Acoording to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by tesearchers, 4,000 reaches (the expected number in a rouch-infested house) were released in the tost kibchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1 -week period. Assume that none of the original roaches died during the 1 -week period and that the standard deviation ofx, the number of roaches produced per roach in a 1 -weok period, is 1.3 . Use the number of roaches produced by the sample of 4,000 rosches to find a pos confidence interval for the mean number of roaches produced per wook for each rosch in a typical toach-infosted house. Find a99%confidence interval for the mean number of roaches prodused per week for each roach in a typical roach infested housen (Round to three decimal places as needed) According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 4,000 roaches (the expected number in a roach-infestedhouse) were released in the test kitchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1-week period. Assume that none of theoriginal 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 1.3. Use the number of roaches produced by thesample of 4,000 roaches to find a 99% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.CELEFind a 99% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house00(Round to three decimal places as needed.)

Answer Given The sample size [n] =4000The mean =2.6163Standard deviation =1.3

Answered: Acoording to scientists, the cockroach…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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Acoording to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by tesearchers, 4,000 reaches (the expected number in a rouch-infested house) were released in the tost kibchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1 -week period. Assume that none of the original roaches died during the 1 -week period and that the standard deviation ofx, the number of roaches produced per roach in a 1 -weok period, is 1.3 . Use the number of roaches produced by the sample of 4,000 rosches to find a pos confidence interval for the mean number of roaches produced per wook for each rosch in a typical toach-infosted house. Find a99%confidence interval for the mean number of roaches prodused per week for each roach in a typical roach infested housen (Round to three decimal places as needed)