According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 5,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 15,693 dead roaches were counted, a gain of 10,693 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 1.6. Use the number of roaches produced by the sample of 5,000 roaches to find a 95% 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.

Question
According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 5,000 roaches (the
expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 15,693 dead roaches were counted, a
gain of 10,693 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 1.6. Use the number of roaches produced by the sample of 5,000 roaches to find a 95% 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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According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 5,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 15,693 dead roaches were counted, a gain of 10,693 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 1.6. Use the number of roaches produced by the sample of 5,000 roaches to find a 95% 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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