According to​ scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by​ researchers, 6 comma 0006,000 roaches​ (the expected number in a​ roach-infested house) were released in the test kitchen. One week​ later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were​ counted, a gain of 12 comma 10712,107 roaches for the​ 1-week period. Assume that none of the original roaches died during the​ 1-week period and that the standard deviation of​ x, the number of roaches produced per roach in a​ 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595​% confidence interval for the mean number of roaches produced per week for each roach in a typical​ roach-infested house.   Find a 95​% confidence interval for the mean number of roaches produced per week for each roach in a typical​ roach-infested house.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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According to​ scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by​ researchers,
6 comma 0006,000
roaches​ (the expected number in a​ roach-infested house) were released in the test kitchen. One week​ later, the kitchen was fumigated and
18 comma 10718,107
dead roaches were​ counted, a gain of
12 comma 10712,107
roaches for the​ 1-week period. Assume that none of the original roaches died during the​ 1-week period and that the standard deviation of​ x, the number of roaches produced per roach in a​ 1-week period, is
1.61.6.
Use the number of roaches produced by the sample of
6 comma 0006,000
roaches to find a
9595​%
confidence interval for the mean number of roaches produced per week for each roach in a typical​ roach-infested house.
 
Find a 95​% confidence interval for the mean number of roaches produced per week for each roach in a typical​ roach-infested house.
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