( K \) so that there is a 99% chance that the sample mean will be at least 13.60 minutes?

b. Find the probability that the sample mean will be below 13.7 or above 14.8 minutes.
Transcribed Image Text:The following problem discusses the average time a printer requires to print several designs: 6. Suppose that a printer needs an average of \( K \) minutes to print several designs. The standard deviation of the print time for all designs is 1.6 minutes. A random sample of 40 designs is selected. a. What is the value of \( K \) so that there is a 99% chance that the sample mean will be at least 13.60 minutes? b. Find the probability that the sample mean will be below 13.7 or above 14.8 minutes.
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