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 6.7 items for machine B. The mean hourly amount produced by machine A for a random sample of 54 hours was 226 units; the mean hourly amount produced by machine B for a random sample of 45 hours was 215 units. Find a 99% confidence interval for the difference in mean parts produced per hour by these two machines. t The confidence interval is
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 6.7 items for machine B. The mean hourly amount produced by machine A for a random sample of 54 hours was 226 units; the mean hourly amount produced by machine B for a random sample of 45 hours was 215 units. Find a 99% confidence interval for the difference in mean parts produced per hour by these two machines. t The confidence interval is
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 6.7 items for machine B.
The mean hourly amount produced by machine A for a random sample of 54 hours was 226 units; the mean hourly
amount produced by machine B for a random sample of 45 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
1
(Round to four decimal places as needed)
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01ac07b9-94d3-4bc1-91b7-721d4ce1d107%2F139d054c-1331-4505-83ec-fddefcbdfeeb%2F9dv7lp9_processed.jpeg&w=3840&q=75)
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 6.7 items for machine B.
The mean hourly amount produced by machine A for a random sample of 54 hours was 226 units; the mean hourly
amount produced by machine B for a random sample of 45 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
1
(Round to four decimal places as needed)
1
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