Mathematics, 22.02.2021 19:00 mrstaker1518
The AMS technical services department has embarked on a quality improvement effort. Its first project relates to maintaining the target upload speed for its Internet service subscribers. Upload speeds are measured on a standard scale which the target value is 1.0. Data collected over the past year indicate that the upload speed is approximately normally distributed, with a mean of 1.005 and a standard deviation of 0.10. Each day, one upload speed is measured. The upload speed is considered acceptable if the measurement on the standard scale between 0.95 and 1.05.
1. Assuming that the distribution has not changed from what it was in the past year, what is the probability that the upload speed is
a. less than 1.0?
b. between 0.95 and 1.0?
c. between 1.0 and 1.05?
d. less than 0.95 or greater than 1.05?
2.) The objective of the operations team is to reduce the probability that the upload speed is below 1.0. Should the team focus on process improvement that increases the mean upload speed 1.05 or on process improvement that reduces the standard deviation of the upload speed to 0.075? Explain
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