ufacturer knows that the number of items produced per hour by machine A and by machine B are normally distributed with a standard deviation of 4.4 items for machine ard deviation of 6.5 items for machine B. The mean hourly amount produced by machine A for a random sample of 57 hours was 229 units; the mean hourly amount pro ne B for a random sample of 47 hours was 215 units. Find a 99% confidence interval for the difference in mean parts produced per hour by these two machines. onfidence interval is

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A manufacturer knows that the number of items produced per hour by machine A and by machine B are normally distributed with a standard deviation of 4.4 items for machine A and a
standard deviation of 6.5 items for machine B. The mean hourly amount produced by machine A for a random sample of 57 hours was 229 units; the mean hourly amount produced by
machine B for a random sample of 47 hours was 215 units. Find a 99% confidence interval for the difference in mean parts produced per hour by these two machines.
The confidence interval is
<Hx-Hy
(Round to four decimal places as needed)
Transcribed Image Text:A manufacturer knows that the number of items produced per hour by machine A and by machine B are normally distributed with a standard deviation of 4.4 items for machine A and a standard deviation of 6.5 items for machine B. The mean hourly amount produced by machine A for a random sample of 57 hours was 229 units; the mean hourly amount produced by machine B for a random sample of 47 hours was 215 units. Find a 99% confidence interval for the difference in mean parts produced per hour by these two machines. The confidence interval is <Hx-Hy (Round to four decimal places as needed)
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